Topics in statistical dependence

Editor(s) Henry W. Block, Allan R. Sampson, Thomas H. Savits

IMS Lecture Notes Monogr. Ser., 16: 522pp. (1990). DOI: 10.1214/lnms/1215457539

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Institute of Mathematical Statistics Lecture Notes - Monograph Series, Volume 16

522 pp.

Published: 1990

First available in Project Euclid: 7 July 2008

MathSciNet: MR1193961

Digital Object Identifier: 10.1214/lnms/1215457539

ISBN: 0940600234

Subjects:

Primary: 62-06

Institute of Mathematical Statistics Lecture Notes - Monograph Series

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Front Cover and Title Pages

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, i-ii (1990). Open Access

Preface

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, iii-v (1990). Open Access

Table of Contents

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, vii-x (1990). Open Access

Introduction

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 1-4 (1990). https://doi.org/10.1214/lnms/1215457543 Open Access

Should minimal repair depend on information?

Elja Arjas , Ilkka Norros

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 5-12 (1990). https://doi.org/10.1214/lnms/1215457544 Open Access

KEYWORDS: 60G55, 60K10, 90B25

Dependence in conditionally specified distributions

Barry C. Arnold

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 13-18 (1990). https://doi.org/10.1214/lnms/1215457545 Open Access

KEYWORDS: 62E10

Conditional independence and probabilistic influence diagrams

Richard E. Barlow , Carlos Alberto de Braganca Pereira

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 19-33 (1990). https://doi.org/10.1214/lnms/1215457546 Open Access

KEYWORDS: 60E05, 62A15, 62B15

A survey of some inference problems for dependent systems

Asit P. Basu

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 35-44 (1990). https://doi.org/10.1214/lnms/1215457547 Open Access

KEYWORDS: 62H12, 62G10, 62H15, 62N05

Partial orderings on permutations

H. W. Block , D. Chhetry , Z. Fang , A. R. Sampson

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 45-55 (1990). https://doi.org/10.1214/lnms/1215457548 Open Access

KEYWORDS: 62E10

Comparisons for maintenance policies involving complete and minimal repair

Henry W. Block , Naftali A. Langberg , Thomas H. Savits

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 57-68 (1990). https://doi.org/10.1214/lnms/1215457549 Open Access

KEYWORDS: 62N05

Time series models for non-Gaussian processes

H. W. Block , N. A. Langberg , D. S. Stoffer

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 69-83 (1990). https://doi.org/10.1214/lnms/1215457550 Open Access

KEYWORDS: 62M10

Some majorization inequalities for functions of exchangeable random variables

Philip J. Boland , Frank Proschan , Y. L. Tong

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 85-91 (1990). https://doi.org/10.1214/lnms/1215457551 Open Access

KEYWORDS: 60E15, 62H99

Stochastically monotone dependence

Bennett Brady , Nozer D. Singpurwalla

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 93-102 (1990). https://doi.org/10.1214/lnms/1215457552 Open Access

KEYWORDS: 60K10, 62N05

A decision approach to ordering stochastic dependence

T. Bromek , T. Kowalczyk

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 103-109 (1990). https://doi.org/10.1214/lnms/1215457553 Open Access

KEYWORDS: 62H20, 62C99

On a correlation inequality and its applications

Mark Brown

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 111-119 (1990). https://doi.org/10.1214/lnms/1215457554 Open Access

KEYWORDS: 60E15, 60G55

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

Wai Chan , Frank Proschan , Jayaram Sethuraman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 121-134 (1990). https://doi.org/10.1214/lnms/1215457555 Open Access

KEYWORDS: 60E15, 62N05

Unbiasedness of tests of homogeneity when alternatives are ordered

Arthur Cohen , Michael D. Perlman , Harold B. Sackrowitz

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 135-145 (1990). https://doi.org/10.1214/lnms/1215457556 Open Access

KEYWORDS: 62F03, 62F30

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

Persi Diaconis , Michael D. Perlman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 147-166 (1990). https://doi.org/10.1214/lnms/1215457557 Open Access

KEYWORDS: 60E15, 62E15

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

Ruth Douglas , Stephen E. Fienberg

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 167-188 (1990). https://doi.org/10.1214/lnms/1215457558 Open Access

KEYWORDS: 62H17

Positive dependence concepts for ordinal contingency tables

Ruth Douglas , Stephen E. Fienberg , Mei Ling T. Lee , Allan R. Sampson , Lyn R. Whitaker

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 189-202 (1990). https://doi.org/10.1214/lnms/1215457559 Open Access

KEYWORDS: 62H17

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

E. G. Enns

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 203-206 (1990). https://doi.org/10.1214/lnms/1215457560 Open Access

KEYWORDS: 62H05, 62H20

Bivariate Markov chains containing a failure process

Nancy Flournoy

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 207-222 (1990). https://doi.org/10.1214/lnms/1215457561 Open Access

KEYWORDS: 60J27

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

Joseph Glaz

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 223-235 (1990). https://doi.org/10.1214/lnms/1215457562 Open Access

KEYWORDS: 60E15, 62E15

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

Z. Govindarajulu

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 237-250 (1990). https://doi.org/10.1214/lnms/1215457563 Open Access

KEYWORDS: 62G20, 62G10

Relative errors in reliability measures

Pushpa L. Gupta , R. D. Gupta

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 251-256 (1990). https://doi.org/10.1214/lnms/1215457564 Open Access

KEYWORDS: 62N05

Information, censoring, and dependence

Myles Hollander , Frank Proschan , James Sconing

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 257-268 (1990). https://doi.org/10.1214/lnms/1215457565 Open Access

KEYWORDS: 62N05, 62B10

Dependence in multivariate extreme values

J. Hüsler

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 269-281 (1990). https://doi.org/10.1214/lnms/1215457566 Open Access

KEYWORDS: 60F05, 60G70, 62H05, 62H20

Invariance under dependence by mixing

D. R. Jensen

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 283-293 (1990). https://doi.org/10.1214/lnms/1215457567 Open Access

KEYWORDS: 60E05, 60F05, 62H05

Conditional negative dependence in stochastic ordering and interchangeable random variables

Kumar Joag-Dev

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 295-298 (1990). https://doi.org/10.1214/lnms/1215457568 Open Access

KEYWORDS: 60E99, 62H20, 62N05

A linear combination test for detecting serial correlation in multivariate samples

Richard A. Johnson , T. Langeland

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 299-313 (1990). https://doi.org/10.1214/lnms/1215457569 Open Access

KEYWORDS: 62H20, 62F05

Calculating improved bounds and approximations for sequential testing procedures

James R. Kenyon

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 315-332 (1990). https://doi.org/10.1214/lnms/1215457570 Open Access

KEYWORDS: 62L10

Interrelations among various definitions of bivariate positive dependence

Samuel Kotz , Qiwen Wang , Ken Hung

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 333-349 (1990). https://doi.org/10.1214/lnms/1215457571 Open Access

KEYWORDS: 62H05, 62N05

Tests of independence against likelihood ratio dependence in ordered contingency tables

Mei Ling Ting Lee

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 351-357 (1990). https://doi.org/10.1214/lnms/1215457572 Open Access

KEYWORDS: 62G10, 62H17, 62H20

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

N. T. Longford

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 359-369 (1990). https://doi.org/10.1214/lnms/1215457573 Open Access

KEYWORDS: 60E05, 60G40, 62E15

Multivariate distributions generated from mixtures of convolution and product families

Albert W. Marshall , Ingram Olkin

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 371-393 (1990). https://doi.org/10.1214/lnms/1215457574 Open Access

KEYWORDS: 60E05, 62E10

Ising models and dependent percolation

Charles M. Newman

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 395-401 (1990). https://doi.org/10.1214/lnms/1215457575 Open Access

KEYWORDS: 60K35, 05C80, 82B20, 82B43

An ordering of dependence

Marco Scarsini

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 403-414 (1990). https://doi.org/10.1214/lnms/1215457576 Open Access

KEYWORDS: 62H20

Dynamic construction and simulation of random vectors

Moshe Shaked , J. George Shanthikumar

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 415-433 (1990). https://doi.org/10.1214/lnms/1215457577 Open Access

KEYWORDS: 60K10

Models for dependent lifelengths induced by common environments

Nozer D. Singpurwalla , Mark A. Youngren

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 435-441 (1990). https://doi.org/10.1214/lnms/1215457578 Open Access

KEYWORDS: 60K10, 62N05

Some comments on positive quadrant dependence in three dimensions

K. Subramanyam

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 443-449 (1990). https://doi.org/10.1214/lnms/1215457579 Open Access

KEYWORDS: 60E05, 62H05

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

K. Subramanyam , M. Bhaskara Rao

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 451-458 (1990). https://doi.org/10.1214/lnms/1215457580 Open Access

KEYWORDS: 60E05, 62H05

On stochastic dependence and a class of degenerate distributions

Richard A. Vitale

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 459-469 (1990). https://doi.org/10.1214/lnms/1215457581 Open Access

KEYWORDS: 60E05, 28D05, 60B10, 62E10, 62H05

Estimating a distribution function based on minima-nomination sampling

Martin T. Wells , Ram C. Tiwari

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 471-479 (1990). https://doi.org/10.1214/lnms/1215457582 Open Access

KEYWORDS: 62G05

A strong limit theorem for processes with associated increments

A. Larry Wright

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 481-487 (1990). https://doi.org/10.1214/lnms/1215457583 Open Access

KEYWORDS: 60G17, 60G44, 60J30

Dependence ordering in statistical models and other notions

Takemi Yanagimoto

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 489-496 (1990). https://doi.org/10.1214/lnms/1215457584 Open Access

KEYWORDS: 62E10, 60E15, 62H20

Program of the Symposium on Dependence in Statistics and Probability

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 497-504 (1990). Open Access

Conference Participants and Photographs

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 505-506 (1990). Open Access

Author Citation Index

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 505-506 (1990). https://doi.org/10.1214/lnms/1215457587 Open Access

Key Word and Phrases Index

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 16, 519-522 (1990). https://doi.org/10.1214/lnms/1215457588 Open Access

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