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| Author | : Vladimir E. Bening |
| Publisher | : VSP |
| Total Pages | : 312 |
| Release | : 2000-01-01 |
| Genre | : Mathematics |
| ISBN | : 9789067643238 |
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
| Author | : Vladimir E. Bening |
| Publisher | : Walter de Gruyter |
| Total Pages | : 305 |
| Release | : 2011-08-30 |
| Genre | : Mathematics |
| ISBN | : 3110935996 |
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
| Author | : Piotr Peter Witold Mikulski |
| Publisher | : |
| Total Pages | : 88 |
| Release | : 1961 |
| Genre | : Mathematical statistics |
| ISBN | : |
| Author | : Odile Pons |
| Publisher | : World Scientific |
| Total Pages | : 304 |
| Release | : 2013-10-04 |
| Genre | : Mathematics |
| ISBN | : 9814531766 |
An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions. With many new test statistics developed for smooth curves, the reliance on kernel estimators with bias corrections and the weak convergence of the estimators are useful to prove the asymptotic properties of the tests, extending the coverage to semiparametric models. They include tests built from continuously observed processes and observations with cumulative intervals.
| Author | : Vladimir E. Bening |
| Publisher | : |
| Total Pages | : |
| Release | : |
| Genre | : |
| ISBN | : 9783110622775 |
| Author | : A. W. van der Vaart |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2000-06-19 |
| Genre | : Mathematics |
| ISBN | : 1107268443 |
This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master's level statistics text, this book will also give researchers an overview of research in asymptotic statistics.
| Author | : Al?bert Nikolaevich Shiri?aev |
| Publisher | : World Scientific |
| Total Pages | : 306 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9789810241018 |
This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is ?how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment?.
| Author | : B. L. S. Prakasa Rao |
| Publisher | : |
| Total Pages | : 458 |
| Release | : 1987-01-16 |
| Genre | : Mathematics |
| ISBN | : |
Probability and stochastic processes; Limit theorems for some statistics; Asymptotic theory of estimation; Linear parametric inference; Martingale approach to inference; Inference in nonlinear regression; Von mises functionals; Empirical characteristic function and its applications.
| Author | : Helmut Strasser |
| Publisher | : Walter de Gruyter |
| Total Pages | : 505 |
| Release | : 2011-04-20 |
| Genre | : Mathematics |
| ISBN | : 3110850826 |
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
| Author | : Lucien Marie Le Cam |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 312 |
| Release | : 2000-07-28 |
| Genre | : Mathematics |
| ISBN | : 9780387950365 |
This is the second edition of a coherent introduction to the subject of asymptotic statistics as it has developed over the past 50 years. It differs from the first edition in that it is now more 'reader friendly' and also includes a new chapter on Gaussian and Poisson experiments, reflecting their growing role in the field. Most of the subsequent chapters have been entirely rewritten and the nonparametrics of Chapter 7 have been amplified. The volume is not intended to replace monographs on specialized subjects, but will help to place them in a coherent perspective. It thus represents a link between traditional material - such as maximum likelihood, and Wald's Theory of Statistical Decision Functions -- together with comparison and distances for experiments. Much of the material has been taught in a second year graduate course at Berkeley for 30 years.
