Mathematical statistics : basics ideas and selected topics /
Volume 1 presents fundamental, classical statistical concepts at the doctorate level. It covers estimation, prediction, testing, confidence sets, Bayesian analysis, and the general approach of decision theory. This edition gives careful proofs of major results and explains how the theory sheds light...
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| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fl. :
CRC Press,
c2015
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| Edition: | 2nd ed. |
| Series: | texts in statistical science series
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| Subjects: | |
| Online Access: | https://ar1lib.org/book/2821856/12515c Información sobre P. J. Bickel Información sobre K J. Doksum |
MARC
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| 100 | 1 | |9 15264 |a Bickel, Peter J. |d 1940- |q (Peter John), | |
| 245 | 1 | 0 | |a Mathematical statistics : |b basics ideas and selected topics / |c Peter J. Bickel, Kjell A. Docsum. |
| 250 | |a 2nd ed. | ||
| 260 | |a Boca Raton, Fl. : |b CRC Press, |c c2015 | ||
| 300 | |a xxiv, 556 p. | ||
| 490 | 0 | |a texts in statistical science series | |
| 505 | 0 | |a Preface -- 1. Statistical models, goals and performance criteria -- 2. Methods of estimation -- 3. Measures of performance -- 4. Testing and confidence regions -- 5. Asymptotic approximations -- 6. Inference in the multiparameter case -- A review of basic probability theory -- Additional topics in probability and analysis -- Tables. | |
| 520 | 3 | |a Volume 1 presents fundamental, classical statistical concepts at the doctorate level. It covers estimation, prediction, testing, confidence sets, Bayesian analysis, and the general approach of decision theory. This edition gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods. The book first discusses non- and semiparametric models before covering parameters and parametric models. It then offers a detailed treatment of maximum likelihood estimates (MLEs) and examines the theory of testing and confidence regions, including optimality theory for estimation and elementary robustness considerations. It next presents basic asymptotic approximations with one-dimensional parameter models as examples. The book also describes inference in multivariate (multiparameter) models, exploring asymptotic normality and optimality of MLEs, Wald and Rao statistics, generalized linear models, and more. | |
| 526 | 0 | |a Bibliografía de la asignatura Teoría Estadística I de la Maestría en Estadística Aplicada. | |
| 650 | 4 | |9 1599 |a ESTADISTICA MATEMATICA | |
| 700 | 1 | |9 15265 |a Doksum, Kjell A. | |
| 856 | 4 | |u https://ar1lib.org/book/2821856/12515c | |
| 856 | 4 | |u https://en.wikipedia.org/wiki/Peter_J._Bickel |y Información sobre P. J. Bickel | |
| 856 | 4 | |u http://pages.stat.wisc.edu/~doksum/ |y Información sobre K J. Doksum | |
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