product iamge

Mathematical methods of statistics

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

Author(s): Harald Cramer
Publisher: Princeton
Year: 1999

Language: English

Mathematical methods of statistics
Preface
Table of Contents
Chapters 1-3. Sets of Points
1. General properties of sets
2. Linear point sets
3. Point sets in n dimensions
Chapters 4-7. Theory of Measure and Integration in R1.
4. The Lebesgue measure of a linear point set
5. The Lebesgue integral for functions of one variable
6. Non-negative additive set functions in R1
7. The Lebesgue-Stieltjes integral for functions of one variable
Chapters 8-9. Theory of Measure and integration in Rn
8. Lebsgue measure and other additive set functions in Rn
9. The Lebesgue-Stieltjes integral for functions of n variables
Chapters 10-12. Various Questions
10. Fourier integrals
11. Matrices, determinants and quadratic forms
12. Miscellaneous complements
Chapters 13-14. Foundations
13. Statistics and probability
14. Fundamental definitions and axioms
Chapters 15-20. Variables and distributions in R1
15. General properties
16. Various discrete distributions
17. The normal distribution
18. Various distributions related to the normal
19. Further continuous distributions
20. Some convergence theorems
Chapters 21-24 Variables and distributions in Rn
21. The two-dimensional case
22. General properties of distributions in Rn
23. Regression and correlation in n variables
24. The normal distribution
Chapters 25-26. Generalities
25. Preliminary notions on sampling
26. Statistical inference
Chapters 27-29. Sampling Distributions
27. Characteristics of sampling distributions
28. Asymptotic properties of sampling distributions
29. Exact sampling distributions
Chapters 30-31. Test of Significance I.
30. Tests of goodness of fit and allied tests
31. Tests of significance for parameters
Chapters 32-34. Theory of Estimation
32. Classification of estimates
33. Methods of estimation
34. Confidence regions
Chapters 35-37. Test of Significance II.
35. General theory of testing statistical hypotheses
36. Analysis of variance
Tables 1-2. The Normal Distribution
Table 3. The 2 -Distribution
Table 4. The t-Distribution
List of References
Index