same probability space, the joint probability distribution is the corresponding probability distribution on all possible pairs of outputs. The joint distribution...
19 KB (3,103 words) - 22:00, 19 May 2024
In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes...
47 KB (6,403 words) - 14:52, 16 August 2024
In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the...
15 KB (1,986 words) - 20:55, 30 October 2023
event. Given two jointly distributed random variables X {\displaystyle X} and Y {\displaystyle Y} , the conditional probability distribution of Y {\displaystyle...
13 KB (2,144 words) - 09:00, 3 May 2024
x1, ..., Xn ≤ xn) is the cumulative distribution function of the vector (X1, ..., Xn), then the joint probability density function can be computed as...
30 KB (4,937 words) - 11:29, 22 August 2024
Many probability distributions that are important in theory or applications have been given specific names. The Bernoulli distribution, which takes value...
22 KB (2,609 words) - 12:49, 10 February 2024
In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution...
26 KB (4,117 words) - 09:12, 5 August 2024
probability and statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution...
19 KB (2,698 words) - 11:45, 26 July 2024
probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability...
9 KB (609 words) - 15:55, 22 March 2024
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes...
51 KB (7,514 words) - 12:23, 19 August 2024