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Titlebook: A Course in Mathematical Statistics and Large Sample Theory; Rabi Bhattacharya,Lizhen Lin,Victor Patrangenaru Textbook 2016 Springer Scien

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期刊全称A Course in Mathematical Statistics and Large Sample Theory
影响因子2023Rabi Bhattacharya,Lizhen Lin,Victor Patrangenaru
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发行地址Large Sample Theory with many worked examples, numerical calculations, and simulations to illustrate theory.Appendices provide ready access to a number of standard results, with many proofs.Solutions
学科分类Springer Texts in Statistics
图书封面Titlebook: A Course in Mathematical Statistics and Large Sample Theory;  Rabi Bhattacharya,Lizhen Lin,Victor Patrangenaru Textbook 2016 Springer Scien
影响因子This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduate course in statistics, an upper division course in analysis, and some acquaintance with measure theoretic probability. It provides a rigorous presentation of the core of mathematical statistics..Part I of this book constitutes a one-semester course on basic parametric mathematical statistics. Part II deals with the large sample theory of statistics - parametric and nonparametric, and its contents may be covered in one semester as well. Part III provides brief accounts of a number of topics of current interest for practitioners and other disciplines whose work involves statistical methods..
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Textbook 2016II deals with the large sample theory of statistics - parametric and nonparametric, and its contents may be covered in one semester as well. Part III provides brief accounts of a number of topics of current interest for practitioners and other disciplines whose work involves statistical methods..
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Afrika in der Globalisierungsfalleial models one may similarly obtain UMP unbiased tests in the presence of nuisance parameters. For statistical models which are invariant under a group of transformations all reasonable tests should be invariant under the group. The theory of UMP tests among all invariant tests is developed for linear models.
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https://doi.org/10.1007/978-3-531-91169-4in some detail, especially to illustrate various admissible estimators. The . (MLE) and the . are discussed briefly. Although the MLE is generally regarded as the most important method of estimation, its asymptotic optimality properties are best described in Part II on large sample theory.
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https://doi.org/10.1007/978-3-531-91169-4ut losing any information. More importantly, according to Rao–Blackwell-, Lehmann–Scheffé-theorems, statistical inference procedures must be based on such statistics for purposes of efficiency or optimality.
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