© 2021

Advances in Statistics - Theory and Applications

Honoring the Contributions of Barry C. Arnold in Statistical Science

  • Indranil Ghosh
  • N. Balakrishnan
  • Hon Keung Tony Ng

Part of the Emerging Topics in Statistics and Biostatistics book series (ETSB)

Table of contents

  1. Front Matter
    Pages i-xxxviii
  2. Ordered Data Analysis

    1. Front Matter
      Pages 1-1
    2. N. Balakrishnan, M. He
      Pages 3-24
  3. Univariate Distribution Theory

    1. Front Matter
      Pages 67-67
    2. Filipe J. Marques, Indranil Ghosh, Johan Ferreira, Andriëtte Bekker
      Pages 69-83
    3. Indranil Ghosh, Hon Keung Tony Ng
      Pages 133-160
  4. Multivariate Distribution Theory

    1. Front Matter
      Pages 161-161
    2. Enrique Castillo, José María Sarabia
      Pages 163-180
    3. Reinaldo B. Arellano-Valle, Simone B. Harnik, Marc G. Genton
      Pages 181-206
    4. Vincenzo Coia, Harry Joe, Natalia Nolde
      Pages 207-228
  5. General

    1. Front Matter
      Pages 229-229
    2. Nozer D. Singpurwalla, Boya Lai
      Pages 231-242
  6. Goodness-of-Fit Tests

    1. Front Matter
      Pages 243-243
    2. J. A. Villaseñor, E. González-Estrada
      Pages 271-282
  7. Statistical Inference

    1. Front Matter
      Pages 283-283

About this book


This edited collection brings together internationally recognized experts in a range of areas of statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold has made exceptional advancements in different areas of probability, statistics, and biostatistics, especially in the areas of distribution theory, order statistics, and statistical inference. As a tribute to his work, this book presents novel developments in the field, as well as practical applications and potential future directions in research and industry. It will be of interest to graduate students and researchers in probability, statistics, and biostatistics, as well as practitioners and technicians in the social sciences, economics, engineering, and medical sciences.


distribution theory multivariate distributions statistical inference order statistics majorization in Lorenz curve characterization Bayes

Editors and affiliations

  • Indranil Ghosh
    • 1
  • N. Balakrishnan
    • 2
  • Hon Keung Tony Ng
    • 3
  1. 1.Department of Mathematics and StatisticsUniversity of North Carolina WilmingtonWilmingtonUSA
  2. 2.Department of Mathematics and StatisticsMcMaster UniversityHamiltonCanada
  3. 3.Department of Statistical ScienceSouthern Methodist UniversityDallasUSA

About the editors

Indranil Ghosh is an Associate Professor of Statistics in the Department of Mathematics and Statistics at the University of North Carolina Wilmington, USA. Currently, he is serving as a guest editor for a special issue of the journal Computational and Mathematical Methods (John Wiley & Sons) and on the editorial board of the Journal of Business Analytics (Taylor & Francis), and is an associate editor for the Journal of the Iranian Statistical Society. He is the Chair-Elect 2021 of the Section on Risk Analysis of the American Statistical Association, and an elected member of the International Statistical Institute.

Narayanaswamy Balakrishnan, Distinguished University Professor, is in the Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada. Professor Balakrishnan is an internationally recognized expert on many areas of statistics, including statistical distribution theory and ordered data analysis. He is currently the Editor-in-Chief of Communications in Statistics (Taylor & Francis), and was previously the Editor-in-Chief for the revised version of Encyclopedia of Statistical Sciences (John Wiley & Sons). He is a Fellow of the American Statistical Association and a Fellow of the Institute of Mathematical Statistics, and in 2016 he received an Honorary Doctorate from The National and Kapodistrian University of Athens, Greece.

Hon Keung Tony Ng is a Professor of Statistical Science with the Southern Methodist University, Dallas, TX, USA. He is an associate editor of Communications in Statistics, Computational Statistics, IEEE Transactions on Reliability, Journal of Statistical Computation and Simulation, Naval Research Logistics, Sequential Analysis and Statistics & Probability Letters. His research interests include reliability, censoring methodology, ordered data analysis, nonparametric methods, and statistical inference. He is the co-editor of Ordered Data Analysis, Modeling and Health Research Methods, Statistical Modeling for Degradation Data, and Statistical Quality Technologies: Theory and Practice (all published by Springer). He is a Fellow of the American Statistical Association, an elected senior member of IEEE and an elected member of the International Statistical Institute.

Bibliographic information