Results 221 to 230 of about 441 (257)

A note on Slepian’s inequality based on majorization

Statistics & Probability Letters, 2017
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Ding, Ying, Zhang, Xinsheng
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Majorization and the Birthday Inequality

Mathematics Magazine, 1991
(1991). Majorization and the Birthday Inequality. Mathematics Magazine: Vol. 64, No. 3, pp. 183-188.
M. Lawrence Clevenson, William Watkins
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Inequalities for Majorizing Analytic Functions

Journal of Mathematical Sciences, 2006
Summary: For analytic functions satisfying Meyman's majorization conditions, with the use of classical properties of conformal mappings exact inequalities complementing and strengthening the results of Akhiezer and Meyman are derived. As a corollary, for the modulus of the derivative of a rationally-trigonometric function a Bernstein type bound, which ...
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Hoeffding’s Inequality and Multivariate Majorization

1984
Many years ago Hoeffding (1956, Theorem 3) proved the following result: if X1,…, Xn are independent Bernoulli random variables and if $$\psi :\{ 0,...,n\} \to R$$ is (strictly) concave, then $${{\Bbb E}_{\bar p}}\left[ {\psi \left( {\sum\limits_{i = 1}^n {{X_i}} } \right)} \right]\underline { \leqslant \,} {{\Bbb E}_{{p_1},...,{p_n}}}\left[ {
Christian Berg, Jens Peter Reus Christensen, Paul Ressel   +2 more
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The Mathematical Applications of Majorization Inequalities to Quantum Mechanics

2020
We supplement some foundational theorems which connect majorization inequalities with quantum mechanics. To begin, we give the sufficient condition for bi-partite pure states entanglement transformation from the control to the controlled states which are impossible to be transformed even by catalysts.
Mengke Xu, Zhihao Liu, Hanwu Chen, Sihao Zheng   +3 more
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Majorization and Matrix Inequalities

2011
Majorization is an important tool in deriving matrix inequalities of eigenvalues, singular values, and matrix norms. In this chapter we introduce the concept of majorization, present its basic properties, and show a variety of matrix inequalities in majorization.
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Inequalities via Majorization — An Introduction

1983
This paper provides a brief introduction to the theory of majorization and its use in deriving inequalities. Majorization is a preordering of vectors, and inequalities are obtained from the fact that ϕ(x) ≤ ϕ(y) whenever x is majorized by y and ϕ is an order-preserving function.
Albert W. Marshall, Ingram Olkin
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Some Majorization Inequalities in Multivariate Statistical Analysis

SIAM Review, 1988
This paper contains a review of certain majorization inequalities in multivariate statistical analysis. The results apply to a large class of distributions (including the multivariate normal distribution) and have implications in estimation, hypothesis testing, and other related problems in statistics.
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Inequality and Majorization : Robin Hood in Unexpected Places

Calcutta Statistical Association Bulletin, 2011
The Lorenz order and its mathematical cousin majorization, best understood as natural consequences of accepting as axiomatic the belief that Robin Hood's activities in robbing the rich to give to the poor reduce inequality in the distribution of wealth, have proved to be useful tools in identifying and extending inequalities in a broad spectrum of ...
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Subsampling quantile estimator majorization inequalities

Statistics & Probability Letters, 1993
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Kaigh, W. D., Sorto, Maria Alejandra
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