Mathematical Methods of Statistics (PMS-9), Volume 9 / Harald Cramér.

Format:

Book

Author/Creator:

Cramér, Harald, author.

Series:

Princeton landmarks in mathematics and physics.

Princeton Mathematical Series ; 9

Language:

English

Subjects (All):

Mathematical statistics.

Physical Description:

1 online resource (593 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

English

Summary:

In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance.

Contents:

Frontmatter

Preface

Table of Contents

First Part. Mathematical Introduction

Chapters 1-3. Sets of Points

Chapters 4-7. Theory of Measure and Integration in R1.

Chapters 8-9. Theory of Measure and integration in Rn

Chapters 10-12. Various Questions

Second Part. Random Variables and Probability Distributions

Chapters 13-14. Foundations

Chapters 15-20. Variables and distributions in R1

Third Part. Statistical Interference

Chapters 25-26. Generalities

Chapters 27-29. Sampling Distributions

Chapters 30-31. Test of Significance, I.

Chapters 32-34. Theory of Estimation

Chapters 35-37. Test of Significance, II.

Tables 1-2. The Normal Distribution

Table 3. The χ2 -Distribution

Table 4. The t-Distribution

List of References

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400883868

1400883865

OCLC:

950463477