Institute of Mathematical Statistics Lecture Notes - Monograph Series

Topics in statistical dependence

Editor: Henry W. Block
Editor: Allan R. Sampson
Editor: Thomas H. Savits

Lecture Notes--Monograph Series, Volume 16
Hayward, CA: Institute of Mathematical Statistics, 1990.
522 pp.

Subjects:

62-06 (primary)
Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1215457539
Mathmatical Reviews number (MathSciNet): MR1193961
ISBN:0-940600-23-4

Copyright © 1990, Institute of Mathematical Statistics.

Front Cover and Title Pages

i-ii

Preface

iii-vi

Table of Contents

vii-x

Introduction

1-4

Should minimal repair depend on information?

Elja Arjas, and Ilkka Norros; 5-12

Dependence in conditionally specified distributions

Barry C. Arnold; 13-18

Conditional independence and probabilistic influence diagrams

Richard E. Barlow, and Carlos Alberto de Braganca Pereira; 19-33

A survey of some inference problems for dependent systems

Asit P. Basu; 35-44

Partial orderings on permutations

H. W. Block, D. Chhetry, Z. Fang, and A. R. Sampson; 45-55

Comparisons for maintenance policies involving complete and minimal repair

Henry W. Block, Naftali A. Langberg, and Thomas H. Savits; 57-68

Time series models for non-Gaussian processes

H. W. Block, N. A. Langberg, and D. S. Stoffer; 69-83

Some majorization inequalities for functions of exchangeable random variables

Philip J. Boland, Frank Proschan, and Y. L. Tong; 85-91

Stochastically monotone dependence

Bennett Brady, and Nozer D. Singpurwalla; 93-102

A decision approach to ordering stochastic dependence

T. Bromek, and T. Kowalczyk; 103-109

On a correlation inequality and its applications

Mark Brown; 111-119

Convex-ordering among functions, with applications to reliability and mathematical statistics

Wai Chan, Frank Proschan, and Jayaram Sethuraman; 121-134

Unbiasedness of tests of homogeneity when alternatives are ordered

Arthur Cohen, Michael D. Perlman, and Harold B. Sackrowitz; 135-145

Bounds for tail probabilities of weighted sums of independent gamma random variables

Persi Diaconis, and Michael D. Perlman; 147-166

An overview of dependency models for cross-classified categorical data involving ordinal variables

Ruth Douglas, and Stephen E. Fienberg; 167-188

Positive dependence concepts for ordinal contingency tables

Ruth Douglas, Stephen E. Fienberg, Mei Ling T. Lee, Allan R. Sampson, and Lyn R. Whitaker; 189-202

Dependence relationships for rays in a convex body in $\bf R\sp n$

E. G. Enns; 203-206

Bivariate Markov chains containing a failure process

Nancy Flournoy; 207-222

A comparison of Bonferroni-type and product-type inequalities in presence of dependence

Joseph Glaz; 223-235

Robustness of Mann-Whitney-Wilcoxon test for scale to dependence in the variables

Z. Govindarajulu; 237-250

Relative errors in reliability measures

Pushpa L. Gupta, and R. D. Gupta; 251-256

Information, censoring, and dependence

Myles Hollander, Frank Proschan, and James Sconing; 257-268

Dependence in multivariate extreme values

J. Hüsler; 269-281

Invariance under dependence by mixing

D. R. Jensen; 283-293

Conditional negative dependence in stochastic ordering and interchangeable random variables

Kumar Joag-Dev; 295-298

A linear combination test for detecting serial correlation in multivariate samples

Richard A. Johnson, and T. Langeland; 299-313

Calculating improved bounds and approximations for sequential testing procedures

James R. Kenyon; 315-332

Interrelations among various definitions of bivariate positive dependence

Samuel Kotz, Qiwen Wang, and Ken Hung; 333-349

Tests of independence against likelihood ratio dependence in ordered contingency tables

Mei Ling Ting Lee; 351-357

Classes of multivariate exponential and multivariate geometric distributions derived from Markov processes

N. T. Longford; 359-369

Multivariate distributions generated from mixtures of convolution and product families

Albert W. Marshall, and Ingram Olkin; 371-393

Ising models and dependent percolation

Charles M. Newman; 395-401

An ordering of dependence

Marco Scarsini; 403-414

Dynamic construction and simulation of random vectors

Moshe Shaked, and J. George Shanthikumar; 415-433

Models for dependent lifelengths induced by common environments

Nozer D. Singpurwalla, and Mark A. Youngren; 435-441

Some comments on positive quadrant dependence in three dimensions

K. Subramanyam; 443-449

On the structure of $2\times\infty$ bivariate distributions which are totally positive of order two

K. Subramanyam, and M. Bhaskara Rao; 451-458

On stochastic dependence and a class of degenerate distributions

Richard A. Vitale; 459-469

Estimating a distribution function based on minima-nomination sampling

Martin T. Wells, and Ram C. Tiwari; 471-479

A strong limit theorem for processes with associated increments

A. Larry Wright; 481-487

Dependence ordering in statistical models and other notions

Takemi Yanagimoto; 489-496

Program of the Symposium on Dependence in Statistics and Probability

497-504

Conference Participants and Photographs

505-506

Author Citation Index

505-506

Key Word and Phrases Index

519-522

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series