Mathematical Methods of Statistics. (PMS-9) - Brossura

Cramer, Harald

Brossura

ISBN 10: 0691005478 ISBN 13: 9780691005478

Casa editrice: Princeton University Press, 1999

Riassunto

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.

Su questo libro

L'autore:

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

Contenuti:

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

Su questa edizione

• Editore: Princeton University Press
• Data di pubblicazione: 1999
• ISBN 10: 0691005478
• ISBN 13: 9780691005478
• Rilegatura: Paperback
• Numero di pagine: 592