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

Editor(s) Y. L. Tong

IMS Lecture Notes Monogr. Ser., 5: 254pp. (1984). DOI: 10.1214/lnms/1215465617

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Institute of Mathematical Statistics Lecture Notes - Monograph Series, Volume 5

254 pp.

Published: 1984

First available in Project Euclid: 7 July 2008

MathSciNet: MR789228

Digital Object Identifier: 10.1214/lnms/1215465617

ISBN: 0940600048

Subjects:

Primary: 26D15 , 60E15 , 60E99 , 62E99

Institute of Mathematical Statistics Lecture Notes - Monograph Series

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Front Cover and Title Page

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, i-iv (1984). Open Access

Preface

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, v-v (1984). Open Access

Acknowledgements

Y. L. Tong

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, vi-vi (1984). Open Access

Contributors

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, vii-viii (1984). Open Access

Table of Contents

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, ix-x (1984). Open Access

Introduction

Y. L. Tong

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 1-3 (1984). Open Access

Stochastic versions of rearrangement inequalities

Catherine D'Abadie , Frank Proschan

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 4-12 (1984). https://doi.org/10.1214/lnms/1215465624 Open Access

KEYWORDS: 60C05, 60E15

On group induced orderings, monotone functions, and convolution theorems

Morris L. Eaton

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 13-25 (1984). https://doi.org/10.1214/lnms/1215465625 Open Access

KEYWORDS: 52A40, 06A10, 60E15

Invariant ordering and order preservation

D. R. Jensen

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 26-34 (1984). https://doi.org/10.1214/lnms/1215465626 Open Access

KEYWORDS: 06A10, 15A45, 62H05

Random replacement schemes and multivariate majorization

Samuel Karlin , Yosef Rinott

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 35-40 (1984). https://doi.org/10.1214/lnms/1215465627 Open Access

KEYWORDS: 62D05, 60E15

Eigenvalue inequalities for random evolutions: origins and open problems

Joel E. Cohen

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 41-53 (1984). https://doi.org/10.1214/lnms/1215465628 Open Access

KEYWORDS: 92A15, 60H25

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

Somesh Das Gupta , S. K. Sarkar

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 54-58 (1984). https://doi.org/10.1214/lnms/1215465629 Open Access

KEYWORDS: 60E15, 26D20, 62E15

A class of generalizations of Hölder's inequality

Marshall Freimer , Govind S. Mudholkar

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 59-67 (1984). https://doi.org/10.1214/lnms/1215465630 Open Access

KEYWORDS: 26D15, 52A40

Convexity properties of entropy functions and analysis of diversity

C. Radhakrishna Rao

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 68-77 (1984). https://doi.org/10.1214/lnms/1215465631 Open Access

KEYWORDS: 94A17, 62J10

Some sharp martingale inequalities related to Doob's inequality

David C. Cox

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 78-83 (1984). https://doi.org/10.1214/lnms/1215465632 Open Access

KEYWORDS: 60G42, 60E15

Least absolute value and median polish

J. H. B. Kemperman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 84-103 (1984). https://doi.org/10.1214/lnms/1215465633 Open Access

KEYWORDS: 62J05, 41A50

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

Albert W. Marshall

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 104-108 (1984). https://doi.org/10.1214/lnms/1215465634 Open Access

KEYWORDS: 60E15

Probability measures on the circle and the isoperimetric inequality

Richard A. Vitale

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 109-111 (1984). https://doi.org/10.1214/lnms/1215465635 Open Access

KEYWORDS: 60E15

An expansion for symmetric statistics and the Efron-Stein inequality

Richard A. Vitale

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 112-114 (1984). https://doi.org/10.1214/lnms/1215465636 Open Access

KEYWORDS: 60E15, 62H20

On Chebyshev's other inequality

A. M. Fink , Max Jodeit, Jr.

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 115-120 (1984). https://doi.org/10.1214/lnms/1215465637 Open Access

KEYWORDS: 26D15, 60E15

Remarks and open problems in the area of the FKG inequality

Kumar Joag-Dev , L. A. Shepp , Richard A. Vitale

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 121-126 (1984). https://doi.org/10.1214/lnms/1215465638 Open Access

KEYWORDS: 60E15, 62H20

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

Charles M. Newman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 127-140 (1984). https://doi.org/10.1214/lnms/1215465639 Open Access

KEYWORDS: 60F05, 60E15, 62H05, 62H20

Stochastic ordering of spacings from dependent random variables

Moshe Shaked , Y. L. Tong

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 141-149 (1984). https://doi.org/10.1214/lnms/1215465640 Open Access

KEYWORDS: 60E15, 62G30

Probabilistic ordering of Scheffé polyhedra

R. Bohrer , H. P. Wynn

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 150-155 (1984). https://doi.org/10.1214/lnms/1215465641 Open Access

KEYWORDS: 62J15, 60E15

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

S. W. Dharmadhikari , Kumar Joag-Dev

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 156-164 (1984). https://doi.org/10.1214/lnms/1215465642 Open Access

KEYWORDS: 62H20, 60E15

Moment inequalities with applications to regression and time series models

Tze Leung Lai , Ching Zong Wei

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 165-172 (1984). https://doi.org/10.1214/lnms/1215465643 Open Access

KEYWORDS: 60F15, 60E15, 62J05, 62M10

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

Michael D. Perlman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 173-177 (1984). https://doi.org/10.1214/lnms/1215465644 Open Access

KEYWORDS: 62H15, 62H05

Approximations and error bounds in stochastic programming

John R. Birge , Roger J.-B. Wets

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 178-186 (1984). https://doi.org/10.1214/lnms/1215465645 Open Access

KEYWORDS: 90C15

Comparing coherent systems

Henry W. Block , Wagner de Souza Borges

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 187-192 (1984). https://doi.org/10.1214/lnms/1215465646 Open Access

KEYWORDS: 62N05, 90B25

Multivariate life classes and inequalities

Thomas H. Savits

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 193-198 (1984). https://doi.org/10.1214/lnms/1215465647 Open Access

KEYWORDS: 62N05, 60K10, 90B25

Applications of a unified theory of monotonicity in selection problems

Roger L. Berger , Frank Proschan

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 199-205 (1984). https://doi.org/10.1214/lnms/1215465648 Open Access

KEYWORDS: 62F07

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

Pinyuen Chen , Milton Sobel

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 206-210 (1984). https://doi.org/10.1214/lnms/1215465649 Open Access

KEYWORDS: 62F07

On some inequalities and monotonicity results in selection and ranking theory

Shanti S. Gupta , Deng-Yuan Huang , S. Panchapakesan

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 211-227 (1984). https://doi.org/10.1214/lnms/1215465650 Open Access

KEYWORDS: 62F07, 62N05

Dual convex cones of order restrictions with applications

Richard L. Dykstra

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 228-235 (1984). https://doi.org/10.1214/lnms/1215465651 Open Access

KEYWORDS: 52A40, 52A20, 60E15, 62H10

Tests for and against trends among Poisson intensities

Rhonda Magel , F. T. Wright

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 236-243 (1984). https://doi.org/10.1214/lnms/1215465652 Open Access

KEYWORDS: 62F03, 62E20

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

Tim Robertson , F. T. Wright

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 244-250 (1984). https://doi.org/10.1214/lnms/1215465653 Open Access

KEYWORDS: 62F03

Program of the Symposium on Inequalities in Statistics and Probability

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 5, 251-254 (1984). Open Access

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