Springer Series in Statistics

Life Distributions

Structure of Nonparametric, Semiparametric, and Parametric Families

Authors: Marshall, Albert W., Olkin, Ingram

  • Devoted to the study of univariate distributions appropriate for the analyses of data known to be nonnegative
  • Includes much material from reliability theory in engineering and survival analysis in medicine
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eBook 154,69 €
price for Spain (gross)
  • ISBN 978-0-387-68477-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover 239,19 €
price for Spain (gross)
  • ISBN 978-0-387-20333-1
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 194,38 €
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  • ISBN 978-1-4419-1911-3
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

For over 200 years, practitioners have been developing parametric families of probability distributions for data analysis. More recently, an active development of nonparametric and semiparametric families has occurred. This book includes an extensive discussion of a wide variety of distribution families—nonparametric, semiparametric and parametric—some well known and some not. An all-encompassing view is taken for the purpose of identifying relationships, origins and structures of the various families. A unified methodological approach for the introduction of parameters into families is developed, and the properties that the parameters imbue a distribution are clarified. These results provide essential tools for intelligent choice of models for data analysis. Many of the results given are new and have not previously appeared in print. This book provides a comprehensive reference for anyone working with nonnegative data.
Albert W. Marshall, Professor Emeritus of Statistics at the University of British Colombia, previously served on the faculty of the University of Rochester and on the staff of the Boeing Scientific Research Laboratories. His fundamental contributions to reliability theory have had a profound effect in furthering its development.
 Ingram Olkin is Professor Emeritus of Statistics and Education at Stanford University, after having served on the faculties of Michigan State University and the University of Minnesota. He has made significant contributions in multivariate analysis and in the development of statistical methods in meta-analysis, which has resulted in its use in many applications.
Professors Marshall and Olkin, coauthors of papers on inequalities, multivariate distributions, and matrix analysis, are about to celebrate 50 years of collaborations. Their basic book on majorization has promoted awareness of the subject, and led to new applications in such fields as economics, combinatorics, statistics, probability, matrix theory, chemistry, and political science. 

About the authors

Albert W. Marshall, Professor Emeritus of Statistics at the University of British Colombia, previously served on the faculty of the University of Rochester and on the staff of the Boeing Scientific Research Laboratories. His fundamental contributions to reliability theory have had a profound effect in furthering its development.

Ingram Olkin is Professor Emeritus of Statistics and Education at Stanford University, after having served on the faculties of Michigan State University and the University of Minnesota. He has made significant contributions in multivariate analysis and in the development of statistical methods in meta-analysis, which has resulted in its use in many applications.

Professors Marshall and Olkin, coauthors of papers on inequalities, multivariate distributions, and matrix analysis, are about to celebrate 50 years of collaborations. Their basic book on majorization has promoted awareness of the subject, and led to new applications in such fields as economics, combinatorics, statistics, probability, matrix theory, chemistry, and political science.

Reviews

From the reviews:

"Life Distributions is supported by an extensive list of references, as well as a very helpful author and subject index. This book will become a standard reference on life distributions. Both academics and practitioners will no doubt enjoy it. It can serve as a textbook for presenting distributions and their properties, but more likely it will be used as a kind of encyclopedia for life distributions. " (Mario V. Wüthrich, American Statistical Association, JASA, March 2009, Vol. 104, No. 485)

"Readership: Researchers, graduate students in statistics, mathematics or engineering … . The purpose of the book is to study and classify various distributions for nonnegative random variables. … The book gives an excellent survey of various types of families of distributions and provides a wide range of topics and examples. The proof of the results is given whenever needed. … The value of the book lays in its encyclopedic nature: it gives a survey of hundreds of classifications and ordering methods." (E. Omey, Kwantitatieve Methoden, March, 2008)

"The authors and their collaborators have a distinguished track record of research in this field and the book reflects this. For the student … the book provides a wealth of material both for background facts and for further research. For the working statistician it explains connections between distributions that might be adopted as models for data … ." (Martin Crowder, International Statistical Reviews, Vol. 76 (2), 2008)

"The book under review is concerned mainly with univariate probability distributions for non-negative data. … This is a reasonably well researched, fairly up-to-date book. The book emphasizes the interrelationship between various distributions covered here. … A reader who has had a first course in probability and probability calculus will have no difficulty reading the book." (Gopalakrishnan Asha, Mathematical Reviews, Issue 2009 e)


Table of contents (24 chapters)

  • Preliminaries

    Marshall, Albert W. (et al.)

    Pages 3-45

    Preview Buy Chapter 30,19 €
  • Ordering Distributions: Descriptive Statistics

    Marshall, Albert W. (et al.)

    Pages 47-77

    Preview Buy Chapter 30,19 €
  • Mixtures

    Marshall, Albert W. (et al.)

    Pages 79-94

    Preview Buy Chapter 30,19 €
  • Nonparametric Families: Densities and Hazard Rates

    Marshall, Albert W. (et al.)

    Pages 97-136

    Preview Buy Chapter 30,19 €
  • Nonparametric Families: Origins in Reliability Theory

    Marshall, Albert W. (et al.)

    Pages 137-193

    Preview Buy Chapter 30,19 €

Buy this book

eBook 154,69 €
price for Spain (gross)
  • ISBN 978-0-387-68477-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 239,19 €
price for Spain (gross)
  • ISBN 978-0-387-20333-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 194,38 €
price for Spain (gross)
  • ISBN 978-1-4419-1911-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Life Distributions
Book Subtitle
Structure of Nonparametric, Semiparametric, and Parametric Families
Authors
Series Title
Springer Series in Statistics
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-68477-2
DOI
10.1007/978-0-387-68477-2
Hardcover ISBN
978-0-387-20333-1
Softcover ISBN
978-1-4419-1911-3
Series ISSN
0172-7397
Edition Number
1
Number of Pages
XX, 785
Topics