000 04508nam a22004095i 4500
001 978-0-387-74978-5
003 DE-He213
005 20250710084021.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387749785
_a99780387749785
024 7 _a10.1007/978-0-387-74978-5
_2doi
082 0 4 _a519.5
_223
100 1 _aKosorok, Michael R.
_eauthor.
245 1 0 _aIntroduction to Empirical Processes and Semiparametric Inference
_h[recurso electrónico] /
_cby Michael R. Kosorok.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Statistics,
_x0172-7397
505 0 _aOverview -- An Overview of Empirical Processes -- Overview of Semiparametric Inference -- Case Studies I -- Empirical Processes -- to Empirical Processes -- Preliminaries 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 -- Semiparametric Inference -- to Semiparametric Inference -- Preliminaries for Semiparametric Inference -- Semiparametric Models and Efficiency -- Efficient Inference for Finite-Dimensional Parameters -- Efficient Inference for Infinite-Dimensional Parameters -- Semiparametric M-Estimation -- 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.
650 0 _aMATHEMATICAL STATISTICS.
650 1 4 _aSTATISTICS.
650 2 4 _aSTATISTICAL THEORY AND METHODS.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387749778
830 0 _aSpringer Series in Statistics,
_x0172-7397
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-74978-5
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c58653
_d58653