probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials...

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

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

a Poisson random variable; the distribution of k is a Poisson distribution. The Poisson distribution is also the limit of a binomial distribution, for...

mean made by the Poisson model. The traditional negative binomial regression model is based on the Poisson-gamma mixture distribution. This model is popular...

In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random...

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

other distributions, like the normal, binomial, gamma, and Poisson distributions. The probability density function (pdf) of an exponential distribution is...

to this distribution are a number of other distributions: the displaced Poisson, the hyper-Poisson, the general Poisson binomial and the Poisson type distributions...

and statistics, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a discrete probability distribution named after Richard W. Conway, William...

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

distributions to possess this property and include the Poisson distribution, negative binomial distribution, and binomial distribution. The Poisson random...

mixed Poisson distribution is a univariate discrete probability distribution in stochastics. It results from assuming that the conditional distribution of...

to the way that the Conway–Maxwell–Poisson distribution generalises the Poisson distribution. The CMB distribution can be used to model both positive...

particular Poisson distribution is "Dobinski's formula". It can be shown that a polynomial sequence { pn(x) : n = 0, 1, 2, … } is of binomial type if and...

rare events or Poisson limit theorem states that the Poisson distribution may be used as an approximation to the binomial distribution, under certain...

probability distributions used in statistical modeling include the Poisson distribution, the Bernoulli distribution, the binomial distribution, the geometric...

because a mixture of Poisson distributions with gamma-distributed rates has a known closed form distribution, called negative binomial. In wireless communication...

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

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

data, a Poisson mixture model like the negative binomial distribution can be proposed instead, in which the mean of the Poisson distribution can itself...

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

D = { D : D    is a Poisson binomial distribution } {\displaystyle \textstyle PBD=\{D:D~{\text{ is a Poisson binomial distribution}}\}} . The first of...

negative binomial distribution, with r = 1 {\displaystyle r=1} . The geometric distribution is a special case of discrete compound Poisson distribution.: 606 ...

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

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

formulas for a binomial confidence interval, but all of them rely on the assumption of a binomial distribution. In general, a binomial distribution applies when...

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

Bernoulli sampling Bernoulli distribution Binomial distribution Binomial coefficient Binomial proportion confidence interval Poisson sampling Sampling design...

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