Seminar on Empirical Processes
Author: P. Gaenssler
Publisher: Birkhäuser
Published: 2013-11-21
Total Pages: 117
ISBN-13: 3034862695
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Author: P. Gaenssler
Publisher: Birkhäuser
Published: 2013-11-21
Total Pages: 117
ISBN-13: 3034862695
DOWNLOAD EBOOKAuthor: David Pollard
Publisher: IMS
Published: 1990
Total Pages: 100
ISBN-13: 9780940600164
DOWNLOAD EBOOKAuthor: Peter Gänssler
Publisher:
Published: 1987
Total Pages: 110
ISBN-13: 9780817618063
DOWNLOAD EBOOKAuthor: P. Gaenssler
Publisher:
Published: 2014-09-01
Total Pages: 120
ISBN-13: 9783034862707
DOWNLOAD EBOOKAuthor: A. W. van der Vaart
Publisher: Springer Nature
Published: 2023-07-11
Total Pages: 693
ISBN-13: 3031290402
DOWNLOAD EBOOKThis book provides an account of weak convergence theory, empirical processes, and their application to a wide variety of problems in statistics. The first part of the book presents a thorough treatment of stochastic convergence in its various forms. Part 2 brings together the theory of empirical processes in a form accessible to statisticians and probabilists. In Part 3, the authors cover a range of applications in statistics including rates of convergence of estimators; limit theorems for M− and Z−estimators; the bootstrap; the functional delta-method and semiparametric estimation. Most of the chapters conclude with “problems and complements.” Some of these are exercises to help the reader’s understanding of the material, whereas others are intended to supplement the text. This second edition includes many of the new developments in the field since publication of the first edition in 1996: Glivenko-Cantelli preservation theorems; new bounds on expectations of suprema of empirical processes; new bounds on covering numbers for various function classes; generic chaining; definitive versions of concentration bounds; and new applications in statistics including penalized M-estimation, the lasso, classification, and support vector machines. The approximately 200 additional pages also round out classical subjects, including chapters on weak convergence in Skorokhod space, on stable convergence, and on processes based on pseudo-observations.
Author: Eric Alexander Cator
Publisher: IMS
Published: 2007
Total Pages: 268
ISBN-13: 9780940600713
DOWNLOAD EBOOKAuthor: Forrest Shull
Publisher: Springer Science & Business Media
Published: 2007-11-21
Total Pages: 393
ISBN-13: 1848000448
DOWNLOAD EBOOKThis book gathers chapters from some of the top international empirical software engineering researchers focusing on the practical knowledge necessary for conducting, reporting and using empirical methods in software engineering. Topics and features include guidance on how to design, conduct and report empirical studies. The volume also provides information across a range of techniques, methods and qualitative and quantitative issues to help build a toolkit applicable to the diverse software development contexts
Author: Miklos Csörgö
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 177
ISBN-13: 1461564204
DOWNLOAD EBOOKMik16s Cs6rgO and David M. Mason initiated their collaboration on the topics of this book while attending the CBMS-NSF Regional Confer ence at Texas A & M University in 1981. Independently of them, Sandor Cs6rgO and Lajos Horv~th have begun their work on this subject at Szeged University. The idea of writing a monograph together was born when the four of us met in the Conference on Limit Theorems in Probability and Statistics, Veszpr~m 1982. This collaboration resulted in No. 2 of Technical Report Series of the Laboratory for Research in Statistics and Probability of Carleton University and University of Ottawa, 1983. Afterwards David M. Mason has decided to withdraw from this project. The authors wish to thank him for his contributions. In particular, he has called our attention to the reverse martingale property of the empirical process together with the associated Birnbaum-Marshall inequality (cf.,the proofs of Lemmas 2.4 and 3.2) and to the Hardy inequality (cf. the proof of part (iv) of Theorem 4.1). These and several other related remarks helped us push down the 2 moment condition to EX
Author: Evarist Giné
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 491
ISBN-13: 1461213584
DOWNLOAD EBOOKHigh dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.
Author: Karl-Heinz Jöckel
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 231
ISBN-13: 3642488501
DOWNLOAD EBOOKThis book contains 30 selected, refereed papers from an in- ternational conference on bootstrapping and related techni- ques held in Trier 1990. Thepurpose of the book is to in- form about recent research in the area of bootstrap, jack- knife and Monte Carlo Tests. Addressing the novice and the expert it covers as well theoretical as practical aspects of these statistical techniques. Potential users in different disciplines as biometry, epidemiology, computer science, economics and sociology but also theoretical researchers s- hould consult the book to be informed on the state of the art in this area.