Multivariate majorization and rearrangement inequalities with some applications to probability and statistics

Yossef Rinott

doi:10.1007/BF02771774

Multivariate majorization and rearrangement inequalities with some applications to probability and statistics

Yossef Rinott^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Multivariate generalizations of the concept of a Schur convex-function are defined and characterized. These characterizations are shown to be useful in obtaining majorization and rearrangement inequalities. We give simple derivations of known results as well as new ones with applications in probability and statistics.

Original language	English
Pages (from-to)	60-77
Number of pages	18
Journal	Israel Journal of Mathematics
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/BF02771774
State	Published - Mar 1973
Externally published	Yes

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abstract = "Multivariate generalizations of the concept of a Schur convex-function are defined and characterized. These characterizations are shown to be useful in obtaining majorization and rearrangement inequalities. We give simple derivations of known results as well as new ones with applications in probability and statistics.",

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Multivariate majorization and rearrangement inequalities with some applications to probability and statistics

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