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A graduate course on statistical inf...
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Babu, Gutti Jogesh, (1949-)
A graduate course on statistical inference /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A graduate course on statistical inference /Bing Li, G. Jogesh Babu.
作者:
Li, Bing,
其他作者:
Babu, Gutti Jogesh,
出版者:
New York, NY :Springer,c2019.
面頁冊數:
xii, 379 p. :ill. ;25 cm.
標題:
Mathematical statistics.
ISBN:
9781493997596 (hbk.) :
A graduate course on statistical inference /
Li, Bing,1960-
A graduate course on statistical inference /
Bing Li, G. Jogesh Babu. - New York, NY :Springer,c2019. - xii, 379 p. :ill. ;25 cm. - Springer texts in statistics,1431-875X. - Springer texts in statistics..
Includes bibliographical references and index.
1. Probability and Random Variables -- 2. Classical Theoryof Estimation -- 3. Testing Hypotheses in the Presence of Nuisance Parameters -- 4. Testing Hypotheses in the Presence of Nuisance Parameters -- 5. Basic Ideas of Bayesian Methods -- 6. Bayesian Inference -- 7. AsymptoticTools and Projections -- 8. Asymptotic Theory for Maximum Likelihood Estimation -- 9. Estimating Equations -- 10. Convolution Theorem and Asymptotic Efficiency -- 11. Asymptotic Hypothesis Test -- References -- Index
This textbook offers an accessible and comprehensive overview of statistical estimation and inference that reflects current trends in statistical research. It draws from three main themes throughout: the finite-sample theory, the asymptotic theory, and Bayesian statistics. The authors have included a chapter on estimating equations as a means to unify a range of useful methodologies, including generalized linear models, generalized estimation equations, quasi-likelihood estimation, and conditional inference. They also utilize astandardized set of assumptions and tools throughout, imposing regular conditions and resulting in a more coherent and cohesive volume. Written for the graduate-level audience, this text can be used in a one-semester ortwo-semester course
ISBN: 9781493997596 (hbk.) :NT$2978Subjects--Topical Terms:
181877
Mathematical statistics.
LC Class. No.: QA276 / L5 2019
Dewey Class. No.: 519.54
A graduate course on statistical inference /
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1. Probability and Random Variables -- 2. Classical Theoryof Estimation -- 3. Testing Hypotheses in the Presence of Nuisance Parameters -- 4. Testing Hypotheses in the Presence of Nuisance Parameters -- 5. Basic Ideas of Bayesian Methods -- 6. Bayesian Inference -- 7. AsymptoticTools and Projections -- 8. Asymptotic Theory for Maximum Likelihood Estimation -- 9. Estimating Equations -- 10. Convolution Theorem and Asymptotic Efficiency -- 11. Asymptotic Hypothesis Test -- References -- Index
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