Cramer H. Mathematical Methods of Statistics

Asis Publishing House, 1962. — 590 p.Mathematical Introduction
General properties of sets
Linear point sets
Point sets in n dimensions
The Lebesgue measure of a linear point set
The Lebesgue integral for functions of one variable
Non-negative additive set functions in R1
The Lebesgue-Stieltjes integral for functions of one variable
Lebesgue measure and other additive set functions in Rn
The Lebesgue-Stieltjes integral for functions of n variables
Fourier integrals
Matrices, determinants and quadratic forms
Miscellaneous complementsRandom variables and probability distributions
Statistics and probability
Fundamental definitions and axioms
General properties
Various discrete distributions
The normal distribution
Various distributions related to the normal
Further coninuous distributions
Some convergence theorems
The two-dimensional case
General properties of distributions in Rn
Regression and corellation in n variables
The normal distributionStatistical inference
Preliminary notions on sampling
Statistical inference
Characteristics of sampling distributions
Asymptotic properties of sampling distributions
Exact sampling distributions
Tests of goodness of fit and allied tests
Tests of significance for parameters
Classification of estimates
Methods of estimation
Confidence regions
General theory of testing statistical hypotheses
Analisys of variance
Some regression problemsTable
List of References
Index