| dbo: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) |
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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. (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) |
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Zusammengesetzte Poisson-Verteilung (de) Compound Poisson distribution (en) Distribuzione composta di Poisson (it) 复合泊松分布 (zh) |
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