theory and statistics, the negative binomial distribution, also called a Pascal distribution, is a discrete probability distribution that models the number...

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

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

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

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

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...

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

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, ....

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

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

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

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

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

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

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

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

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

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

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

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...

gamma distribution, which results in a marginal negative binomial distribution. This distribution is similar in its shape to the Poisson distribution, but...

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

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

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

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...

distributions comprises 6 families, including Poisson, Gamma, binomial, and negative binomial distributions, while many of the common families studied in probability...

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

unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the tail is on the left side of the distribution, and positive...

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