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

and statistics, the beta-binomial distribution is a family of discrete probability distributions on a finite support of non-negative integers arising when...

probability theory and statistics, the negative binomial distribution is a discrete probability distribution that models the number of failures in a...

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

probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a...

power law distribution which is a generalization of the Zipf distribution. The beta negative binomial distribution The Boltzmann distribution, a discrete...

distribution Exponential distribution Gamma distribution Hermite distribution Index of dispersion Negative binomial distribution Poisson clumping Poisson point process...

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

Dirichlet negative multinomial distribution is a multivariate distribution on the non-negative integers. It is a multivariate extension of the beta negative binomial...

exponential cutoff in the upper tail. Zeta distribution Scale-free network Beta negative binomial distribution Colin Rose and Murray D. Smith, Mathematical...

Poisson model. The traditional negative binomial regression model is based on the Poisson-gamma mixture distribution. This model is popular because it...

factorial and binomial topics in mathematics. See also binomial (disambiguation). Abel's binomial theorem Alternating factorial Antichain Beta function Bhargava...

of the beta-binomial distribution, as the multinomial and Dirichlet distributions are multivariate versions of the binomial distribution and beta distributions...

Bernoulli distribution is a special case of the binomial distribution where a single trial is conducted (so n would be 1 for such a binomial distribution). It...

this k {\displaystyle k} . The negative hypergeometric distribution is a special case of the beta-binomial distribution with parameters α = r {\displaystyle...

is the incomplete beta function. A Poisson compounded with Log(p)-distributed random variables has a negative binomial distribution. In other words, if...

of a negative binomial distribution with a Poisson distribution. Just as the negative binomial distribution can be viewed as a Poisson distribution where...

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

Gaussian distributions are used as densities π(λ). If we choose the density of the gamma distribution, we get the negative binomial distribution, which...

Hermite distribution Negative binomial distribution Geometric distribution Geometric Poisson distribution Gamma distribution Poisson distribution Zero-inflated...

theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in...

coefficient) Beta distribution, for a single probability (real number between 0 and 1); conjugate to the Bernoulli distribution and binomial distribution Gamma...

needed] In the case of a binomial outcome (flipping a coin), the binomial distribution may be approximated by a normal distribution (for sufficiently large...

mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is...

noncentral hypergeometric distribution The beta-binomial distribution is a conjugate prior for the hypergeometric distribution. The following table describes...

particles with negative energy. From elementary combinatorics, the total number of microstates with this amount of energy is a binomial coefficient: Ω...

In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts...

statistics, binomial regression is a regression analysis technique in which the response (often referred to as Y) has a binomial distribution: it is the...

Beta (finance) Beta-binomial distribution Beta-binomial model Beta distribution Beta function – for incomplete beta function Beta negative binomial distribution...

exponential family; see Exponential family: Conjugate distributions. Beta-binomial distribution Denoted by the same symbols as the prior hyperparameters...