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020 _a9780387749785
024 7 _a10.1007/978-0-387-74978-5
_2doi
035 _a978-0-387-74978-5
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.5
090 _amg
100 1 _aKosorok, Michael R
_99178
245 1 0 _aIntroduction to Empirical Processes and Semiparametric Inference
_h[electronic resource]/
_cby Michael R. Kosorok.
260 _aNew York:
_bSpringer New York,
_c2008.
300 _bdigital.
490 0 _aSpringer Series in Statistics,
_x0172-7397
505 0 _aIntroduction -- An Overview of The Empirical Processes -- Overview of Semiparametric Inference -- Case Studies I -- Introduction to Empirical Processes -- Preliminiaries for Empirical Processes -- Stochastic Convergence -- Empirical Process Methods -- Entropy Calculations -- Bootstrapping Empirical Processes -- Additional Empirical Process Results -- The Functional Delta Method -- Z-Estimators -- M-Estimators -- Case Studies II -- Introduction To Semiparametric Inference -- Seimparametric Models and Efficiency -- Efficient Inference for Fininte-Dimensional Parameters -- Efficient Inference for Infinite-Dimensional Parameters -- Semiparametric M-Estimators -- Case Studies III .
520 _aThis book provides a self-contained, linear, and unified introduction to empirical processes and semiparametric inference. These powerful research techniques are surprisingly useful for developing methods of statistical inference for complex models and in understanding the properties of such methods. The targeted audience includes statisticians, biostatisticians, and other researchers with a background in mathematical statistics who have an interest in learning about and doing research in empirical processes and semiparametric inference but who would like to have a friendly and gradual introduction to the area. The book can be used either as a research reference or as a textbook. The level of the book is suitable for a second year graduate course in statistics or biostatistics, provided the students have had a year of graduate level mathematical statistics and a semester of probability.The book consists of three parts. The first part is a concise overview of all of the main concepts covered in the book with a minimum of technicalities. The second and third parts cover the two respective main topics of empirical processes and semiparametric inference in depth. The connections between these two topics is also demonstrated and emphasized throughout the text. Each part has a final chapter with several case studies that use concrete examples to illustrate the concepts developed so far. The last two parts also each include a chapter which covers the needed mathematical preliminaries. Each main idea is introduced with a non-technical motivation, and examples are given throughout to illustrate important concepts. Homework problems are also included at the end of each chapter to help the reader gain additional insights.Michael R. Kosorok is Professor and Chair, Department of Biostatistics, and Professor, Department of Statistics and Operations Research, at the University of North Carolina at Chapel Hill. His research has focused on the application of empirical processes and semiparametric inference to statistics and biostatistics. He is a Fellow of both the American Statistical Association and the Institute of Mathematical Statistics. He is an Associate Editor of the Annals of Statistics, Electronic Journal of Statistics, International Journal of Biostatistics, Statistics and Probability Letters, and Statistics Surveys .
650 0 _aStatistics.
_943790
650 0 _aMathematical statistics
_943558
697 _aMatemáticas Gerais-
_x(inclusive alguns textos elementares sobre assuntos específicos)
_923752
710 1 _aSpringerLink (Online service).
_98857
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387749778
830 0 _aSpringer series in statistics.
_944309
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-74978-5
942 _2impa
_cEBK
999 _aKOSOROK, Michael R. <b> Introduction to Empirical Processes and Semiparametric Inference. </b> New York: Springer New York, 2008. (Springer Series in Statistics, 0172-7397). ISBN 9780387749785. Disponível em: <http://dx.doi.org/10.1007/978-0-387-74978-5 >
_c38490
_d38490