In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws, without replacement, from a finite population of size that contains exactly objects with that feature, wherein each draw is either a success or a failure. In contrast, the binomial distribution describes the probability of successes in draws with replacement.
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In probability theory and statistics, the hypergeometricdistribution is a discrete probability distribution that describes the probability of k {\displaystyle...
In probability theory and statistics, the negative hypergeometricdistribution describes probabilities for when sampling from a finite population without...
In statistics, the hypergeometricdistribution is the discrete probability distribution generated by picking colored balls at random from an urn without...
univariate probability distributions include the binomial distribution, the hypergeometricdistribution, and the normal distribution. A commonly encountered...
resulting distribution is a hypergeometricdistribution, not a binomial one. However, for N much larger than n, the binomial distribution remains a good...
mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other...
understood to be zero if r > n. If a random variable X has a hypergeometricdistribution with population size N, number of success states K ∈ {0,...,N}...
casino roulette, or the first card of a well-shuffled deck. The hypergeometricdistribution, which describes the number of successes in the first m of a...
geometric distribution. Hypergeometricdistribution Coupon collector's problem Compound Poisson distribution Negative binomial distribution A modern introduction...
theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...
multinomial distribution, the negative multinomial distribution, the multivariate hypergeometricdistribution, and the elliptical distribution. Bayesian...
"Moment Recurrence Relations for Binomial, Poisson and Hypergeometric Frequency Distributions" (PDF). Annals of Mathematical Statistics. 8 (2): 103–111...
beta distribution Noncentral chi distribution Noncentral chi-squared distribution Noncentral F-distribution Noncentral hypergeometricdistributions Noncentral...
without replacement, so the correct distribution is the multivariate hypergeometricdistribution, but the distributions converge as the population grows...
that are picked on each ticket. Keno probabilities come from a hypergeometricdistribution. For Keno, one calculates the probability of hitting exactly...
of experimental data." Hypergeometricdistribution Permutation test Random assignment Randomization test Binomial Distribution Fisher 1971, II. The Principles...
a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential...
statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...
multivariate hypergeometricdistribution: the balls are not returned to the urn once extracted, but with balls of more than two colors. geometric distribution: number...
function. The characteristic function of the beta distribution is Kummer's confluent hypergeometric function (of the first kind): φ X ( α ; β ; t ) =...
prime Gamma distribution Gamma function Gaussian binomial coefficient Gould's sequence Hyperfactorial HypergeometricdistributionHypergeometric function...
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