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Statistical Inference

Theory and Practice

  • Tadeusz Bromek
  • Elżbieta Pleszczyńska

Part of the Theory and Decision Library book series (TDLB, volume 17)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Introduction

    1. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 1-10
  3. Formalization of statistical problems

    1. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 11-25
    2. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 26-52
  4. Selected theoretical topics

    1. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 53-85
    2. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 86-105
    3. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 106-136
  5. Selected practical problems

    1. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 137-159
    2. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 160-194
    3. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 195-222
    4. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 223-244
    5. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 245-265
    6. Tadeusz Bromek, Elżbieta Pleszczyńska
      Pages 266-282
  6. Back Matter
    Pages 283-312

About this book

Introduction

Use and misuse of statistics seems to be the signum temporis of past decades. But nowadays this practice seems slowly to be wearing away, and common sense and responsibility recapturing their position. It is our contention that little by little statistics should return to its starting point, i.e., to formalizing and analyzing empirical phenomena. This requires the reevalu­ ation of many traditions and the rejection of many myths. We hope that our book would go some way towards this aim. We show the sharp conflict between what is needed and what is feasible. Moreover, we show how slender are the links between theory and practice in statistical inference, links which are sometimes no more than mutual inspiration. In Part One we present the consecutive stages of formalization of statistical problems, i.e., the description of the experiment, the presentation of the aim of the investigation, and of the constraints put upon the decision rules. We stress the fact that at each of these stages there is room for arbitrariness. We prove that the links between the real problem and its formal counterpart are often so weak that the solution of the formal problem may have no rational interpretation at the practical level. We give a considerable amount of thought to the reduction of statistical problems.

Keywords

Estimator Observable Probability distribution Random variable Survival analysis algorithm calculus genetics model statistics

Editors and affiliations

  • Tadeusz Bromek
    • 1
  • Elżbieta Pleszczyńska
    • 1
  1. 1.Institute of Computer Science of the Polish Academy of SciencesPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0575-7
  • Copyright Information Springer Science+Business Media B.V. 1991
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6746-1
  • Online ISBN 978-94-009-0575-7
  • Buy this book on publisher's site