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

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

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

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

successes is known. This distribution arises when there is no replacement. The negative hypergeometric distribution, a distribution which describes the number...

special case of the negative binomial distribution Related to sampling schemes over a finite population: Hypergeometric distribution, for the number of...

In probability theory, a beta negative binomial distribution is the probability distribution of a discrete random variable  X {\displaystyle X} equal to...

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

probability distribution for the Bernoulli, binomial, negative binomial, and geometric distributions. The formulation of the beta distribution discussed...

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

resulting distribution is a hypergeometric distribution, 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...

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

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

number Gamma distribution Gamma function Gaussian binomial coefficient Gould's sequence Hyperfactorial Hypergeometric distribution Hypergeometric function...

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

statistics, the chi distribution is a continuous probability distribution over the non-negative real line. It is the distribution of the positive square...

Confluent hypergeometric functions of the first kind. The conventional Hermite polynomials may also be expressed in terms of confluent hypergeometric functions...

relation for values in the probability mass function of the hypergeometric distribution (which yields the linear-divided-by-quadratic structure). In...

{1}{(1-t)^{\alpha +1}}}e^{-tx/(1-t)}.} Laguerre functions are defined by confluent hypergeometric functions and Kummer's transformation as L n ( α ) ( x ) := ( n + α...

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

the Gamma distribution as our prior distribution over the rate of the Poisson distributions, then the posterior predictive is the negative binomial distribution...

statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...

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

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}...

priors. A binomial distribution with parameters n = 1 and p is a Bernoulli distribution with parameter p. A negative binomial distribution with parameters...

parameter": see noncentral hypergeometric distributions, for example. The noncentrality parameter of the t-distribution may be negative or positive while the...

characteristic function of the Dirichlet distribution is a confluent form of the Lauricella hypergeometric series. It is given by Phillips as C F ( s...

{\displaystyle _{2}F_{1}} is the hypergeometric function. If the payoff of a portfolio X {\displaystyle X} follows lognormal distribution, i.e. the random variable...

Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative integers. It is also...