: Mathematics: stochastic matrix

algebra > linear algebra > matrix > square matrix > stochastic matrix

probability theory > stochastic process > Markov process > stochastic matrix

stochastic matrix

In mathematics, a stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability. It is also called a probability matrix, transition matrix, substitution matrix, or Markov matrix. The stochastic matrix was first developed by Andrey Markov at the beginning of the 20th century, and has found use throughout a wide variety of scientific fields, including probability theory, statistics, mathematical finance and linear algebra, as well as computer science and population genetics.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Stochastic_matrix)

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