In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k {\displaystyle...

In probability theory and statistics, the negative hypergeometric distribution describes probabilities for when sampling from a finite population without...

and statistics, Fisher's noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where sampling probabilities are modified...

casino roulette, or the first card of a well-shuffled deck. The hypergeometric distribution, which describes the number of successes in the first m of a...

Wallenius' noncentral hypergeometric distribution (named after Kenneth Ted Wallenius) is a generalization of the hypergeometric distribution where items are...

univariate probability distributions include the binomial distribution, the hypergeometric distribution, and the normal distribution. A commonly encountered...

known as the negative hypergeometric distribution. The Beta distribution is a conjugate distribution of the binomial distribution. This fact leads to an...

understood to be zero if r > n. If a random variable X has a hypergeometric distribution with population size N, number of success states K ∈ {0,...,N}...

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...

resulting distribution is a hypergeometric distribution, not a binomial one. However, for N much larger than n, the binomial distribution remains a good...

In statistics, the hypergeometric distribution is the discrete probability distribution generated by picking colored balls at random from an urn without...

multinomial distribution, the negative multinomial distribution, the multivariate hypergeometric distribution, and the elliptical distribution. Bayesian...

that are picked on each ticket. Keno probabilities come from a hypergeometric distribution. For Keno, one calculates the probability of hitting exactly...

spreading COVID-19. Hypergeometric distribution Coupon collector's problem Compound Poisson distribution Negative binomial distribution Johnson, Norman L...

"Moment Recurrence Relations for Binomial, Poisson and Hypergeometric Frequency Distributions" (PDF). Annals of Mathematical Statistics. 8 (2): 103–111...

draws before the first successful (correctly colored) draw. hypergeometric distribution: the balls are not returned to the urn once extracted. Hence...

the parameter". Fisher's noncentral hypergeometric distribution, a generalization of the hypergeometric distribution, where sampling probabilities are modified...

Fisher, this leads under a null hypothesis of independence to a hypergeometric distribution of the numbers in the cells of the table. This setting is however...

a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential...

"finite population corrections" (which can be derived from the hypergeometric distribution). As a rough rule of thumb, if the sampling fraction is below...

the hypergeometric distribution, Bose–Einstein statistics and its limiting forms, the compound of the binomial distribution with the beta distribution, and...

exponential distribution is the continuous analogue of the geometric distribution, the hyperexponential distribution is not analogous to the hypergeometric distribution...

theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...

where U(a, b, z) is the confluent hypergeometric function of the second kind. In instances where the F-distribution is used, for example in the analysis...

without replacement, so the correct distribution is the multivariate hypergeometric distribution, but the distributions converge as the population grows...

the data come from double-binomial distribution, the conditioning (that leads to using the hypergeometric distribution for calculating the Fisher's exact...

noncentral hypergeometric distribution Fisher's z-distribution Fisher's fiducial distribution Fisher–Bingham distribution F-distribution, also called...

Negative Binomial Distribution". Wroughton, Jacqueline. "Distinguishing Between Binomial, Hypergeometric and Negative Binomial Distributions" (PDF). Hilbe...

distribution Hypergeometric distribution Zeta distribution Uniform distribution (continuous) Normal distribution Gamma distribution Exponential distribution Weibull...

beta distribution Noncentral chi distribution Noncentral chi-squared distribution Noncentral F-distribution Noncentral hypergeometric distributions Noncentral...