In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes...

In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number...

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

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

In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome...

are defined on the same probability space, the joint probability distribution is the corresponding probability distribution on all possible pairs of...

In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution...

convolution/sum of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that corresponds...

statisticians. In other sources, "probability distribution function" may be used when the probability distribution is defined as a function over general...

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...

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

In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance...

A prior probability distribution of an uncertain quantity, often simply called the prior, is its assumed probability distribution before some evidence...

In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the...

The posterior probability is a type of conditional probability that results from updating the prior probability with information summarized by the likelihood...

In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution...

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

probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability...

probability and statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution...

Probability distribution fitting or simply distribution fitting is the fitting of a probability distribution to a series of data concerning the repeated...

probability and statistics, Student's t distribution (or simply the t distribution)   t ν   {\displaystyle \ t_{\nu }\ } is a continuous probability distribution...

in distribution tells us about the limit distribution of a sequence of random variables. This is a weaker notion than convergence in probability, which...

probability density function. The probability mass function is often the primary means of defining a discrete probability distribution, and such functions exist...

probability theory and statistics, the geometric distribution is either one of two discrete probability distributions: The probability distribution of...

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...

in distribution, to Zipf's law. A set of numbers is said to satisfy Benford's law if the leading digit d (d ∈ {1, ..., 9}) occurs with probability P (...

In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k {\displaystyle...

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

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

In probability theory and statistics, the Weibull distribution /ˈwaɪbʊl/ is a continuous probability distribution. It models a broad range of random variables...