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

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

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

statistics the extended negative binomial distribution is a discrete probability distribution extending the negative binomial distribution. It is a truncated...

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 multinomial distribution is a generalization of the negative binomial distribution (NB(x0, p)) to more than two...

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

series is equal to e. The binomial theorem is closely related to the probability mass function of the negative binomial distribution. The probability of a...

of the gamma distribution. The posterior predictive distribution for a single additional observation is a negative binomial distribution,: 53  sometimes...

random variables has a negative binomial distribution. In other words, if N is a random variable with a Poisson distribution, and Xi, i = 1, 2, 3, ....

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

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

Hermite distribution The logarithmic (series) distribution The mixed Poisson distribution The negative binomial distribution or Pascal distribution, a generalization...

Bhargava factorial Binomial coefficient Pascal's triangle Binomial distribution Binomial proportion confidence interval Binomial-QMF (Daubechies wavelet...

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

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

the generalized inverse Gaussian distribution. Among the discrete distributions, the negative binomial distribution is sometimes considered the discrete...

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

binomial distribution, the geometric distribution, the negative binomial distribution and categorical distribution. When a sample (a set of observations)...

sub-Poissonian distribution has a smaller variance. An example of super-Poissonian distribution is negative binomial distribution. The Poisson distribution is a...

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

a geometric distribution with a beta mixing distribution, and models the purchase frequency process as a negative binomial distribution. The concept...

retrieved through the Conway–Maxwell–Poisson distribution. Only the Poisson, binomial and negative binomial distributions satisfy the full form of this relationship...

wherein each draw is either a success or a failure. In contrast, the binomial distribution describes the probability of k {\displaystyle k} successes in n...

statistical analysis, the distribution of the counts is often represented using a Poisson distribution or a negative binomial distribution. Hilbe notes that "Poisson...

Weibull distribution can be compared with other common discrete distributions such as the Poisson, geometric, and negative binomial distributions, each...

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

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

random variable, the Poisson, binomial and negative binomial distributions are commonly used to represent its distribution. Graphical examination of count...

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