Mathematical Methods of Statistics
Harald Cramér
Princeton University Press

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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.
Harald Cramér was Professor of Actuarial Mathematics and Mathematical Statistics, and director of the Institute of Mathematical Statistics at the University of Stockholm.


TABLE OF CONTENTS:

Pt. 1	Mathematical Introduction	[/td]
	Sets of Points	3[/td]
	Theory of Measure and Integration in R[subscript 1]	19[/td]
	Theory of Measure and Integration in R[subscript n]	76[/td]
	Various Questions	89[/td]
Pt. 2	Random Variables and Probability Distributions	[/td]
	Foundations	137[/td]
	Variables and Distributions in R[subscript 1]	166[/td]
	Variables and Distributions in R[subscript n]	260[/td]
Pt. 3	Statistical Inference	[/td]
	Generalities	323[/td]
	Sampling Distributions	341[/td]
	Tests of Significance, I	416[/td]
	Theory of Estimation	473[/td]
	Tests of Significance, II	525[/td]
Table 1	The Normal Distribution	557[/td]
Table 2	The Normal Distribution	557[/td]
Table 3	The x[superscript 2]-Distribution	559[/td]
Table 4	The t-Distribution	560[/td]
	List of References	561[/td]
	Index	571