Ranked Set Sampling: Theory and Applications

ISBN-13: 9780387402635 / Angielski / Miękka / 2003 / 227 str.

Zehua Chen; Zhidong Bai; Bimal K. Sinha

Opis

This monograph is the first book-length exposition of ranked set sampling. But, the subject matter is by no means new. The original notion of ranked set sampling, though not the technical term, was proposed by McIntyre in 1952. It was buried in the literature for quite a while. Its value was only re-discovered in recent years because of its cost-effective nature. Now, ranked set sampling has attracted practical interest in application areas such as agriculture, forestry, ecological and environmental science, and medical studies etc .. The theoretical foundations of the method has also been developed considerably, particularly during the last 15 years or so. A systematic exposition of the subject becomes necessary. This book covers every development of RSS since the birth of the original idea. Statistical inferences based on RSS are investigated from the originally intended estimation of a population mean to many more complicated pro cedures such as the inferences on smooth-function-of-means, quantiles and density functions, the distribution-free tests and regression analyses. Various variants of the original RSS scheme are explored, including RSS with imper fect judgment ranking or ranking by concomitant variables, adaptive RSS, multi-layer RSS and a variety of unbalanced RSS with certain optimalities."

Recenzje

From the reviews:

"This comprehensive and up-to-date monograph covers, systematically and in simple language, the theory and applications of ranked set sampling (RSS), an improved technique related to traditional simple random sampling (SRS). Strong emphasis is placed on theoretical developments in RSS. In the meanwhile, the practical orientation and broad coverage will appeal to researchers and scientists working in sampling techniques, experimental designs, nonparametric statistics, and related fields...I would highly recommend this well-written and reasonably priced book." Techometrics, February 2005

"Ranked Set Sampling: Theory and Applications represents a major achievement, providing an up-to-date account of major research in ranked set sampling....this book would be a good addition to the library of anyone involved in statistical, environmental, and ecological research." Journal of the American Statistical Association, September 2005

"The book is well laid out with concepts well explained...Those who are recently getting interested in the topic will find it an excellent start." Biometrics, December 2005

"This is the first monograph on ranked set sampling (RSS). ... The book presents a happy mixture of theory and applications. Indeed, theoretical foundations are provided with mathematical rigor, and various methods are illustrated by real or simulated data. ... The book will be used as a common reference by statisticians as well as practitioners in agriculture, sociology, ecological and medical studies, etc. It can serve as a textbook for a short course at the graduate level." (Oleksandr Kukush, Zentralblatt MATH, Vol. 1045 (20), 2004)

"This comprehensive and up-to-date monograph covers, systematically and in simple language, the theory and applications of ranked set sampling (RSS) ... . the practical orientation and broad coverage will appeal to researchers and scientists working in sampling techniques, experimental designs, nonparametric statistics, and related fields. ... I would highly recommend this well-written and reasonably priced book to researchers and practitioners, all of whom are likely to use one or more of the methods it discusses." (Chunming Zhang, Technometrics, Vol. 47 (1), February, 2005)

"This is the first book on the concept and applications of ranked set sampling. It provides a comprehensive review of the literature, and it includes many new results and novel applications. The mathematical rigor of the theoretical foundations makes it beneficial to researchers. The detailed description of various methods illustrated by real or simulated data makes it useful for scientists and practitioners ... . It can serve as a reference book and as a textbook for a short course at the graduate level." (L'Enseignement Mathematique, Vol. 50 (1-2), 2004)

Spis treści

1 Introduction.- 2 Balanced Ranked Set Sampling I: Nonparametric.- 3 Balanced Ranked Set Sampling II: Parametric.- 4 Unbalanced Ranked Set Sampling and Optimal Designs.- 5 Distribution-Free Tests with Ranked Set Sampling.- 6 Ranked Set Sampling with Concomitant Variables.- 7 Ranked Set Sampling as Data Reduction Tools.- 8 Case Studies.- References.

Blurb

This is the first book on the concept and applications of ranked set sampling. It provides a comprehensive review of the literature, and it includes many new results and novel applications.

Scientists and researchers on this subject will find a balanced presentation of theory and applications. The mathematical rigor of the theoretical foundations makes it beneficial to researchers. The detailed description of various methods illustrated by real or simulated data makes it useful for scientists and practitioners in application areas such as agriculture, forestry, sociology, ecological and environmental science, and medical studies. It can serve as a reference book and as a textbook for a short course at the graduate level.

Zehua Chen is Associate Professor of Statistics at the National University of Singapore. Zhidong Bai is Professor of Statistics at the National University of Singapore; he is a Fellow of the Institute of Mathematical Statistics. Bimal Sinha is the Presidential Research Professor at University of Maryland Baltimore County; he is a Fellow of the Institute of Mathematical Statistics and the American Statistical Association.