Records

by Arnold, Barry C.; Balakrishnan, N.; Nagaraja, H. N.

• ISBN13: 9781118150412
• ISBN10: 1118150414
• Edition: 1st
• Format: eBook
• Copyright: 2011-10-24
• Publisher: Wiley

Summary

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 also makes an excellent primary text for courses in record theory and a supplement to order statistics courses.

Author Biography

BARRY C. ARNOLD is Professor in the Department of Statistics at University of California, Riverside. He is a Fellow of both the American Statistical Association and the Institute of Mathematical Statistics. His publications include another Wiley book, A First Course in Order Statistics.

N. BALAKRISHNAN is Professor in the Department of Mathematics and Statistics at McMaster University, Canada. He is a Fellow of the American Statistical Association. His publications include other Wiley books: A First Course in Order Statistics, Continuous Univariate Distributions - 1 & 2, and Discrete Multivariate Distributions.

H. N. NAGARAJA is Professor in the Department of Statistics at Ohio State University, Columbus. His publications include another Wiley book, A First Course in Order Statistics.

Table of Contents

Basic Distributional Results.

Moment Relations, Bounds and Approximations.

Characterizations.

Inference.

General Record Models.

Random and Point Process Record Models.

Higher Dimensional Problems.

Bibliography.

Indexes.