2104

Marshall, Albert W

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

Olkin, Ingram. , Arnold, Barry C.