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PROBABILITY MASS-FUNCTION

  • Probability mass function
  • Discrete-variable probability distribution

    In probability and statistics, a probability mass function (sometimes called probability function or frequency function) is a function that gives the

    Probability mass function

    Probability mass function

    Probability_mass_function

  • Probability generating function
  • Power series derived from a discrete probability distribution

    (the generating function) of the probability mass function of the random variable. Probability generating functions are often employed for their succinct

    Probability generating function

    Probability_generating_function

  • Probability density function
  • Description of continuous random distribution

    In probability theory, a probability density function (PDF), density function, or simply density of an absolutely continuous random variable, is a function

    Probability density function

    Probability density function

    Probability_density_function

  • Joint probability distribution
  • Type of probability distribution

    terms of a joint probability density function (in the case of continuous variables) or joint probability mass function (in the case of discrete variables)

    Joint probability distribution

    Joint probability distribution

    Joint_probability_distribution

  • Cumulative distribution function
  • Probability that random variable X is less than or equal to x

    In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution

    Cumulative distribution function

    Cumulative distribution function

    Cumulative_distribution_function

  • Characteristic function (probability theory)
  • Fourier transform of the probability density function

    In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution. If

    Characteristic function (probability theory)

    Characteristic function (probability theory)

    Characteristic_function_(probability_theory)

  • Probability distribution
  • Mathematical function for the probability a given outcome occurs in an experiment

    practice, probability distributions are often described by functions such as cumulative distribution functions, probability mass functions, or probability density

    Probability distribution

    Probability distribution

    Probability_distribution

  • Binomial distribution
  • Probability distribution

    The probability of getting exactly k successes in n independent Bernoulli trials (with the same rate p) is given by the probability mass function: f (

    Binomial distribution

    Binomial distribution

    Binomial_distribution

  • Probability function
  • Topics referred to by the same term

    Probability measure, a real-valued function on a probability space Probability mass function Probability distribution function (disambiguation) This disambiguation

    Probability function

    Probability_function

  • Probability distribution function
  • Topics referred to by the same term

    experiment Probability density function, a local differential probability measure for continuous random variables Probability mass function (a.k.a. discrete

    Probability distribution function

    Probability_distribution_function

  • Hypergeometric distribution
  • Discrete probability distribution

    {\displaystyle X} follows the hypergeometric distribution if its probability mass function (pmf) is given by p X ( k ) = Pr ( X = k ) = ( K k ) ( N − K n

    Hypergeometric distribution

    Hypergeometric distribution

    Hypergeometric_distribution

  • Negative binomial distribution
  • Probability distribution

    To understand the above definition of the probability mass function, note that the probability for every specific sequence of r successes and k failures

    Negative binomial distribution

    Negative binomial distribution

    Negative_binomial_distribution

  • Geometric distribution
  • Probability distribution

    Its probability mass function depends on its parameterization and support. When supported on N {\displaystyle \mathbb {N} } , the probability mass function

    Geometric distribution

    Geometric distribution

    Geometric_distribution

  • Conditional probability distribution
  • Probability theory and statistics concept

    included variables. For discrete random variables, the conditional probability mass function of Y {\displaystyle Y} given X = x {\displaystyle X=x} can be

    Conditional probability distribution

    Conditional_probability_distribution

  • Mode (statistics)
  • Value that appears most often in a set of data

    discrete random variable, the mode is the value x at which the probability mass function P(X) takes its maximum value, i.e., x = argmaxxi P(X = xi). In

    Mode (statistics)

    Mode_(statistics)

  • Illustration of the central limit theorem
  • done by hand, involves a discrete probability distribution, which is characterized by a probability mass function. The density of the sum of two independent

    Illustration of the central limit theorem

    Illustration_of_the_central_limit_theorem

  • Poisson distribution
  • Discrete probability distribution

    distribution with parameter λ > 0 {\displaystyle \lambda >0} if it has a probability mass function given by: f ( k ; λ ) = Pr ( X = k ) = λ k e − λ k ! , {\displaystyle

    Poisson distribution

    Poisson distribution

    Poisson_distribution

  • Random variable
  • Variable representing a random phenomenon

    distribution is a discrete probability distribution, i.e. can be described by a probability mass function that assigns a probability to each value in the image

    Random variable

    Random variable

    Random_variable

  • Moment generating function
  • Concept in probability theory and statistics

    In probability theory and statistics, the moment generating function of a real-valued random variable is a generating function that provides an alternative

    Moment generating function

    Moment_generating_function

  • Marginal distribution
  • Aspect of probability and statistics

    If X1,X2,…,Xn are discrete random variables, then the marginal probability mass function should be p X i ( k ) = ∑ p ( x 1 , x 2 , … , x i − 1 , k , x

    Marginal distribution

    Marginal_distribution

  • Likelihood function
  • Function related to statistics and probability theory

    and continuous probability distributions (a more general definition is discussed below). Given a probability density or mass function x ↦ f ( x ∣ θ )

    Likelihood function

    Likelihood_function

  • Poisson binomial distribution
  • Probability distribution

    f(p_{1:2^{b}})=f(p_{1:2^{b-1}})*f(p_{2^{b-1}+1:2^{b}})} . More generally, the probability mass function of a Poisson binomial can be expressed as the convolution of the

    Poisson binomial distribution

    Poisson_binomial_distribution

  • Notation in probability and statistics
  • joint probability mass function or probability density function as f ( x , y ) {\displaystyle f(x,y)} and joint cumulative distribution function as F (

    Notation in probability and statistics

    Notation_in_probability_and_statistics

  • Information content
  • Quantity in information theory

    Formally, given a discrete random variable X {\displaystyle X} with probability mass function p X ( x ) {\displaystyle p_{X}{\left(x\right)}} , the self-information

    Information content

    Information_content

  • Quantile function
  • Statistical function that defines the quantiles of a probability distribution

    In probability and statistics, a probability distribution's quantile function is the inverse of its cumulative distribution function. That is, the quantile

    Quantile function

    Quantile function

    Quantile_function

  • Mass function
  • Topics referred to by the same term

    when they initially form, before evolution Probability mass function, a function that gives the probability that a discrete random variable is exactly

    Mass function

    Mass_function

  • Entropy (information theory)
  • Average uncertainty in variable's states

    entropy H ( p ) {\displaystyle \mathrm {H} (p)} is concave in the probability mass function p {\displaystyle p} , i.e. H ( λ p 1 + ( 1 − λ ) p 2 ) ≥ λ H (

    Entropy (information theory)

    Entropy_(information_theory)

  • Probability amplitude
  • Complex number whose squared absolute value is a probability

    proposed by Max Born, in 1926. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum

    Probability amplitude

    Probability amplitude

    Probability_amplitude

  • Probability theory
  • Branch of mathematics concerning probability

    Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations

    Probability theory

    Probability theory

    Probability_theory

  • Multinomial distribution
  • Generalization of the binomial distribution

    k) as Xi, and denote as pi the probability that a given extraction will be in color i. The probability mass function of this multinomial distribution

    Multinomial distribution

    Multinomial_distribution

  • Convolution of probability distributions
  • Probability distribution of the sum of random variables

    distributions. The term is motivated by the fact that the probability mass function or probability density function of a sum of independent random variables is the

    Convolution of probability distributions

    Convolution_of_probability_distributions

  • Bernoulli distribution
  • Probability distribution modeling a coin toss which need not be fair

    {\begin{aligned}\Pr(X{=}1)&=p,\\\Pr(X{=}0)&=q=1-p.\end{aligned}}} The probability mass function f {\displaystyle f} of this distribution, over possible outcomes

    Bernoulli distribution

    Bernoulli distribution

    Bernoulli_distribution

  • Location parameter
  • Concept in statistics

    a probability density function or probability mass function f ( x − x 0 ) {\displaystyle f(x-x_{0})} ; or having a cumulative distribution function F

    Location parameter

    Location_parameter

  • Hermite distribution
  • Statistical probability Distribution for discrete event counts

    The probability distribution of the random variable Y = X1 + 2X2 is the Hermite distribution with parameters a1 and a2 and probability mass function is

    Hermite distribution

    Hermite distribution

    Hermite_distribution

  • Cantor distribution
  • Probability distribution

    density function nor a probability mass function, since although its cumulative distribution function is a continuous function, the distribution is not

    Cantor distribution

    Cantor distribution

    Cantor_distribution

  • Moment (mathematics)
  • In mathematics, a quantitative measure of the shape of a set of points

    function in mathematics are certain quantitative measures related to the shape of the function's graph. For example, if the function represents mass density

    Moment (mathematics)

    Moment_(mathematics)

  • Skellam distribution
  • Discrete probability distribution

    Karlis & Ntzoufras (2003) for details and an application. The probability mass function for the Skellam distribution for a difference K = N 1 − N 2 {\displaystyle

    Skellam distribution

    Skellam distribution

    Skellam_distribution

  • Conway–Maxwell–Poisson distribution
  • Probability distribution

    The CMP distribution is defined to be the distribution with probability mass function P ( X = x ) = f ( x ; λ , ν ) = λ x ( x ! ) ν 1 Z ( λ , ν ) .

    Conway–Maxwell–Poisson distribution

    Conway–Maxwell–Poisson distribution

    Conway–Maxwell–Poisson_distribution

  • Symmetric probability distribution
  • Type of probability distribution

    unchanged when its probability density function (for continuous probability distribution) or probability mass function (for discrete random variables) is

    Symmetric probability distribution

    Symmetric probability distribution

    Symmetric_probability_distribution

  • Logarithmic distribution
  • Discrete probability distribution

    {-1}{\ln(1-p)}}\;{\frac {p^{k}}{k}}=1.} This leads directly to the probability mass function of a Log(p)-distributed random variable: f ( k ) = − 1 ln ⁡ (

    Logarithmic distribution

    Logarithmic distribution

    Logarithmic_distribution

  • Saddlepoint approximation method
  • Statistical approximation method

    approximation formula for any PDF or probability mass function of a distribution, based on the moment generating function. There is also a formula for the

    Saddlepoint approximation method

    Saddlepoint_approximation_method

  • Parameter
  • Variable used for specification

    Poisson distribution with mean value λ". The function defining the distribution (the probability mass function) is: f ( k ; λ ) = e − λ λ k k ! . {\displaystyle

    Parameter

    Parameter

  • Zero-truncated Poisson distribution
  • Conditional Poisson distribution restricted to positive integers

    distribution with the truncation stipulated as k > 0, one can derive the probability mass function g(k;λ) from a standard Poisson distribution f(k;λ) as follows:

    Zero-truncated Poisson distribution

    Zero-truncated_Poisson_distribution

  • Survival function
  • Probability of survival beyond any specified time

    The survival function is a function that gives the probability that a patient, device, or other object of interest will survive past a certain time. The

    Survival function

    Survival_function

  • Zeta distribution
  • Probability distribution in mathematics

    with parameter s, then the probability that X takes the positive integer value k is given by the probability mass function f s ( k ) = k − s ζ ( s ) {\displaystyle

    Zeta distribution

    Zeta distribution

    Zeta_distribution

  • Flory–Schulz distribution
  • Probability distribution in chemistry

    in an ideal step-growth polymerization process. The probability mass function (pmf) for the mass fraction of chains of length k {\displaystyle k} is:

    Flory–Schulz distribution

    Flory–Schulz distribution

    Flory–Schulz_distribution

  • Student's t-distribution
  • Probability distribution

    t ν {\displaystyle t_{\nu }} has heavier tails, and the amount of probability mass in the tails is controlled by the parameter ν {\displaystyle \nu }

    Student's t-distribution

    Student's t-distribution

    Student's_t-distribution

  • Total variation distance of probability measures
  • Concept in probability theory

    L1 distance between the probability functions: on discrete domains, this is the distance between the probability mass functions δ ( P , Q ) = 1 2 ∑ x |

    Total variation distance of probability measures

    Total variation distance of probability measures

    Total_variation_distance_of_probability_measures

  • De Moivre–Laplace theorem
  • Convergence in distribution of binomial to normal distribution

    certain conditions. In particular, the theorem shows that the probability mass function of the random number of "successes" observed in a series of n

    De Moivre–Laplace theorem

    De Moivre–Laplace theorem

    De_Moivre–Laplace_theorem

  • List of convolutions of probability distributions
  • distributions. The term is motivated by the fact that the probability mass function or probability density function of a sum of independent random variables is the

    List of convolutions of probability distributions

    List_of_convolutions_of_probability_distributions

  • Cumulant
  • Set of quantities in probability theory

    In probability theory and statistics, the cumulants κn of a probability distribution are a set of quantities that provide an alternative to the moments

    Cumulant

    Cumulant

  • Yule–Simon distribution
  • Discrete probability distribution

    Simon. Simon originally called it the Yule distribution. The probability mass function (pmf) of the Yule–Simon (ρ) distribution is f ( k ; ρ ) = ρ B

    Yule–Simon distribution

    Yule–Simon distribution

    Yule–Simon_distribution

  • Probability current
  • Value for the flow of probability in quantum mechanics

    current (i.e. the probability current density) is related to the probability density function via a continuity equation. The probability current is invariant

    Probability current

    Probability_current

  • Gauss–Kuzmin distribution
  • Probability distribution in number theory

    bound on the rate of convergence in 1929. It is given by the probability mass function p ( k ) = − log 2 ⁡ ( 1 − 1 ( k + 1 ) 2 )   . {\displaystyle p(k)=-\log

    Gauss–Kuzmin distribution

    Gauss–Kuzmin distribution

    Gauss–Kuzmin_distribution

  • Unimodality
  • Property of having a unique mode or maximum value

    in the sequence of differences of the probabilities. A discrete distribution with a probability mass function, { p n : n = … , − 1 , 0 , 1 , … } {\displaystyle

    Unimodality

    Unimodality

  • Probability vector
  • Vector with non-negative entries that add up to one

    distribution of probabilities across the n possible numerical outcomes of a random variable. The vector gives us the probability mass function of that random

    Probability vector

    Probability_vector

  • Extended negative binomial distribution
  • Probability distribution

    real parameters p, r with 0 < p ≤ 1 and –m < r < –m + 1, the probability mass function of the ExtNegBin(m, r, p) distribution is given by f ( k ; m

    Extended negative binomial distribution

    Extended_negative_binomial_distribution

  • Probability distribution fitting
  • Mathematical concept

    of the newly obtained probability mass function can also be determined. The variance for a Bayesian probability mass function can be defined as σ P θ

    Probability distribution fitting

    Probability_distribution_fitting

  • Law of the unconscious statistician
  • Theorem in probability and statistics

    question. If the distribution of X is discrete and one knows its probability mass function pX, then the expected value of g(X) is E ⁡ [ g ( X ) ] = ∑ x g

    Law of the unconscious statistician

    Law_of_the_unconscious_statistician

  • Dirichlet process
  • Family of stochastic processes

    particular distribution. As an example, a single die represents a probability mass function (pmf), so a bag of 100 real-world dice is a collection of random

    Dirichlet process

    Dirichlet process

    Dirichlet_process

  • Normalizing constant
  • Constant a such that af(x) is a probability measure

    non-negative function must be multiplied so the area under its graph is 1, e.g., to make it a probability density function or a probability mass function. If we

    Normalizing constant

    Normalizing_constant

  • List of probability topics
  • algebra Probability distribution Probability distribution function Probability density function Probability mass function Cumulative distribution function Quantile

    List of probability topics

    List_of_probability_topics

  • Borel distribution
  • Probability distribution for branching processes

    to have a Borel distribution with parameter μ ∈ [0,1] if the probability mass function of X is given by P μ ( n ) = Pr ( X = n ) = e − μ n ( μ n ) n

    Borel distribution

    Borel_distribution

  • Mass point
  • Topics referred to by the same term

    Mass point may refer to: Mass point geometry Point mass in physics The values of a probability mass function in probability and statistics This disambiguation

    Mass point

    Mass_point

  • Discrete Fourier transform
  • Function in discrete mathematics

    be considered to represent a discrete probability mass function of n, with an associated probability mass function constructed from the transformed variable

    Discrete Fourier transform

    Discrete Fourier transform

    Discrete_Fourier_transform

  • Generalized linear model
  • Class of statistical models

    }}} and τ {\displaystyle \tau } , whose density functions f (or probability mass function, for the case of a discrete distribution) can be expressed in

    Generalized linear model

    Generalized_linear_model

  • Mean-preserving spread
  • by spreading out one or more portions of A's probability density function or probability mass function while leaving the mean (the expected value) unchanged

    Mean-preserving spread

    Mean-preserving_spread

  • Zipf–Mandelbrot law
  • Discrete probability distribution

    mathematician Benoit Mandelbrot, who subsequently generalized it. The probability mass function is given by f ( k ; N , q , s ) = 1 H N , q , s 1 ( k + q ) s

    Zipf–Mandelbrot law

    Zipf–Mandelbrot_law

  • Displaced Poisson distribution
  • distribution, is a generalization of the Poisson distribution. The probability mass function is P ( X = n ) = { e − λ λ n + r ( n + r ) ! ⋅ 1 I ( r , λ )

    Displaced Poisson distribution

    Displaced Poisson distribution

    Displaced_Poisson_distribution

  • Classical probability density
  • The classical probability density is the probability density function that represents the likelihood of finding a particle in the vicinity of a certain

    Classical probability density

    Classical_probability_density

  • Galton board
  • Device invented by Francis Galton

    k {\displaystyle {n \choose k}p^{k}(1-p)^{n-k}} . This is the probability mass function of a binomial distribution. The number of rows correspond to the

    Galton board

    Galton board

    Galton_board

  • Degenerate distribution
  • Probability distribution

    random variable equal to a with probability 1. This is a special case of a discrete distribution; its probability mass function equals 1 in a and 0 everywhere

    Degenerate distribution

    Degenerate distribution

    Degenerate_distribution

  • Likelihood principle
  • Proposition in statistics

    x~} . The density function may be a density with respect to counting measure, i.e. a probability mass function. Two likelihood functions are equivalent if

    Likelihood principle

    Likelihood_principle

  • Conjugate prior
  • Concept in probability theory

    prior can generally be determined by inspection of the probability density or probability mass function of a distribution. For example, consider a random variable

    Conjugate prior

    Conjugate_prior

  • Categorical distribution
  • Discrete probability distribution

    Bernoulli distribution, which uses {0, 1}. In this case, the probability mass function f is: f ( x = i ∣ p ) = p i , {\displaystyle f(x=i\mid {\boldsymbol

    Categorical distribution

    Categorical_distribution

  • Kernel (statistics)
  • Concept in statistics

    a probability density function (pdf) or probability mass function (pmf) is the form of the pdf or pmf in which any factors that are not functions of

    Kernel (statistics)

    Kernel_(statistics)

  • Neyman Type A distribution
  • Compound Poisson-family discrete probability distribution

    develops, we must bear in mind that the probability mass function is calculated from the probability generating function, and use the property of Stirling Numbers

    Neyman Type A distribution

    Neyman Type A distribution

    Neyman_Type_A_distribution

  • Variance
  • Statistical measure of how far values spread from their average

    generator of random variable X {\displaystyle X} is discrete with probability mass function x 1 ↦ p 1 , x 2 ↦ p 2 , … , x n ↦ p n {\displaystyle x_{1}\mapsto

    Variance

    Variance

    Variance

  • Information theory
  • Scientific study of digital information

    _{p\rightarrow 0^{+}}p\log p=0} for any logarithmic base. Based on the probability mass function of a source, the Shannon entropy H, in units of bits per symbol

    Information theory

    Information_theory

  • Location–scale family
  • Family of probability distributions

    variable X {\displaystyle X} whose probability distribution function belongs to such a family, the distribution function of Y = d a + b X {\displaystyle

    Location–scale family

    Location–scale_family

  • Data processing inequality
  • Concept in information processing

    {\displaystyle X} . Specifically, we have such a Markov chain if the joint probability mass function can be written as p ( x , y , z ) = p ( x ) p ( y | x ) p ( z

    Data processing inequality

    Data_processing_inequality

  • Kronecker delta
  • Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise

    x_{n}\}} , with corresponding probabilities p 1 , ⋯ , p n {\displaystyle p_{1},\cdots ,p_{n}} , then the probability mass function p ( x ) {\displaystyle p(x)}

    Kronecker delta

    Kronecker_delta

  • Initial mass function
  • Empirical function in astronomy

    IMF is often given as a probability density function (PDF) that describes the probability for a star to have a certain mass during its formation. It

    Initial mass function

    Initial mass function

    Initial_mass_function

  • Gini coefficient
  • Measure of inequality of a statistical distribution

    the population Gini coefficient. For a discrete probability distribution with probability mass function f ( y i ) , {\displaystyle f(y_{i}),} i = 1 , …

    Gini coefficient

    Gini coefficient

    Gini_coefficient

  • Central moment
  • Moment of a random variable minus its mean

    expectation operator. For a continuous univariate probability distribution with probability density function f(x), the n-th moment about the mean μ is μ n

    Central moment

    Central_moment

  • Poisson regression
  • Statistical model for count data

    (Y\mid x)=e^{\theta 'x},\,} and thus, the Poisson distribution's probability mass function is given by p ( y ∣ x ; θ ) = λ y y ! e − λ = e y θ ′ x e − e

    Poisson regression

    Poisson_regression

  • Wallenius' noncentral hypergeometric distribution
  • the expression of the probability mass function in the table above. Closed form expressions for the probability mass function exist (Lyons, 1980), but

    Wallenius' noncentral hypergeometric distribution

    Wallenius' noncentral hypergeometric distribution

    Wallenius'_noncentral_hypergeometric_distribution

  • Gaussian function
  • Mathematical function

    controls the width of the "bell". Gaussian functions are often used to represent the probability density function of a normally distributed random variable

    Gaussian function

    Gaussian_function

  • Belief propagation
  • Algorithm for statistical inference on graphical models

    X 1 , … , X n {\displaystyle X_{1},\ldots ,X_{n}} with joint probability mass function p {\displaystyle p} , a common task is to compute the marginal

    Belief propagation

    Belief propagation

    Belief_propagation

  • Radon–Nikodym theorem
  • Expressing a measure as an integral of another

    Radon–Nikodym set Probability density function – the Radon-Nikodym derivative of an absolutely continuous probability distribution Probability mass function – the

    Radon–Nikodym theorem

    Radon–Nikodym_theorem

  • PMF
  • Topics referred to by the same term

    a disease affecting the bone marrow Probability mass function, in statistics, function giving the probability that a variable takes a particular value

    PMF

    PMF

  • Credal set
  • Set of probability measures

    [K(X)]}\sum _{x}f(x)p(x)} where p {\displaystyle p} denotes a probability mass function. It is easy to see that a credal set over a Boolean variable X

    Credal set

    Credal_set

  • Law of large numbers
  • Averages of repeated trials converge to the expected value

    feature of the probability distribution. By applying Borel's law of large numbers, one could easily obtain the probability mass function. For each event

    Law of large numbers

    Law of large numbers

    Law_of_large_numbers

  • Continuity equation
  • Equation describing the transport of some quantity

    (rather than momentum space), that is, a function of position r and time t, Ψ = Ψ(r, t). The probability density function is ρ ( r , t ) = Ψ ∗ ( r , t ) Ψ (

    Continuity equation

    Continuity_equation

  • Random element
  • variable and its distribution can be described by a probability mass function which assigns a probability to each value in the image of X {\displaystyle X}

    Random element

    Random_element

  • Credal network
  • Probabilistic graphical models based on imprecise probability

    imprecise probability. Credal networks can be regarded as an extension of Bayesian networks, where credal sets replace probability mass functions in the

    Credal network

    Credal_network

  • Binomial theorem
  • Algebraic expansion of powers of a binomial

    theorem is closely related to the probability mass function of the negative binomial distribution. The probability of a (countable) collection of independent

    Binomial theorem

    Binomial_theorem

  • Fisher's noncentral hypergeometric distribution
  • probability mass function and random variable generating function. SAS System includes univariate probability mass function and distribution function

    Fisher's noncentral hypergeometric distribution

    Fisher's noncentral hypergeometric distribution

    Fisher's_noncentral_hypergeometric_distribution

  • Skewness
  • Measure of the asymmetry of random variables

    Skewness in probability theory and statistics is a measure of the asymmetry of the probability distribution of a real-valued random variable about its

    Skewness

    Skewness

  • Negative hypergeometric distribution
  • Discrete probability distribution

    {\displaystyle X} follows the negative hypergeometric distribution if its probability mass function (pmf) is given by f ( k ; N , K , r ) ≡ Pr ( X = k ) = ( k + r

    Negative hypergeometric distribution

    Negative hypergeometric distribution

    Negative_hypergeometric_distribution

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  • Moss
  • Surname or Lastname

    English and Welsh

    Moss

    English and Welsh : from the personal name Moss, a Middle English vernacular form of the Biblical name Moses.English and Scottish : topographic name for someone who lived by a peat bog, Middle English, Old English mos, or a habitational name from a place named with this word. (It was not until later that the vocabulary word came to denote the class of plants characteristic of a peat-bog habitat, under the influence of the related Old Norse word mosi.)Americanized form of Moses or some other like-sounding Jewish surname.Irish (Ulster) : part translation of Gaelic Ó Maolmhóna ‘descendant of Maolmhóna’, a personal name composed of the elements maol ‘servant’, ‘tonsured one’, ‘devotee’ + a second element which was assumed to be móin (genitive móna) ‘moorland’, ‘peat bog’.

    Moss

  • Pass
  • Surname or Lastname

    English

    Pass

    English : from a pet form of the medieval personal name Pascal, which was brought to England from France.German : topographic name from Pass ‘pass’, ‘passage’ (from Middle Low German pas ‘pace’, ‘passage way’, ‘water gauge’).Jewish (Ashkenazic) : metonymic occupational name or nickname from Yiddish and Polish pas ‘belt’, ‘girdle’.

    Pass

  • MASA
  • Female

    Japanese

    MASA

    (1-正, 2-雅, 3-昌, 4-真, 5-政, 6-将) Unisex short form of Japanese names beginning with Masa-, MASA means 1) "correct, just," 2) "elegant," 3) "flourishing, prosperous" 4) "genuine, true," 5) "governing, political," 6) "military." Compare with strictly masculine Masa.

    MASA

  • MOSS
  • Male

    English

    MOSS

     English surname transferred to forename use, derived from medieval Jewish Moss (2), MOSS means "drawn out." Compare with another form of Moss.

    MOSS

  • Mays
  • Surname or Lastname

    English

    Mays

    English : patronymic from the personal name May (see May).

    Mays

  • MOSS
  • Male

    Hebrew

    MOSS

     Medieval Jewish form of Hebrew Moshe, MOSS means "drawn out." Compare with another form of Moss.

    MOSS

  • MASA
  • Male

    Hebrew

    MASA

    (מַשָׂא) Variant spelling of Hebrew Massa, MASA means "burden." Compare with another form of Masa.

    MASA

  • MASA
  • Male

    Japanese

    MASA

    (1-正, 2-雅, 3-昌, 4-真, 5-政, 6-将) Unisex short form of Japanese names beginning with Masa-, MASA means 1) "correct, just," 2) "elegant, splendid" 3) "flourishing, prosperous" 4) "genuine, true," 5) "governing, political," 6) "military." Compare with another form of Masa.

    MASA

  • Cass
  • Surname or Lastname

    English

    Cass

    English : from the medieval female personal name Cass, a short form of Cassandra. This was the name (of uncertain, possibly non-Greek, origin) of an ill-fated Trojan prophetess of classical legend, condemned to foretell the future but never be believed; her story was well known and widely popular in medieval England.

    Cass

  • MASSA
  • Male

    Hebrew

    MASSA

    (מַשָׂא) Hebrew name MASSA means "burden." In the bible, this is the name of a son of Ishmael.

    MASSA

  • CASS
  • Female

    English

    CASS

    English short form of Latin Cassandra, CASS means "she who entangles men." 

    CASS

  • Mash
  • Surname or Lastname

    English

    Mash

    English : variant of Marsh.Americanized spelling of German Masch.Jewish (Ashkenazic) : unexplained; possibly an acronymic name.

    Mash

  • MATS
  • Male

    Swedish

    MATS

    Norwegian and Swedish form of Greek Mattathias, MATS means "gift of God."

    MATS

  • Vass
  • Surname or Lastname

    English

    Vass

    English : status name denoting a serf, Middle English, Old French vass(e), from Late Latin vassus, of Celtic origin. Compare Welsh gwas ‘boy’, Gaelic foss ‘servant’.English : variant of Vause.Swedish : variant of Wass.South German : variant of Fass.Hungarian : from vas ‘iron’, hence a metonymic occupational name for a blacksmith, or a nickname for a resilient, tough man.

    Vass

  • Mars
  • Surname or Lastname

    English

    Mars

    English : variant of Marsh.French : habitational name from places so named in Ardèche, Ardennes, Gard, Loire, Nièvre, and Meurthe-et-Moselle, from the Latin personal name Marcius, used adjectivally.French : from the personal name Meard, Mard, Mart, vernacular forms of the saint’s name Médard. Morlet notes that there are a number of places called Saint-Mars, formerly recorded in Latin as Sanctus Medardus.French : from the name of the month, mars ‘ March’, denoting seed sown in March, and hence a metonymic name for an arable grower.French (De Mars) : habitational name from Mars in the Ardennes.Dutch : from a short form of the personal name Marsilius.

    Mars

  • Bass
  • Surname or Lastname

    English

    Bass

    English : from Old French bas(se) ‘low’, ‘short’ (Latin bassus ‘thickset’; see Basso), either a descriptive nickname for a short person or a status name meaning ‘of humble origin’, not necessarily with derogatory connotations.English : in some instances, from Middle English bace ‘bass’ (the fish), hence a nickname for a person supposedly resembling this fish, or a metonymic occupational name for a fish seller or fisherman.Scottish : habitational name from a place in Aberdeenshire, of uncertain origin.Jewish (Ashkenazic) : metonymic occupational name for a maker or player of bass viols, from Polish, Ukrainian, and Yiddish bas ‘bass viol’.German : see Basse.

    Bass

  • Mask
  • Surname or Lastname

    German and Dutch

    Mask

    German and Dutch : from a pet form of the personal name Thomas.English : unexplained.

    Mask

  • Gul-Mast
  • Boy/Male

    Arabic, Muslim, Pashtun

    Gul-Mast

    Gul - Flowers; Mast - Excitement

    Gul-Mast

  • Masse
  • Surname or Lastname

    English

    Masse

    English : variant of Mace 1.French (Picardy) : metonymic occupational name from masse ‘mace’, ‘hammer’.French : habitational name from places called Masse (Allier and Cô-d’Or), or La Masse (Eure, Lot, Puy-de-Dôme, Saône-et-Loire).French (Massé) : habitational name from a place called Massé in Maine-et-Loire, so named from Gallo-Roman Macciacum (from the personal name Maccius + the locative suffix -acum).Dutch : from Middle Dutch masse ‘clog’; ‘cudgel’, perhaps a metonymic occupational name for someone who wielded a club.Dutch : possibly a variant of Maas 1, or a patronymic from Mas.

    Masse

  • MASO
  • Male

    Italian

    MASO

    Short form of Italian Tommaso, MASO means "twin."

    MASO

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Online names & meanings

  • Land
  • Surname or Lastname

    English and German

    Land

    English and German : topographic name from Old English land, Middle High German lant, ‘land’, ‘territory’. This had more specialized senses in the Middle Ages, being used to denote the countryside as opposed to a town or an estate.English : topographic name for someone who lived in a forest glade, Middle English, Old French la(u)nde, or a habitational name from Launde in Leicestershire or Laund in West Yorkshire, which are named with this word.Norwegian : habitational name from any of three farmsteads so named, from Old Norse land ‘land’, ‘territory’ (see 1 above).

  • Harshita
  • Girl/Female

    Indian

    Harshita

    Happy, Full of Joy

  • Shanley
  • Boy/Male

    Irish

    Shanley

    Old hero.

  • Shalott
  • Girl/Female

    Arthurian Legend

    Shalott

    Land of Astolet.

  • ESTACHIO
  • Male

    Italian

    ESTACHIO

    Italian form of Latin Eustachius, ESTACHIO means "fruitful."

  • TUATHAL
  • Male

    Irish

    TUATHAL

    Irish Gaelic name TUATHAL means "ruler of the people."

  • Odakota
  • Boy/Male

    Native American

    Odakota

    Friend.

  • Susann
  • Girl/Female

    American, Australian, Danish

    Susann

    Lily

  • Ogilhinn
  • Boy/Male

    Scottish

    Ogilhinn

    From the high peak.

  • Vaaman
  • Boy/Male

    Hindu, Indian, Malayalam, Marathi, Tamil

    Vaaman

    Lord Vishnu

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Other words and meanings similar to

PROBABILITY MASS-FUNCTION

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  • Amass
  • v. t.

    To collect into a mass or heap; to gather a great quantity of; to accumulate; as, to amass a treasure or a fortune; to amass words or phrases.

  • Massy
  • superl.

    Compacted into, or consisting of, a mass; having bulk and weight ot substance; ponderous; bulky and heavy; weight; heavy; as, a massy shield; a massy rock.

  • Mast
  • v. t.

    To furnish with a mast or masts; to put the masts of in position; as, to mast a ship.

  • Bass
  • n.

    Species of Serranus, the sea bass and rock bass. See Sea bass.

  • Amass
  • n.

    A mass; a heap.

  • Chance
  • n.

    Probability.

  • Probabilist
  • n.

    One who maintains that a man may do that which has a probability of being right, or which is inculcated by teachers of authority, although other opinions may seem to him still more probable.

  • Probabilities
  • pl.

    of Probability

  • Probabilist
  • n.

    One who maintains that certainty is impossible, and that probability alone is to govern our faith and actions.

  • Probabilism
  • n.

    The doctrine of the probabilists.

  • Muss
  • n.

    A state of confusion or disorder; -- prob. variant of mess, but influenced by muss, a scramble.

  • Likeliness
  • n.

    Likelihood; probability.

  • Mass
  • v. i.

    To celebrate Mass.

  • Like
  • superl.

    Having probability; affording probability; probable; likely.

  • Mess
  • n.

    Mass; church service.

  • Resemblance
  • n.

    Probability; verisimilitude.

  • Bass
  • pl.

    of Bass

  • Mass
  • n.

    A medicinal substance made into a cohesive, homogeneous lump, of consistency suitable for making pills; as, blue mass.

  • Probality
  • n.

    Probability.

  • Appearance
  • n.

    Probability; likelihood.