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Inequalities: Theory of Majorization and its Applications.
Abstract
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.
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Citations
Cited by
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Metadata
- Authors
- Arnold, B. C., Marshall, A. W., & Olkin, I.
- Venue
- Journal of the American Statistical Association
- Publisher
- JSTOR
- Published
- 1981-06
- Volume
- 76
- Issue
- 374
- Pages
- 492
- ISSN
- 0162-1459 (ISSN-L)
- OpenAlex
- W2006309149
- Cited by
- 4,870
- References
- 0
- FWCI
- 70.39
- Type
- journal article
- Language
- en
- Open access
- closed
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- Arnold, B. C., Marshall, A. W., & Olkin, I. (1981). Inequalities: Theory of Majorization and its Applications. Journal of the American Statistical Association. https://doi.org/10.2307/2287859
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