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Mathematical Statistics

  • Book
  • © 1969

Overview

Authors:
  1. B. L. Waerden

    1. Mathematisches Institut, Universität Zürich, Schweiz

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 156)

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Table of contents (15 chapters)

  1. Front Matter

    Pages N1-XI
    Download chapter PDF

  2. Introduction

    • B. L. van der Waerden
    Pages 1-2

  3. General Foundations

    • B. L. van der Waerden
    Pages 3-23

  4. Probabilities and Frequencies

    • B. L. van der Waerden
    Pages 24-51

  5. Mathematical Tools

    • B. L. van der Waerden
    Pages 52-66

  6. Empirical Determination of Distribution Functions, Expectations, and Standard Deviations

    • B. L. van der Waerden
    Pages 67-88

  7. Fourier Integrals and Limit Theorems

    • B. L. van der Waerden
    Pages 89-107

  8. Gauss Theory of Errors and Student’s Test

    • B. L. van der Waerden
    Pages 108-126

  9. Method of Least Squares

    • B. L. van der Waerden
    Pages 127-150

  10. Estimation of Unknown Constants

    • B. L. van der Waerden
    Pages 151-184

  11. Inferences Based on Observed Frequencies

    • B. L. van der Waerden
    Pages 185-211

  12. Bio-Assay

    • B. L. van der Waerden
    Pages 212-224

  13. Hypothesis Testing

    • B. L. van der Waerden
    Pages 225-266

  14. Order Tests

    • B. L. van der Waerden
    Pages 267-300

  15. Correlation

    • B. L. van der Waerden
    Pages 301-338

  16. Tables

    • B. L. van der Waerden
    Pages 339-358

  17. Back Matter

    Pages 359-371
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Keywords

About this book

Ever since my days as a student, economists, doctors, physiologists, biologists, and engineers have come to me with queries of a statistical nature. This book is the product of my long interest in practical solutions to such problems. Study of the literature and my own ideas have repeat­ edly led me to improved methods, which will be established here and applied to instructive examples taken from the natural and social sciences. Thus, I hope to help the reader avoid the many fruitless direc­ tions in which I worked at first. The examples are not artificially con­ structed from theoretical considerations but are instead taken from real situations; consequently, many of the examples require detailed explana­ tion. The presentation of the basic mathematical concepts is, I hope, as brief as possible without becoming incomprehensible. Some rather long theoretical arguments have been necessary, but, whenever possible, references for the more difficult proofs have been made to good text­ books already in existence. There would be no point in developing again the mathematical theories which have been presented clearly and in detail by Kolmogorov, Caratheodory, and Cramer.

Authors and Affiliations

  • Mathematisches Institut, Universität Zürich, Schweiz

    B. L. Waerden

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