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  • Book
  • © 2013

Statistical Decision Theory

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  • A radical rethinking of how elementary inferences should be made in statistics

  • Exercises and suggestions for further reading are provided

  • Suitable as textbook for graduate courses in Statistics

  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)

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  • ISBN: 978-3-642-40433-7
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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
  2. Introduction

    • Nicholas T. Longford
    Pages 1-15
  3. Estimating the Mean

    • Nicholas T. Longford
    Pages 17-31
  4. Estimating the Variance

    • Nicholas T. Longford
    Pages 33-47
  5. The Bayesian Paradigm

    • Nicholas T. Longford
    Pages 49-64
  6. Data from Other Distributions

    • Nicholas T. Longford
    Pages 65-77
  7. Classification

    • Nicholas T. Longford
    Pages 79-93
  8. Small-Area Estimation

    • Nicholas T. Longford
    Pages 95-109
  9. Study Design

    • Nicholas T. Longford
    Pages 111-119
  10. Back Matter

    Pages 121-124

About this book

This monograph presents a radical rethinking of how elementary inferences should be made in statistics, implementing a comprehensive alternative to hypothesis testing in which the control of the probabilities of the errors is replaced by selecting the course of action (one of the available options) associated with the smallest expected loss.

Its strength is that the inferences are responsive to the elicited or declared consequences of the erroneous decisions, and so they can be closely tailored to the client’s perspective, priorities, value judgments and other prior information, together with the uncertainty about them.

Keywords

  • decision theory
  • equilibrium priors
  • small-area estimation

Reviews

From the book reviews:

“The definition of statistics assumed in the book is that of making decisions in the presence of uncertainty and with limited resources. … Although intended to communicate the relevance, feasibility and value of decision theory for ‘everyday’ (statistical) professionals, the book can also be of value as a reference in a graduate course in statistics.” (Heleno Bolfarine, Mathematical Reviews, September, 2014)

Authors and Affiliations

  • Universitat Pompeu Fabra Dept. of Economics and Business, Barcelona, Spain

    Nicholas T. Longford

About the author

Nick Longford received his doctorate in Statistics from Leeds University, England, in 1982. Since 2004 he has served as the Director of SNTL Statistics Research and Consulting in Barcelona, Spain. He has been a visitor at several academic institutions, most recently CEPS/INSTEAD in Esch, Luxembourg (2011, 2012 and 2013), Universidad de Valle, Colombia (2011 and 2013), la Sapienza, Rome, Italy (2009 and 2010) and Universitat Pompeu Fabra, Barcelona, Spain (intermittently since 2005). His previous monographs with Springer have dealt with methods for large-scale educational assessment (1995), missing data and small-area estimation (2005), and statistics curriculum for the social sciences (2008). His journal articles have been published in the Journals of the Royal Statistical Society, Statistics in Medicine, Computational Statistics and Data Analysis, Statistica Neerlandica, Survey Methodology, Journal of Educational and Behavioral Statistics, Journal of Applied Statistics and others.

Bibliographic Information

  • Book Title: Statistical Decision Theory

  • Authors: Nicholas T. Longford

  • Series Title: SpringerBriefs in Statistics

  • DOI: https://doi.org/10.1007/978-3-642-40433-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s) 2013

  • Softcover ISBN: 978-3-642-40432-0

  • eBook ISBN: 978-3-642-40433-7

  • Series ISSN: 2191-544X

  • Series E-ISSN: 2191-5458

  • Edition Number: 1

  • Number of Pages: X, 124

  • Number of Illustrations: 23 b/w illustrations

  • Topics: Statistics

Buying options

eBook
USD 39.99
Price excludes VAT (USA)
  • ISBN: 978-3-642-40433-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 54.99
Price excludes VAT (USA)