Institute of Mathematical Statistics Lecture Notes - Monograph Series

Inequalities in Statistics and Probability: Proceedings of the Symposium on Inequalities in Statistics and Probability, October 27-30, 1982, Lincoln, Nebraska

Editor: Y. L. Tong
Series Editor: Shanti S. Gupta

Lecture Notes--Monograph Series, 5
Hayward, CA: Institute of Mathematical Statistics, 1984.
254 pp.

Print on Demand

Subjects:

60E15 (primary)
26D15 (primary)
60E99 (primary)
62E99 (primary)
Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1215465617
Mathmatical Reviews number (MathSciNet): MR789228
ISBN:0-940600-04-8

Copyright © 1984, Institute of Mathematical Statistics.

Front Cover and Title Page

i-iv

Preface

v

Acknowledgements

Y. L. Tam; vi

Contributors

vii-viii

Table of Contents

ix-x

Introduction

Y. L. Tam; 1-3

Stochastic versions of rearrangement inequalities

Catherine D'Abadie, and Frank Proschan; 4-12

On group induced orderings, monotone functions, and convolution theorems

Morris L. Eaton; 13-25

Invariant ordering and order preservation

D. R. Jensen; 26-34

Random replacement schemes and multivariate majorization

Samuel Karlin, and Yosef Rinott; 35-40

Eigenvalue inequalities for random evolutions: origins and open problems

Joel E. Cohen; 41-53

On $\rm TP\sb 2$ and log-concavity

Somesh Das Gupta, and S. K. Sarkar; 54-58

A class of generalizations of Hölder's inequality

Marshall Freimer, and Govind S. Mudholkar; 59-67

Convexity properties of entropy functions and analysis of diversity

C. Radhakrishna Rao; 68-77

Some sharp martingale inequalities related to Doob's inequality

David C. Cox; 78-83

Least absolute value and median polish

J. H. B. Kemperman; 84-103

Markov's inequality for random variables taking values in a linear topological space

Albert W. Marshall; 104-108

Probability measures on the circle and the isoperimetric inequality

Richard A. Vitale; 109-111

An expansion for symmetric statistics and the Efron-Stein inequality

Richard A. Vitale; 112-114

On Chebyshev's other inequality

A. M. Fink, and Max Jodeit, Jr.; 115-120

Remarks and open problems in the area of the FKG inequality

Kumar Joag-Dev, L. A. Shepp, and Richard A. Vitale; 121-126

Asymptotic independence and limit theorems for positively and negatively dependent random variables

Charles M. Newman; 127-140

Stochastic ordering of spacings from dependent random variables

Moshe Shaked, and Y. L. Tong; 141-149

Probabilistic ordering of Scheffé polyhedra

R. Bohrer, and H. P. Wynn; 150-155

Regions whose probabilities increase with the correlation coefficient and Slepian's theorem

S. W. Dharmadhikari, and Kumar Joag-Dev; 156-164

Moment inequalities with applications to regression and time series models

Tze Leung Lai, and Ching Zong Wei; 165-172

Stochastic majorization of the log-eigenvalues of a bivariate Wishart matrix

Michael D. Perlman; 173-177

Approximations and error bounds in stochastic programming

John R. Birge, and Roger J.-B. Wets; 178-186

Comparing coherent systems

Henry W. Block, and Wagner de Souza Borges; 187-192

Multivariate life classes and inequalities

Thomas H. Savits; 193-198

Applications of a unified theory of monotonicity in selection problems

Roger L. Berger, and Frank Proschan; 199-205

Selecting the $t$ best cells of a multinomial using inverse sampling

Pinyuen Chen, and Milton Sobel; 206-210

On some inequalities and monotonicity results in selection and ranking theory

Shanti S. Gupta, Deng-Yuan Huang, and S. Panchapakesan; 211-227

Dual convex cones of order restrictions with applications

Richard L. Dykstra; 228-235

Tests for and against trends among Poisson intensities

Rhonda Magel, and F. T. Wright; 236-243

A measure of the conformity of a parameter set to a trend: the partially ordered case

Tim Robertson, and F. T. Wright; 244-250

Program of the Symposium on Inequalities in Statistics and Probability

251-254

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series