In probability theory and statistics, there are several relationships among probability distributions. These relations can be categorized in the following...

Many probability distributions that are important in theory or applications have been given specific names. The Bernoulli distribution, which takes value...

exponential distribution is not the same as the class of exponential families of distributions. This is a large class of probability distributions that includes...

convolution of their individual distributions. The term is motivated by the fact that the probability mass function or probability density function of a sum...

;\beta )=(n+1)B(k;n;p)} Beta distributions also provide a family of prior probability distributions for binomial distributions in Bayesian inference: P (...

In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a...

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1)...

ontology of probability distributions. ProbOnto 2.5 (released on January 16, 2017) contains over 150 uni- and multivariate distributions and alternative...

Stochastic process Relationships among probability distributions Blitzstein, Joe; Hwang, Jessica (2014). Introduction to Probability. CRC Press. ISBN 9781466575592...

variables with zero mean. Two other distributions often used in test-statistics are also ratio distributions: the t-distribution arises from a Gaussian random...

multivariate probability distributions parameterized by a vector α of positive reals. It is a multivariate generalization of the beta distribution, hence its...

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

theory) Reification (statistics) Rejection sampling Relationships among probability distributions Relative change and difference Relative efficiency –...

Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, is a power-law probability distribution that is...

entropy probability distribution has entropy that is at least as great as that of all other members of a specified class of probability distributions. According...

half-normal distributions does. Neither the right-truncated normal distribution nor the ratio distribution of two right-truncated normal distributions are well...

a Boltzmann distribution (also called Gibbs distribution) is a probability distribution or probability measure that gives the probability that a system...

{\text{W}}_{1}(s^{2},k)} . The chi-squared distribution is one of the most widely used probability distributions in inferential statistics, notably in hypothesis...

In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions...

In probability theory, integral probability metrics are types of distance functions between probability distributions, defined by how well a class of functions...

distribution in an exponential family, a large class of probability distributions that includes the normal, binomial, Poisson and gamma distributions...

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

occupancy distributions. Hui and McGeoch (2007) further show that the self-similarity in species distributions breaks down according to a power relationship with...

interpreted as an attempt to perform inverse probability without calling on prior probability distributions. Fiducial inference quickly attracted controversy...

space of probability distributions. More concretely, if { P 1 , P 2 , … } {\displaystyle \{P_{1},P_{2},\ldots \}} is a sequence of distributions such that...

mechanics), the Maxwell–Boltzmann distribution, or Maxwell(ian) distribution, is a particular probability distribution named after James Clerk Maxwell and...

Samuel; Balakrishnan, N. (1994). Continuous univariate distributions. Volume 1. Wiley Series in Probability and Mathematical Statistics (Second edition of 1970...

the probability mass function may take the same maximum value at several points x1, x2, etc. The most extreme case occurs in uniform distributions, where...

particular parametric family of probability distributions. These include, among others: Methods which are distribution-free, which do not rely on assumptions...

a graphical tool for labeling constraints in high-dimensional probability distributions. A regular vine is a special case for which all constraints are...