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...

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

the Poisson. The negative binomial distribution has a variance μ / p {\displaystyle \mu /p} , with the distribution becoming identical to Poisson in the...

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

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

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

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

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

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

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

Conway–Maxwell–binomial (CMB) distribution is a three parameter discrete probability distribution that generalises the binomial distribution in an analogous...

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

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

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

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

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

When K {\displaystyle K} is Poisson, negative binomial, or binomial, it is said to be Poisson-type (PT). The joint distribution of the collection N ( A )...

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

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

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

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

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...

S_{n}=X_{1}+\cdots +X_{n}.} (i.e. S n {\displaystyle S_{n}} follows a Poisson binomial distribution) Then ∑ k = 0 ∞ | Pr ( S n = k ) − λ n k e − λ n k ! | < 2 (...

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

Poisson distribution Poisson binomial distribution Poisson clumping Super-Poissonian distribution Poisson process Compound Poisson process Mixed Poisson process...

are: normal distributions, Poisson distributions, binomial distributions (with common success probability), negative binomial distributions (with common...

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

distributions, the purely discrete scaled Poisson distribution, and the class of compound Poisson–gamma distributions which have positive mass at zero, but...

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