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compound exponential distribution

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  • Compound Poisson distribution — In probability theory, a compound Poisson distribution is the probability distribution of the sum of a Poisson distributed number of independent identically distributed random variables. In the simplest cases, the result can be either a… …   Wikipedia

  • Compound probability distribution — In probability theory, a compound probability distribution is the probability distribution that results from assuming that a random variable is distributed according to some parametrized distribution F with an unknown parameter θ that is… …   Wikipedia

  • Exponential distribution — Not to be confused with the exponential families of probability distributions. Exponential Probability density function Cumulative distribution function para …   Wikipedia

  • Exponential family — Not to be confused with the exponential distribution. Natural parameter links here. For the usage of this term in differential geometry, see differential geometry of curves. In probability and statistics, an exponential family is an important… …   Wikipedia

  • Compound Poisson process — A compound Poisson process with rate λ > 0 and jump size distribution G is a continuous time stochastic process given by where, is a Poisson process with rate λ, and are independent and identically distributed random variables, with distri …   Wikipedia

  • Multivariate Pólya distribution — The multivariate Pólya distribution, named after George Pólya, also called the Dirichlet compound multinomial distribution, is a compound probability distribution, where a probability vector p is drawn from a Dirichlet distribution with parameter …   Wikipedia

  • Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… …   Wikipedia

  • Normal distribution — This article is about the univariate normal distribution. For normally distributed vectors, see Multivariate normal distribution. Probability density function The red line is the standard normal distribution Cumulative distribution function …   Wikipedia

  • Natural exponential family — In probability and statistics, the natural exponential family (NEF) is a class of probability distributions that is a special case of an exponential family (EF). Many common distributions are members of a natural exponential family, and the use… …   Wikipedia

  • Chi-squared distribution — This article is about the mathematics of the chi squared distribution. For its uses in statistics, see chi squared test. For the music group, see Chi2 (band). Probability density function Cumulative distribution function …   Wikipedia

  • Maximum entropy probability distribution — In statistics and information theory, a maximum entropy probability distribution is a probability distribution whose entropy is at least as great as that of all other members of a specified class of distributions. According to the principle of… …   Wikipedia

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