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:
Holy Cross Note:"Nineteenth printing, and first paperback printing."

MARC

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100 1 |a Cramér, Harald,  |d 1893-1985. 
245 1 0 |a Mathematical methods of statistics /  |c by Harald Cramér. 
260 |a Princeton :  |b Princeton University Press,  |c 1946  |g (1999 printing) 
300 |a xvi, 575 pages :  |b illustrations ;  |c 24 cm. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Princeton landmarks in mathematics and physics 
500 |a "First published in Sweden, Uppsala, 1945, by Almqvist & Wiksells." 
500 |a Includes index. 
504 |a "List of references": pages 561-570. 
505 0 |a 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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