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Mathematical methods of statistics / by Harald Cramér.


Princeton : Princeton University Press, 1946.
ISBN 0691080046, 9780691080048

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Subjects Mathematical statistics.
Statistiek.
Statistik.
Statistique mathématique.
Series Princeton mathematical series ; 9.
Description xvi, 575 pages : including tables, diagrams ; 24 cm.
Copyright Date 1946.
Notes "First published in Sweden, Uppsala, 1945, by Almqvist & Wiksells."
Includes index.
"List of references": pages 561-570.
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 -- part 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 -- part 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.
Network Numbers (OCoLC)528245
(OCoLC)ocm00528245
WorldCat Search OCLC WorldCat
WorldCat Identities Cramér, Harald, 1893-1985.
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