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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In probability theory, a compoundPoissondistribution is the probability distribution of the sum of a number of independent identically-distributed random...
In probability theory and statistics, the Poissondistribution is a discrete probability distribution that expresses the probability of a given number...
probability distribution. To be precise, a compoundPoisson process, parameterised by a rate λ > 0 {\displaystyle \lambda >0} and jump size distribution G, is...
binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distributionPoissondistributionCompoundPoisson distribution...
statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution that results...
a Poissondistribution and the number of objects within a cluster follows a geometric distribution. It is a particular case of the compoundPoisson distribution...
distributions, the purely discrete scaled Poissondistribution, and the class of compoundPoisson–gamma distributions which have positive mass at zero, but...
incomplete beta function. A Poissoncompounded with Log(p)-distributed random variables has a negative binomial distribution. In other words, if N is a...
geometric distribution to the nth success. The discrete compoundPoissondistribution The parabolic fractal distribution The Poissondistribution, which...
negative binomial distribution with parameters r and p. The geometric distribution is a special case of discrete compoundPoissondistribution. If Y1, ..., Yr...
probability, the Neyman Type A distribution is a discrete probability distribution from the family of CompoundPoissondistribution. First of all, to easily...
random points form a Poisson process, then the number of points in a region of finite size is a random variable with a Poissondistribution. The process and...
variable with a gamma distribution, the Delaporte distribution can be viewed as a compounddistribution based on a Poissondistribution, where there are two...
distribution or a Poissondistribution – or for that matter, the β of the gamma distribution itself. The closely related inverse-gamma distribution is...
the maximum likelihood method. Hermite distribution is a special case of discrete compoundPoissondistribution with only two parameters. The same authors...
Compositional data Composite bar chart CompoundPoissondistributionCompoundPoisson process Compound probability distribution Computational formula for the variance...
correspond to the Tweedie compoundPoissondistribution. (The Tweedie distributions represent a family of scale invariant distributions that serve as foci of...
accordance with a variance to mean power law and to obey the Tweedie compoundPoissondistribution.[11] In this model the regional variations in the SNP map would...
our example, if we pick the Gamma distribution as our prior distribution over the rate of the Poissondistributions, then the posterior predictive is...
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]...