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The Panjer recursion is an algorithm to compute the probability distribution approximation of a compound random variable S = ∑ i = 1 N X i {\displaystyle
Panjer_recursion
Term in probability theory
whose probability mass function satisfies the recurrence formula (the Panjer recursion) p k p k − 1 = a + b k , k = 1 , 2 , 3 , … {\displaystyle {\frac
(a,b,0) class of distributions
(a,b,0)_class_of_distributions
Formula on random variables
Variance Propagation of error Markov chain central limit theorem Panjer recursion Inverse-variance weighting Donsker's theorem Paired difference test
Bienaymé's_identity
Theorem in probability theory
assumptions and with more information about the underlying distributions, Panjer's recursion can be used to calculate the distribution of SN. Let N be an integrable
Wald's_equation
Pairwise comparison Pairwise independence Panel analysis Panel data Panjer recursion – a class of discrete compound distributions Paley–Zygmund inequality
List_of_statistics_articles
Probability distribution
Schmidt when they characterized all distributions for which the extended Panjer recursion works. For the case m = 1, the distribution was already discussed by
Extended negative binomial distribution
Extended_negative_binomial_distribution
method Las Vegas algorithm Metropolis algorithm Monte Carlo method Panjer recursion Probabilistic Turing machine Probabilistic algorithm Probabilistically
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Probability distribution in actuarial science
^{2}+3\alpha \beta ^{3})}{\left(\lambda +\alpha \beta (1+\beta )\right)^{2}}}} Panjer, Harry H. (2006). "Discrete Parametric Distributions". In Teugels, Jozef
Delaporte_distribution
PANJER RECURSION
PANJER RECURSION
Surname or Lastname
English (Midlands)
English (Midlands) : metonymic occupational name for a standard bearer, from Anglo-Norman French banere ‘flag’, ‘ensign’ (see Bannerman).German : occupational name for a standard bearer, Middle High German banier, Middle Low German banner, from French bannière ‘flag’, ‘standard’.
Surname or Lastname
German
German : variant of Panter 1.English : variant of Panter 3.English : possibly a habitational name from a house bearing the sign of a panther. In England this surname is mainly found in Northamptonshire.
Surname or Lastname
English
English : occupational name for a dancer or acrobat, from an agent derivative of Middle English, Old French dance ‘dance’ (see Dance).Translation of German Dänzer or Danser (see Danzer).
Boy/Male
American, Anglo, Australian, British, Chinese, English
Gamekeeper of a Park; Forest Ranger; Keeper of the Forest; Park Keeper
Boy/Male
Hindu, Indian
Life of Happy
Surname or Lastname
English
English : topographic name from Middle English hanger, hangre ‘wood on a steep hillside’, or habitational name from a place named with this word, as for example Hanger in Netley Marsh, Hampshire.
Boy/Male
English American
Keeper of the forest; forest ranger. Famous bearer: actor Parker Stevenson.
Surname or Lastname
English, Dutch, and German
English, Dutch, and German : occupational name for a retail trader, Middle English manger, monger, Middle Dutch manger, menger, Middle High German mangære, mengære (from Late Latin mango ‘salesman’, with the addition of the Germanic agent suffix).Norwegian : habitational name from a farmstead in southwestern Norway named as Mángr in Old Norse, perhaps from már ‘sea gull’ + angr ‘fjord’.
Surname or Lastname
English
English : variant spelling of Painter.
Surname or Lastname
English
English : from Middle English gander, Old English gand(r)a ‘gander’, ‘male goose’, hence a metonymic occupational name for a keeper of geese, or a nickname for someone supposedly resembling a gander in some way.English : variant of Ganter.North German : perhaps a habitational name from Gandern in Brandenburg.North German : nickname for a vain or self-important man from ganter ‘male goose’, ‘gander’.South German and Swiss German : habitational name from a place named with Middle High German gant ‘scree’ (Swiss gand), or topographic name for someone living by an area of scree.
Male
English
English surname transferred to forename use, derived from Latin palma, PALMER means "palm tree." Before it was a surname, Palmer was an old byname for "a pilgrim," someone who had been on a pilgrimage to the Holy Land and brought back a palm branch as proof that they had actually been there.
Surname or Lastname
German
German : variant of Männer (see Maner).English : unexplained. Perhaps a variant of Manners.Finnish : ornamental name from manner ‘continent’. This name occurs throughout Finland, but chiefly in the southwestern part.
Surname or Lastname
English
English : from Middle English, Old French peinto(u)r, oblique case of peintre ‘painter’, hence an occupational name for a painter (normally of colored glass). In the Middle Ages the walls of both great and minor churches were covered with painted decorations, and Reaney and Wilson note that in 1308 Hugh le Peyntour and Peter the Pavier were employed ‘making and painting the pavement’ at St. Stephen’s Chapel, Westminster. The name is widespread in central and southern England.German : topographic name for someone living in a fenced enclosure (see Bainter).
Boy/Male
Shakespearean
Pericles, Prince of Tyre' A Pander.
Surname or Lastname
English
English : probably a variant of Mander.Belcher Manter is recorded in Plymouth, MA, in 1657. John Manter (1658–1744), possibly a son of Belcher, was the founder of a family associated with Martha’s Vineyard.
Surname or Lastname
English
English : occupational name for a maker or seller of cans, from an agent derivative of Old English canne ‘can’.Respelling of Kanner.
Girl/Female
American, Australian, British, Chinese, Christian, English
Park Keeper; Keeper of the Forest; Forest Ranger
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
Surname or Lastname
German
German : habitational name for someone who lived at a house distinguished by the sign of a panther, Middle High German panter (see Panther 1).North German : occupational name for a mortager or pawn broker, from a contracted form of Pfandherr.English (mainly Northamptonshire) and Scottish : occupational name for a servant in charge of the supply of bread and other provisions in a monastery or large household, Middle English pan(e)ter (Old French panetier).
Surname or Lastname
English
English : occupational name for a gamekeeper or warden, from Middle English ranger, an agent derivative of range(n) ‘to arrange or dispose’.German : variant of Rang 2, 3.German : habitational name for someone from any of the places named Rangen, in Alsace, Bavaria, and Hesse.French : from a Germanic personal name formed with rang, rank ‘curved’, ‘bent’; ‘slender’.A person called Ranger from La Rochelle, France, is documented in Quebec City in 1684 with the secondary surname
PANJER RECURSION
PANJER RECURSION
Girl/Female
Indian, Kashmiri
Name of a God
Girl/Female
American, Australian, British, Christian, English, Greek
Follower of Christ; Anointed; Variant of Christian; Christian
Boy/Male
Arabic, Australian
Successful
Female
English
English name derived from the vocabulary word, AMBER means "amber," the gem or color. Actually the word is of Arabic origin, from anbargris (ambergris), which refers to an oily, perfumed substance (used in making perfumes) secreted by the sperm whale.
Boy/Male
Bengali, Hindu, Indian
Small Boy
Boy/Male
Tamil
Runaksh | à®°à¯à®¨à®¾à®•à¯à®·Â
Boy/Male
Hindu, Indian
Lord Shiva
Boy/Male
Latin Greek
Name of a king.
Girl/Female
Muslim
Tranquility. Devout. God-inspired peace of mind.
Boy/Male
Dutch, German, Swedish
Spear
PANJER RECURSION
PANJER RECURSION
PANJER RECURSION
PANJER RECURSION
PANJER RECURSION
v. t.
To gratify inordinately; to indulge to excess; as, to pamper pride; to pamper the imagination.
v. i.
To wander about; to saunter; to talk incoherently.
n.
A keeper of the pantry; a pantler.
n.
A quick succession of slight sounds; as, the patter of rain; the patter of little feet.
n.
See Lanier.
v. t.
To play the pander for.
v. t.
To affect as a canker; to eat away; to corrode; to consume.
v. i.
To act the part of a pander.
n.
The panther, or puma.
n.
Certain degree or measure; as, it is in a manner done already.
n.
A corroding or sloughing ulcer; esp. a spreading gangrenous ulcer or collection of ulcers in or about the mouth; -- called also water canker, canker of the mouth, and noma.
n.
The cant of a class; patois; as, thieves's patter; gypsies' patter.
n.
One who pastes; as, a paster in a government department.
v. i.
To move in a canter.
v. i.
To mutter; to mumble; as, to patter with the lips.
n.
Anger or vexation; rage.
v. t.
To cause, as a horse, to go at a canter; to ride (a horse) at a canter.
n.
Any flag or standard; as, the star-spangled banner.
n.
See Pannier, 3.
n.
Same as Pander.