same probability space, the joint probability distribution is the corresponding probability distribution on all possible pairs of outputs. The joint distribution...

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

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

event. Given two jointly distributed random variables X {\displaystyle X} and Y {\displaystyle Y} , the conditional probability distribution of Y {\displaystyle...

x1, ..., Xn ≤ xn) is the cumulative distribution function of the vector (X1, ..., Xn), then the joint probability density function can be computed as...

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 cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution...

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

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

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