Mathematical methods of statistics / by Harald Cramér.

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Bibliographic Details
Main Author:	Cramér, Harald, 1893-1985
Format:	Book
Language:	English
Published:	Princeton : Princeton University Press, 1946
Series:	Princeton landmarks in mathematics and physics.
Subjects:	Mathematical statistics.
Holy Cross Note:	"Nineteenth printing, and first paperback printing."

Table of Contents:

pt. I. 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 R[subscript n]
The Lebesgue-Stieltjes integral for functions of n variables
Fourier integrals
Matrices, determinants and quadratic forms
Miscellaneous complements
pt. II. Random 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 continuous distributions
Some convergence theorems
The two-dimensional case
General properties of distributions in R[subscript n]
Regression and correlation in n variables
The normal distribution
pt. III. Statistical 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
Analysis of variance
Some regression problems.

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