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  • Book
  • © 2006

Advances in Distribution Theory, Order Statistics, and Inference

Birkhäuser
  • Several distinguished and active researchers are contributors to the volume
  • Recent developments in statistical distribution theory, order statistics, and inferential methods are presented
  • Applications to survival analysis, reliability, quality control, and the environment are highlighted
  • Good comprehensive reference work for practitioners, researchers and graduate students in applied probability and statistics, reliability engineering, and biostatistics

Part of the book series: Statistics for Industry and Technology (SIT)

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-liii
  2. Discrete Distributions and Applications

    1. Front Matter

      Pages 1-1
    2. Stochastic Comparisons of Bernoulli Sums and Binomial Random Variables

      • Philip J. Boland, Harshinder Singh
      Pages 3-11
  3. Continuous Distributions and Applications

    1. Front Matter

      Pages 59-59
    2. A Kotz-Type Distribution for Multivariate Statistical Inference

      • Dayanand N. Naik, Kusaya Plungpongpun
      Pages 111-124
    3. Multifractional Probabilistic Laws

      • M. D. Ruiz-Medina, J. M. Angulo
      Pages 143-153

About this book

Barry Arnold has made fundamental contributions to many different areas of statistics, including distribution theory, Bayesian inference, multivariate analysis, bounds and orderings, and characterization problems. Organized to honor Arnold’s significant contributions to the field, this volume is an outgrowth of the "International Conference on Distribution Theory, Order Statistics, and Inference," held at the University of Cantabria, Santander, Spain.

Several distinguished and active researchers highlight some of the recent developments in statistical distribution theory, order statistics and their properties, as well as inferential methods associated with them. Applications to survival analysis, reliability, quality control, and environmental problems are emphasized.

This comprehensive reference work will serve the statistical and applied mathematics communities, as well as practitioners, researchers, and graduate students in applied probability and statistics, reliability engineering, and biostatistics.

Reviews

From the reviews:

“This volume, which is written in the honour of Professor Barry C. Arnold, reflects his diverse interests and recognizes his important contributions to different areas of statistics (e.g., order statistics, distribution theory, Bayesian inference … and characterization problems). … This book marks the main advances in these areas of research containing theory, methods, applications and extensive bibliographies. All these elements recommend this work as a significant scientific contribution and an important instrument for researchers and graduate students in the areas of statistics and applied mathematics.” (Lucian Maticiuc, Iasi Polytechnic Magazine, Vol. 21 (1/4), March/December, 2009)

Editors and Affiliations

  • Department of Mathematics and Statistics, McMaster University, Hamilton, Canada

    N. Balakrishnan

  • Department of Economics, University of Cantabria, Santander, Spain

    José María Sarabia, Enrique Castillo

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access