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Mathematical methods of statistics
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton,
Princeton University Press,
1946.
|
| Colección: | Princeton mathematical series ;
9. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | JSTOR_ocn767556225 | ||
| 003 | OCoLC | ||
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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. | ||
| 300 | |a 1 online resource (xvi, 575 pages) |b tables, diagrams | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a [Princeton mathematical series ... |v 9] | |
| 500 | |a "First published in Sweden, Uppsala, 1945, by Almqvist & Wiksells." | ||
| 504 | |a "List of references": pages 561-570 | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 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. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Mathematical statistics. | |
| 650 | 6 | |a Statistique mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Mathematical statistics. |2 fast |0 (OCoLC)fst01012127 | |
| 650 | 7 | |a Statistik |2 gnd | |
| 650 | 1 | 7 | |a Statistiek. |2 gtt |
| 776 | 0 | 8 | |i Print version: |a Cramér, Harald, 1893-1985. |t Mathematical methods of statistics. |d Princeton, Princeton University Press, 1946 |w (DLC)a 46005922 |w (OCoLC)528245 |
| 830 | 0 | |a Princeton mathematical series ; |v 9. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1bpm9r4 |z Texto completo |
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