Definitions for stochastic matrix
sto·chas·tic matrix

WiktionaryRate this definition:0.0 / 0 votes

1. stochastic matrixnoun

   A matrix having the property that the entries in each column are non-negative, real and sum to 1.

WikipediaRate this definition:0.0 / 0 votes

1. 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.: 9–11  It is also called a probability matrix, transition matrix, substitution matrix, or Markov matrix.: 9–11  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.: 1–8  There are several different definitions and types of stochastic matrices:: 9–11  A right stochastic matrix is a real square matrix, with each row summing to 1. A left stochastic matrix is a real square matrix, with each column summing to 1. A doubly stochastic matrix is a square matrix of nonnegative real numbers with each row and column summing to 1.In the same vein, one may define a stochastic vector (also called probability vector) as a vector whose elements are nonnegative real numbers which sum to 1. Thus, each row of a right stochastic matrix (or column of a left stochastic matrix) is a stochastic vector.: 9–11  A common convention in English language mathematics literature is to use row vectors of probabilities and right stochastic matrices rather than column vectors of probabilities and left stochastic matrices; this article follows that convention.: 1–8  In addition, a substochastic matrix is a real square matrix whose row sums are all ≤ 1. {\displaystyle \leq 1.}

WikidataRate this definition:0.0 / 0 votes

1. Stochastic matrix

   In mathematics, a stochastic matrix is a matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability. It has found use in probability theory, statistics and linear algebra, as well as computer science. There are several different definitions and types of stochastic matrices: In the same vein, one may define stochastic vector as a vector whose elements are nonnegative real numbers which sum to 1. Thus, each row of a right stochastic matrix is a stochastic vector. A common convention in English language mathematics literature is to use row vectors of probabilities and right stochastic matrices rather than column vectors of probabilities and left stochastic matrices; this article follows that convention.

How to pronounce stochastic matrix?

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Numerology

1. Chaldean Numerology

   The numerical value of stochastic matrix in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of stochastic matrix in Pythagorean Numerology is: 4

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Stochastic_Matrix
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Stochastic_Matrix
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=stochastic matrix