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单词 Stochastic Matrix
释义

Stochastic Matrix

A Stochastic matrix is the transition matrix for a finite Markov Chain, also called a Markov Matrix. Elements of the matrix must be Real Numbers in the Closed Interval [0, 1].


A completely independent type of stochastic matrix is defined as a Square Matrix with entries in a Field suchthat the sum of elements in each column equals 1. There are two nonsingular StochasticMatrices over (i.e., the integers mod 2),


There are six nonsingular stochastic Matrices over ,


In fact, the set of all nonsingular stochastic matrices over a Field forms a Groupunder Matrix Multiplication. This Group is called the Stochastic Group.

See also Markov Chain, Stochastic Group


References

Poole, D. G. ``The Stochastic Group.'' Amer. Math. Monthly 102, 798-801, 1995.


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