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|a Princeton Univ. Libr./ICU
|b eng
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|a Cramér, Harald,
|d 1893-1985.
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|a Mathematical methods of statistics /
|c by Harald Cramér.
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|a Princeton :
|b Princeton University Press,
|c 1946
|g (1999 printing)
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300 |
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|a xvi, 575 pages :
|b illustrations ;
|c 24 cm.
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|a text
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|a unmediated
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|a volume
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490 |
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|a Princeton landmarks in mathematics and physics
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500 |
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|a "First published in Sweden, Uppsala, 1945, by Almqvist & Wiksells."
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500 |
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|a Includes index.
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504 |
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|a "List of references": pages 561-570.
|
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0 |
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|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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|a "Nineteenth printing, and first paperback printing."
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|a Mathematical statistics.
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|a Princeton landmarks in mathematics and physics.
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