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In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random variables, where the number of terms to be added is itself a Poisson-distributed variable. The result can be either a continuous or a discrete distribution.

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rdfs:label	Zusammengesetzte Poisson-Verteilung (de) Compound Poisson distribution (en) Distribuzione composta di Poisson (it) 复合泊松分布 (zh)
rdfs:comment	In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random variables, where the number of terms to be added is itself a Poisson-distributed variable. The result can be either a continuous or a discrete distribution. (en) Die zusammengesetzte Poisson-Verteilung ist eine Verallgemeinerung der Poisson-Verteilung und spielt eine wichtige Rolle bei Poisson-Prozessen und der Theorie der unendlichen Teilbarkeit. Im Gegensatz zu vielen anderen Verteilungen ist bei der zusammengesetzten Poisson-Verteilung nicht a priori festgelegt, ob sie stetig oder diskret ist. Sie sollte nicht mit der gemischten Poisson-Verteilung verwechselt werden. (de) 在概率论中，复合泊松分布是指一些独立同分布的随机变量的和的概率分布，而这些随机变量的个数服从泊松分布。在最简单的情形下，复合泊松分布可以是连续分布或者离散分布。 (zh) Nell'ambito della teoria delle variabili casualicon distribuzione composta di Poissonsi intende la somma di un numero casuale poissoniano di variabili casuale identiche e indipendenti.In particolare si pone dove N è una variabile casuale poissoniana con valore atteso λ, e sono variabili casuali indipendenti identicamente distribuitee indipendenti da N. Allora la somma è una distribuzione di Poisson composta(dove se N = 0, allora Y è 0.) * valore atteso = * varianza = * coefficiente di asimmetria = (it)
dcterms:subject	Poisson distribution Compound probability distributions Discrete distributions Infinitely divisible probability distributions
Wikipage page ID	949562 (xsd:integer)
Wikipage revision ID	1100012179 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability distribution Poisson distribution Compound probability distributions Variance Infinite divisibility (probability) Insurance Discrete distributions Infinitely divisible probability distributions Geometric Poisson distribution Geometric distribution Zero-inflated model Gamma distribution Moment (mathematics) Compound Poisson process Probability-generating function CT scan Law of total cumulance Law of total expectation Law of total variance Actuarial science Cumulant Expected value Exponential distribution Probability theory Random variable Characteristic function (probability theory) Survival analysis Hermite distribution Bulk queue Poisson distribution Negative binomial distribution Tweedie distribution Exponential dispersion model Luria–Delbrück experiment Stochastic process Discrete distribution Independent identically-distributed random variables Poisson process Continuous distribution Probability generating function Cumulant generating function
sameAs	Compound Poisson distribution Compound Poisson distribution Compound Poisson distribution Compound Poisson distribution Compound Poisson distribution Compound Poisson distribution Compound Poisson distribution Compound Poisson distribution
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has abstract	In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random variables, where the number of terms to be added is itself a Poisson-distributed variable. The result can be either a continuous or a discrete distribution. (en) Die zusammengesetzte Poisson-Verteilung ist eine Verallgemeinerung der Poisson-Verteilung und spielt eine wichtige Rolle bei Poisson-Prozessen und der Theorie der unendlichen Teilbarkeit. Im Gegensatz zu vielen anderen Verteilungen ist bei der zusammengesetzten Poisson-Verteilung nicht a priori festgelegt, ob sie stetig oder diskret ist. Sie sollte nicht mit der gemischten Poisson-Verteilung verwechselt werden. (de) Nell'ambito della teoria delle variabili casualicon distribuzione composta di Poissonsi intende la somma di un numero casuale poissoniano di variabili casuale identiche e indipendenti.In particolare si pone dove N è una variabile casuale poissoniana con valore atteso λ, e sono variabili casuali indipendenti identicamente distribuitee indipendenti da N. Allora la somma è una distribuzione di Poisson composta(dove se N = 0, allora Y è 0.) Se le n variabili casuali sono identicamente distribuite come un'arbitraria variabile casuale X, con valore atteso , secondo momento e terzo momento si ottengono i seguenti parametri * valore atteso = * varianza = * coefficiente di asimmetria = (it) 在概率论中，复合泊松分布是指一些独立同分布的随机变量的和的概率分布，而这些随机变量的个数服从泊松分布。在最简单的情形下，复合泊松分布可以是连续分布或者离散分布。 (zh)
gold:hypernym	Distribution
prov:wasDerivedFrom	wikipedia-en:Compound_Poisson_distribution?oldid=1100012179&ns=0
page length (characters) of wiki page	15557 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Compound_Poisson_distribution
is Link from a Wikipage to another Wikipage of	Infinite divisibility (probability) List of probability distributions Geometric Poisson distribution Geometric distribution Zero-inflated model Mixed Poisson distribution Compound Poisson process

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