# Mathematical Statistics

• B. L. van der Waerden
Book

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

1. Front Matter
Pages N1-XI
2. B. L. van der Waerden
Pages 1-2
3. B. L. van der Waerden
Pages 3-23
4. B. L. van der Waerden
Pages 24-51
5. B. L. van der Waerden
Pages 52-66
6. B. L. van der Waerden
Pages 67-88
7. B. L. van der Waerden
Pages 89-107
8. B. L. van der Waerden
Pages 108-126
9. B. L. van der Waerden
Pages 127-150
10. B. L. van der Waerden
Pages 151-184
11. B. L. van der Waerden
Pages 185-211
12. B. L. van der Waerden
Pages 212-224
13. B. L. van der Waerden
Pages 225-266
14. B. L. van der Waerden
Pages 267-300
15. B. L. van der Waerden
Pages 301-338
16. B. L. van der Waerden
Pages 339-358
17. Back Matter
Pages 359-371

### Introduction

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.

### Keywords

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

#### Authors and affiliations

• B. L. van der Waerden
• 1
1. 1.Mathematisches InstitutUniversität ZürichSchweiz

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-662-22137-2
• Copyright Information Springer-Verlag Berlin Heidelberg 1969
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages
• Print ISBN 978-3-662-22139-6
• Online ISBN 978-3-662-22137-2
• Series Print ISSN 0072-7830
• Buy this book on publisher's site