Poisson binomial distribution
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Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… … 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
Binomial probability — typically deals with the probability of several successive decisions, each of which has two possible outcomes. Definition The probability of an event can be expressed as a binomial probability if its outcomes can be broken down into two… … Wikipedia
Poisson distribution — [pwä sōn′, pwäsōn′] n. [after S. D. Poisson (1781 1840), Fr mathematician] Statistics a frequency distribution that may be regarded as an approximation of the binomial distribution when the number of events becomes large and the probability of… … English World dictionary
Poisson distribution — /pwah sohn /; Fr. /pwann sawonn /, Statistics. a limiting form of the binomial probability distribution for small values of the probability of success and for large numbers of trials: particularly useful in industrial quality control work and in… … Universalium
Binomial proportion confidence interval — In statistics, a binomial proportion confidence interval is a confidence interval for a proportion in a statistical population. It uses the proportion estimated in a statistical sample and allows for sampling error. There are several formulas for … Wikipedia
Poisson, Siméon-Denis — ▪ French mathematician born June 21, 1781, Pithiviers, France died April 25, 1840, Sceaux French mathematician known for his work on definite integrals, electromagnetic theory, and probability (probability theory). Poisson s family had… … Universalium
Poisson , Siméon-Denis — (1781–1840) French mathematician and mathematical physicist Poisson, born the son of a local government administrator at Pithiviers in France, studied at the Ecole Polytechnique, where his teachers included Pierre Simon Laplace and Joseph… … Scientists
Poisson limit theorem — The Poisson theorem gives a Poisson approximation to the binomial distribution, under certain conditions. [Papoulis, Pillai, Probability, Random Variables, and Stochastic Processes , 4th Edition] The theorem If:n ightarrow infty, p ightarrow 0,… … Wikipedia
Poisson distribution — noun Etymology: Siméon D. Poisson died 1840 French mathematician Date: 1922 a probability density function that is often used as a mathematical model of the number of outcomes obtained in a suitable interval of time and space, that has its mean… … New Collegiate Dictionary
Poisson distribution — A probability distribution applied in studies of rare events, such as earthquakes, or when the probability of an event taking place is small. It approximates to the binomial distribution , in certain cases, but is otherwise highly skewed … Dictionary of sociology
