stochastic matrix

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

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  • Stochastic matrix — For a matrix whose elements are stochastic, see Random matrix In mathematics, a stochastic matrix (also termed probability matrix, transition matrix, substitution matrix, or Markov matrix) is a matrix used to describe the transitions of a Markov… …   Wikipedia

  • stochastic matrix — Math. a square matrix with positive entries totaling 1 in each row. * * * …   Universalium

  • stochastic matrix — Math. a square matrix with positive entries totaling 1 in each row …   Useful english dictionary

  • Doubly stochastic matrix — In mathematics, especially in probability and combinatorics, a doubly stochastic matrix (also called bistochastic), is a square matrix of nonnegative real numbers, each of whose rows and columns sums to 1. Thus, a doubly stochastic matrix is both …   Wikipedia

  • right stochastic matrix — adjective a square matrix whose rows consist of nonnegative real numbers, with each row summing to . Used to describe the transitions of a Markov chain; its element in the th row and th column describes the probability of moving from state to… …   Wiktionary

  • Matrix theory — is a branch of mathematics which focuses on the study of matrices. Initially a sub branch of linear algebra, it has grown to cover subjects related to graph theory, algebra, combinatorics, and statistics as well.HistoryThe term matrix was first… …   Wikipedia

  • Stochastic — (from the Greek Στόχος for aim or guess ) means random.A stochastic process is one whose behavior is non deterministic in that a state s next state is determined both by the process s predictable actions and by a random element. Stochastic crafts …   Wikipedia

  • Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia

  • Stochastic control — is a subfield of control theory which deals with the existence of uncertainty in the data. The designer assumes, in a Bayesian probability driven fashion, that a random noise with known probability distribution affects the state evolution and the …   Wikipedia

  • Stochastic processes and boundary value problems — In mathematics, some boundary value problems can be solved using the methods of stochastic analysis. Perhaps the most celebrated example is Shizuo Kakutani s 1944 solution of the Dirichlet problem for the Laplace operator using Brownian motion.… …   Wikipedia

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