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Compound Poisson distribution information


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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Compound Poisson distribution

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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...

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Poisson distribution

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In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number...

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Mixed Poisson distribution

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confused with compound Poisson distribution or compound Poisson process. A random variable X satisfies the mixed Poisson distribution with density π(λ)...

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Compound Poisson process

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probability distribution. To be precise, a compound Poisson process, parameterised by a rate λ > 0 {\displaystyle \lambda >0} and jump size distribution G, is...

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Negative binomial distribution

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binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distribution Poisson distribution Compound Poisson distribution...

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Compound probability distribution

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statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution that results...

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Geometric Poisson distribution

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a Poisson distribution and the number of objects within a cluster follows a geometric distribution. It is a particular case of the compound Poisson distribution...

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Tweedie distribution

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distributions, the purely discrete scaled Poisson distribution, and the class of compound Poisson–gamma distributions which have positive mass at zero, but...

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Logarithmic distribution

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incomplete beta function. A Poisson compounded with Log(p)-distributed random variables has a negative binomial distribution. In other words, if N is a...

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List of probability distributions

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geometric distribution to the nth success. The discrete compound Poisson distribution The parabolic fractal distribution The Poisson distribution, which...

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Geometric distribution

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negative binomial distribution with parameters r and p. The geometric distribution is a special case of discrete compound Poisson distribution. If Y1, ..., Yr...

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Neyman Type A distribution

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probability, the Neyman Type A distribution is a discrete probability distribution from the family of Compound Poisson distribution. First of all, to easily...

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Poisson point process

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random points form a Poisson process, then the number of points in a region of finite size is a random variable with a Poisson distribution. The process and...

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Delaporte distribution

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variable with a gamma distribution, the Delaporte distribution can be viewed as a compound distribution based on a Poisson distribution, where there are two...

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Gamma distribution

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distribution or a Poisson distribution – or for that matter, the β of the gamma distribution itself. The closely related inverse-gamma distribution is...

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Relationships among probability distributions

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are: normal distributions, Poisson distributions, binomial distributions (with common success probability), negative binomial distributions (with common...

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Hermite distribution

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the maximum likelihood method. Hermite distribution is a special case of discrete compound Poisson distribution with only two parameters. The same authors...

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List of statistics articles

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Compositional data Composite bar chart Compound Poisson distribution Compound Poisson process Compound probability distribution Computational formula for the variance...

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Prime number theorem

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correspond to the Tweedie compound Poisson distribution. (The Tweedie distributions represent a family of scale invariant distributions that serve as foci of...

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Coalescent theory

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accordance with a variance to mean power law and to obey the Tweedie compound Poisson distribution.[11] In this model the regional variations in the SNP map would...

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Conjugate prior

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our example, if we pick the Gamma distribution as our prior distribution over the rate of the Poisson distributions, then the posterior predictive is...

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William Feller

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needed] Feller condition Beta distribution Compound Poisson distribution Gillespie algorithm Kolmogorov equations Poisson point process Stability (probability)...

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Lomax distribution

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by a Poisson Lomax Burst Process", IEEE Communications Letters, 19, 3, 367-370. Van Hauwermeiren M and Vose D (2009). A Compendium of Distributions [ebook]...

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