RecordNumber
469
LC Class
QA
LC Number
295
LC CutterNumber
.M42
LC Date
2011
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
Edition
2nd ed
Publication
New York Springer Science+Business Media, LLC,
Publication Year
c2011
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