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

• Superior document: Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
• VerfasserIn: Cramér, Harald,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1946
• Year of Publication: 2016
• Language: English
• Series: Princeton Mathematical Series ; 26
• Physical Description: 1 online resource (575 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400883868; 9783110501063; 9783110442496
• DOI: 10.1515/9781400883868
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Harald Cramér.

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.