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

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

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

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

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

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

Binomial test is an exact test of the statistical significance of deviations from a theoretically expected distribution of observations into two categories...

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

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...

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

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

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...

univariate probability distributions include the binomial distribution, the hypergeometric distribution, and the normal distribution. A commonly encountered...

The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which describes...

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

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, ... is...

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...

generalized from the distribution of the number of people with their birthday on any particular day, which is a Binomial distribution with probability ⁠1/d⁠...

corresponding to a binomial experiment is denoted by B ( n , p ) {\displaystyle B(n,p)} , and is said to have a binomial distribution. The probability of...

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

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

square Binomial distribution List of factorial and binomial topics (which contains a large number of related links) Weisstein, Eric W. "Binomial". MathWorld...

In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses...

exponential distribution as one of its members, but also includes many other distributions, like the normal, binomial, gamma, and Poisson distributions. The...

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

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

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

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

compound distribution. Compounding a binomial distribution with probability of success distributed according to a beta distribution yields a beta-binomial distribution...

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem...