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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
Doubly stochastic model — In statistics, a doubly stochastic model is a type of model that can arise in many contexts, but in particular in modelling time series and stochastic processes. The basic idea for a doubly stochastic model is that an observed random variable is… … Wikipedia
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
Muirhead's inequality — In mathematics, Muirhead s inequality, named after Robert Franklin Muirhead, also known as the bunching method, generalizes the inequality of arithmetic and geometric means. Contents 1 Preliminary definitions 1.1 The a mean 1.2 Doubly stochastic… … Wikipedia
Unistochastic matrix — In mathematics, a unistochastic matrix (also called unitary stochastic ) is a doubly stochastic matrix whose entries are the square of the absolute value of some unitary matrix.The detailed definition is as follows. A square matrix B of size n is … Wikipedia
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
Permutation matrix — In mathematics, in matrix theory, a permutation matrix is a square (0,1) matrix that has exactly one entry 1 in each row and each column and 0 s elsewhere. Each such matrix represents a specific permutation of m elements and, when used to… … Wikipedia
Birkhoff polytope — The Birkhoff polytope B n is the convex polytope in R N (where N = n ²) whose points are the doubly stochastic matrices, i.e., the n times; n matrices whose entries are nonnegative real numbers and whose rows and columns each add up to 1.The… … Wikipedia
Orthostochastic matrix — In mathematics, an orthostochastic matrix is a doubly stochastic matrix whose entries are the square of the absolute value of some orthogonal matrix. The detailed definition is as follows. An square matrix B of size n is doubly stochastic (or… … Wikipedia
Cox process — A Cox process (named after the statistician Sir David Cox), also known as a doubly stochastic Poisson process or mixed Poisson process, is a stochastic process which is a generalization of a Poisson process. In the case of Cox processes, the time … Wikipedia
