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Poisson process
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Poisson process — A Poisson process, named after the French mathematician Siméon Denis Poisson (1781 ndash; 1840), is the stochastic process in which events occur continuously and independently of one another (the word event used here is not an instance of the… … Wikipedia
Non-homogeneous Poisson process — In probability theory, a non homogeneous Poisson process is a Poisson process with rate parameter λ(t) such that the rate parameter of the process is a function of time.[1] Non homogeneous Poisson process have been shown to describe numerous… … 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
Poisson (disambiguation) — Poisson (meaning fish in French) may refer to:* Siméon Denis Poisson (1781 1840), French mathematician, geometer and physicist, after whom a number of mathematical concepts and physical phenomena are named, including: ** Poisson distribution, a… … Wikipedia
Poisson sampling — In the theory of finite population sampling, Poisson sampling is a sampling process where each element of the population that is sampled is subjected to an independent Bernoulli trial which determines whether the element becomes part of the… … Wikipedia
Poisson regression — In statistics, Poisson regression is a form of regression analysis used to model count data and contingency tables. Poisson regression assumes the response variable Y has a Poisson distribution, and assumes the logarithm of its expected value can … Wikipedia
Poisson random measure — Let (E, mathcal A, mu) be some measurable space with sigma finite measure mu. The Poisson random measure with intensity measure mu is a family of random variables {N A} {Ainmathcal{A defined on some probability space (Omega, mathcal F, mathrm{P}) … Wikipedia
Point process — In statistics and probability theory, a point process is a type of random process for which any one realisation consists of a set of isolated points either in time or geographical space, or in even more general spaces. For example, the occurrence … Wikipedia
Cox process — A Cox process (named after the statistician Sir David Cox), also known as a doubly stochastic Poisson process or mixed Poisson process, is a stochastic process which is a generalization of a Poisson process. In the case of Cox processes, the time … Wikipedia
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
