compound Poisson distribution

compound Poisson distribution
обобщенное/сложное распределение Пуассона

English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. . 1994.

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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

  • 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

  • Conway–Maxwell–Poisson distribution — Conway–Maxwell–Poisson parameters: support: pmf: cdf …   Wikipedia

  • 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

  • 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

  • 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

  • Logarithmic distribution — Probability distribution name =Logarithmic type =mass pdf cdf parameters =0 < p < 1! support =k in {1,2,3,dots}! pdf =frac{ 1}{ln(1 p)} ; frac{;p^k}{k}! cdf =1 + frac{Beta p(k+1,0)}{ln(1 p)}! mean =frac{ 1}{ln(1 p)} ; frac{p}{1 p}! median = mode …   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

  • 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

  • Dirichlet distribution — Several images of the probability density of the Dirichlet distribution when K=3 for various parameter vectors α. Clockwise from top left: α=(6, 2, 2), (3, 7, 5), (6, 2, 6), (2, 3, 4). In probability and… …   Wikipedia


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