Records / Edition 1

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Overview

The first and only comprehensive guide to modern record theory and its applications

Although it is often thought of as a special topic in order statistics, records form a unique area, independent of the study of sample extremes. Interest in records has increased steadily over the years since Chandler formulated the theory of records in 1952. Numerous applications of them have been developed in such far-flung fields as meteorology, sports analysis, hydrology, and stock market analysis, to name just a few. And the literature on the subject currently comprises papers and journal articles numbering in the hundreds. Which is why it is so nice to have this book devoted exclusively to this lively area of statistics.

Written by an exceptionally well-qualified author team, Records presents a comprehensive treatment of record theory and its applications in a variety of disciplines. With the help of a multitude of fascinating examples, Professors Arnold, Balakrishnan, and Nagaraja help readers quickly master basic and advanced record value concepts and procedures, from the classical record value model to random and multivariate record models. The book follows a rational textbook format, featuring witty and insightful chapter introductions that help smooth transitions from one topic to another and challenging chapter-end exercises, which expand on the material covered. An extensive bibliography and numerous references throughout the text specify sources for further readings on relevant topics. Records is a valuable professional resource for probabilists and statisticians, in addition to applied statisticians, meteorologists, hydrologists, market analysts, and sports analysts. It alsomakes an excellent primary text for courses in record theory and a supplement to order statistics courses.

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Editorial Reviews

Booknews
This textbook provides a resource for a one-term course on record statistics. In their preface the authors apologize to readers who might be seeking "the latest information on the tallest resident of Lithuania or the most recent record of the renowned pole vaulter Sergei Bubka"; the material covered here focuses on the theory behind sequences of record values and times<-->theory that the authors contend is both elegant and elementary. Prerequisites include a one- year course in introductory mathematical statistics, and additional basic knowledge of stochastic processes. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

Table of Contents

Notations and Abbreviations
Preface
1 Introduction 1
2 Basic Distributional Results 7
3 Moment Relations, Bounds and Approximations 51
4 Characterizations 93
5 Inference 121
6 General Record Models 183
7 Random and Point Process Record Models 223
8 Higher Dimensional Problems 265
Bibliography 279
Author Index 303
Subject Index 309
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