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...

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

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...

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}...

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

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

Hypergeometric may refer to several distinct concepts within mathematics: The hypergeometric function, a solution to the Gaussian hypergeometric differential...

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

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

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...

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

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

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

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

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

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

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

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...

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

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

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

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

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

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...

the confluent hypergeometric function with the Bessel functions. In free probability theory, the role of Wigner's semicircle distribution is analogous...

winning ticket. The generalisation of this formula is called the hypergeometric distribution. This gives the following results: When a 7th number is drawn...

probabilities. The resulting probability distribution is the hypergeometric distribution. That is the probability distribution of the number of red marbles in...

repeated draws of a binomial distribution. In this case, the underlying distribution would be the hypergeometric distribution. The interval boundaries can...