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Extremal Families and Systems of Sufficient Statistics

  • Book
  • © 1988

Overview

Authors:
  1. Steffen L. Lauritzen

    1. Department of Mathematics and Computer Science, Institute of Electronic Systems, Aalborg University, Aalborg, Denmark

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Part of the book series: Lecture Notes in Statistics (LNS, volume 49)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XV
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  2. The Case of a Single Experiment and Finite Sample Space

    • Steffen L. Lauritzen
    Pages 1-21

  3. Simple Repetitive Structures of Product Type.Discrete Sample Spaces

    • Steffen L. Lauritzen
    Pages 22-129

  4. Repetitive Structures of Power Type. Discrete Sample Spaces

    • Steffen L. Lauritzen
    Pages 130-186

  5. General Repetitive Structures of Polish Spaces. Projective Statistical Fields

    • Steffen L. Lauritzen
    Pages 187-259

  6. Back Matter

    Pages 260-268
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Keywords

About this book

The pOint of view behind the present work is that the connection between a statistical model and a statistical analysis-is a dua­ lity (in a vague sense). In usual textbooks on mathematical statistics it is often so that the statistical model is given in advance and then various in­ ference principles are applied to deduce the statistical ana­ lysis to be performed. It is however possible to reverse the above procedure: given that one wants to perform a certain statistical analysis, how can this be expressed in terms of a statistical model? In that sense we think of the statistical analysis and the stati­ stical model as two ways of expressing the same phenomenon, rather than thinking of the model as representing an idealisation of "truth" and the statistical analysis as a method of revealing that truth to the scientist. It is not the aim of the present work to solve the problem of giving the correct-anq final mathematical description of the quite complicated relation between model andanalysis. We have rather restricted ourselves to describe a particular aspect of this, formulate it in mathematical terms, and then tried to make a rigorous and consequent investigation of that mathematical struc­ ture.

Authors and Affiliations

  • Department of Mathematics and Computer Science, Institute of Electronic Systems, Aalborg University, Aalborg, Denmark

    Steffen L. Lauritzen

Bibliographic Information

  • Book Title: Extremal Families and Systems of Sufficient Statistics

  • Authors: Steffen L. Lauritzen

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-1023-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-0-387-96872-8Published: 28 November 1988

  • eBook ISBN: 978-1-4612-1023-8Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XV, 268

  • Topics: Applications of Mathematics

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