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Main Title Mathematical methods of statistics /
Author Cramér, Harald, ; Cram er, Harald
Publisher Princeton University Press,
Year Published 1946
OCLC Number 00528245
ISBN 0691080046; 9780691080048
Subjects Mathematical statistics ; Statistiek ; Statistik ; Mathematics
Additional Subjects Mathematical statistics
Internet Access
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https://search.amphilsoc.org/collections/view?docId=ead/Mss.Ms.Coll.19-ead.xml;query=goldstine;brand=default
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EKBM  QA276.C72 1946 Research Triangle Park Library/RTP, NC 02/15/2002
Collation xvi, 575 pages : including tables, diagrams ; 24 cm.
Notes
"First published in Sweden, Uppsala, 1945, by Almqvist & Wiksells." Includes index. "List of references": pages 561-570.
Contents Notes
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 Rb1s -- 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.