Author :
Marshall, Albert W
Title :
Inequalities theory of majorization and its applications
Author Statement :
Albert W. Marshall, Ingram Olkin and Barry C. Arnold. Theory of majorization and its applications
Publication :
New York Springer Science+Business Media, LLC,
Collation :
xxvii, 909 p. ill.
Series :
Springer series in statistics
Notes :
Includes bibliographical references (p. 813-878) and indexes. , Introduction -- Doubly stochastic matrices -- Schur-convex functions -- Equivalent conditions for majorization -- Preservation and generation of majorization -- Rearrangements and majorization -- Combinatorial analysis -- Geometric inequalities -- Matrix theory -- Numerical analysis -- Stochastic majorizations -- Probabilistic, statistical, and other applications -- Additional statistical applications -- Orderings extending majorization -- Multivariate majorization -- Convex functions and some classical inequalities -- Stochastic ordering -- Total positivity -- Matrix factorizations, compounds, direct products, and M-matrices -- Extremal representations of matrix functions
Subject :
Inequalities (Mathematics)
ADDED ENTRIES :
AU Olkin, Ingram , AU Arnold, Barry C , SE Springer series in statistics , TI
