Asymptotics for associated random variables

Resource Information

The work Asymptotics for associated random variables represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Asymptotics for associated random variables

Statement of responsibility

Paulo Eduardo Oliveira

Creator

• Oliveira, Paulo Eduardo, (Paulo Eduardo Aragão Alexio Neves de)

Subject

• Asymptotes
• Asymptotes
• Distribution (Probability theory)
• MATHEMATICS -- Applied
• MATHEMATICS -- Probability & Statistics | General
• Mathematical statistics
• Asymptotes
• Random variables
• Random variables
• Random variables
• Statistical Theory and Methods
• Statistics as Topic
• Statistics, general
• Probability Theory and Stochastic Processes

Language

eng

Summary

The book concerns the notion of association in probability and statistics. Association and some other positive dependence notions were introduced in 1966 and 1967 but received little attention from the probabilistic and statistics community. The interest in these dependence notions increased in the last 15 to 20 years, and many asymptotic results were proved and improved. Despite this increased interest, characterizations and results remained essentially scattered in the literature published in different journals. The goal of this book is to bring together the bulk of these results, presenting the theory in a unified way, explaining relations and implications of the results. It will present basic definitions and characterizations, followed by a collection of relevant inequalities. These are then applied to characterize almost sure and weak convergence of sequences of associated variables. It will also cover applications of positive dependence to the characterization of asymptotic results in nonparametric statistics. The book is directed towards researchers in probability and statistics, withparticular emphasis on people interested in nonparametric methods. It will also be of interest to graduate students in those areas. The book could also be used as a reference on association in a course covering dependent variables and their asymptotics. As prerequisite, readers should have knowledge of basic probability on the reals and on metric spaces. Some acquaintance with the asymptotics of random functions, such us empirical processes and partial sums processes, is useful but not essential

Cataloging source

GW5XE

Dewey number

519.2/3

Index

index present

LC call number

QA273.5

LC item number

.O45 2012

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

NLM call number

Online Book