102068

,

theory of majorization and its applications

Albert W. Marshall, Ingram Olkin and Barry C. Arnold

2nd ed.

Springer Science+Business Media, LLC,

c2011

xxvii, 909 p. : ill. ; 24 cm.

Springer series in statistics

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.

AU Olkin, Ingram , AU Arnold, Barry C

512.9

.7

9780387400877 ,