Mathematical Statistics

1. Front Matter

   Pages N1-XI

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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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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.

• Mathematica
• Natural
• Rang
• Statistica
• Statistik
• correlation
• eXist
• mathematical statistics
• presentation
• proof
• standard deviation
• statistics

• Mathematisches Institut, Universität Zürich, Schweiz

  B. L. Waerden

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