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- Stochastic_matrix abstract "For a matrix whose elements are stochastic, see Random matrixIn 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 chain. Each of its entries is a nonnegative real number representing a probability. It has found use in probability theory, statistics, mathematical finance and linear algebra, as well as computer science and population genetics. There are several different definitions and types of stochastic matrices: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 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.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.".
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- Stochastic_matrix wikiPageLength "10169".
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- Stochastic_matrix wikiPageRevisionID "679726482".
- Stochastic_matrix wikiPageWikiLink Brouwer_Fixed_Point_Theorem.
- Stochastic_matrix wikiPageWikiLink Brouwer_fixed-point_theorem.
- Stochastic_matrix wikiPageWikiLink Category:Markov_models.
- Stochastic_matrix wikiPageWikiLink Category:Matrices.
- Stochastic_matrix wikiPageWikiLink Column_vector.
- Stochastic_matrix wikiPageWikiLink Computer_science.
- Stochastic_matrix wikiPageWikiLink Density_matrix.
- Stochastic_matrix wikiPageWikiLink Discrete_phase-type_distribution.
- Stochastic_matrix wikiPageWikiLink Dissipative_dynamical_system.
- Stochastic_matrix wikiPageWikiLink Dissipative_system.
- Stochastic_matrix wikiPageWikiLink Doubly_stochastic_matrix.
- Stochastic_matrix wikiPageWikiLink Eigenvalue.
- Stochastic_matrix wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Stochastic_matrix wikiPageWikiLink Eigenvector.
- Stochastic_matrix wikiPageWikiLink Ergodic_theorem.
- Stochastic_matrix wikiPageWikiLink Ergodic_theory.
- Stochastic_matrix wikiPageWikiLink Euclidean_vector.
- Stochastic_matrix wikiPageWikiLink Finite_set.
- Stochastic_matrix wikiPageWikiLink Identity_matrix.
- Stochastic_matrix wikiPageWikiLink Linear_algebra.
- Stochastic_matrix wikiPageWikiLink Markov_chain.
- Stochastic_matrix wikiPageWikiLink Markov_kernel.
- Stochastic_matrix wikiPageWikiLink Mathematical_finance.
- Stochastic_matrix wikiPageWikiLink Mathematics.
- Stochastic_matrix wikiPageWikiLink Matrix_(mathematics).
- Stochastic_matrix wikiPageWikiLink Matrix_polynomial.
- Stochastic_matrix wikiPageWikiLink Models_of_DNA_evolution.
- Stochastic_matrix wikiPageWikiLink Muirheads_inequality.
- Stochastic_matrix wikiPageWikiLink Nonnegative.
- Stochastic_matrix wikiPageWikiLink Perron–Frobenius_theorem.
- Stochastic_matrix wikiPageWikiLink Population_genetics.
- Stochastic_matrix wikiPageWikiLink Probabilistic_automaton.
- Stochastic_matrix wikiPageWikiLink Probability.
- Stochastic_matrix wikiPageWikiLink Probability_space.
- Stochastic_matrix wikiPageWikiLink Probability_theory.
- Stochastic_matrix wikiPageWikiLink Probability_vector.
- Stochastic_matrix wikiPageWikiLink Random_matrix.
- Stochastic_matrix wikiPageWikiLink Random_variable.
- Stochastic_matrix wikiPageWikiLink Real_number.
- Stochastic_matrix wikiPageWikiLink Row_and_column_vectors.
- Stochastic_matrix wikiPageWikiLink Row_vector.
- Stochastic_matrix wikiPageWikiLink Sign_(mathematics).
- Stochastic_matrix wikiPageWikiLink Stationary_state.
- Stochastic_matrix wikiPageWikiLink Statistics.
- Stochastic_matrix wikiPageWikiLink Transition_probabilities.
- Stochastic_matrix wikiPageWikiLink File:Mousesurvival.jpg.
- Stochastic_matrix wikiPageWikiLinkText "Markov matrix".
- Stochastic_matrix wikiPageWikiLinkText "Regular stochastic matrix".
- Stochastic_matrix wikiPageWikiLinkText "Stochastic matrices".
- Stochastic_matrix wikiPageWikiLinkText "Stochastic matrix".
- Stochastic_matrix wikiPageWikiLinkText "stochastic ''n'' × ''n'' state transition matrix".
- Stochastic_matrix wikiPageWikiLinkText "stochastic matrices".
- Stochastic_matrix wikiPageWikiLinkText "stochastic matrix".
- Stochastic_matrix wikiPageWikiLinkText "stochastic".
- Stochastic_matrix wikiPageWikiLinkText "transition matrix".
- Stochastic_matrix hasPhotoCollection Stochastic_matrix.
- Stochastic_matrix wikiPageUsesTemplate Template:Reflist.
- Stochastic_matrix subject Category:Markov_models.
- Stochastic_matrix subject Category:Matrices.
- Stochastic_matrix hypernym Matrix.
- Stochastic_matrix type AnatomicalStructure.
- Stochastic_matrix type Model.
- Stochastic_matrix type Matrix.
- Stochastic_matrix type Model.
- Stochastic_matrix comment "For a matrix whose elements are stochastic, see Random matrixIn 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 chain. Each of its entries is a nonnegative real number representing a probability. It has found use in probability theory, statistics, mathematical finance and linear algebra, as well as computer science and population genetics.".
- Stochastic_matrix label "Stochastic matrix".
- Stochastic_matrix sameAs Matriu_estocàstica.
- Stochastic_matrix sameAs Übergangsmatrix.
- Stochastic_matrix sameAs Στοχαστικός_πίνακας.
- Stochastic_matrix sameAs Matriz_estocástica.
- Stochastic_matrix sameAs Matrice_stochastique.
- Stochastic_matrix sameAs מטריצה_סטוכסטית.
- Stochastic_matrix sameAs Matrice_stocastica.
- Stochastic_matrix sameAs Stochastische_matrix.
- Stochastic_matrix sameAs Macierz_stochastyczna.
- Stochastic_matrix sameAs m.01ftby.
- Stochastic_matrix sameAs Стохастическая_матрица.
- Stochastic_matrix sameAs Stohastična_matrika.
- Stochastic_matrix sameAs Stokastisk_matris.
- Stochastic_matrix sameAs Стохастична_матриця.
- Stochastic_matrix sameAs Q176583.
- Stochastic_matrix sameAs Q176583.
- Stochastic_matrix sameAs 轉移矩陣.
- Stochastic_matrix wasDerivedFrom Stochastic_matrix?oldid=679726482.
- Stochastic_matrix isPrimaryTopicOf Stochastic_matrix.