Multivariate Random Variable - Probability Distribution

Probability Distribution

Every random vector gives rise to a probability measure on Rn with the Borel algebra as the underlying sigma-algebra. This measure is also known as the joint probability distribution, the joint distribution, or the multivariate distribution of the random vector.

The distributions of each of the component random variables Xi are called marginal distributions. The conditional probability distribution of Xi given Xj is the probability distribution of Xi when Xj is known to be a particular value.

Read more about this topic:  Multivariate Random Variable

Famous quotes containing the words probability and/or distribution:

    Legends of prediction are common throughout the whole Household of Man. Gods speak, spirits speak, computers speak. Oracular ambiguity or statistical probability provides loopholes, and discrepancies are expunged by Faith.
    Ursula K. Le Guin (b. 1929)

    Classical and romantic: private language of a family quarrel, a dead dispute over the distribution of emphasis between man and nature.
    Cyril Connolly (1903–1974)