Stochastic Convergence Of Weighted Sums Of Random Elements In Linear Spaces

DOWNLOAD

Download Stochastic Convergence Of Weighted Sums Of Random Elements In Linear Spaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Stochastic Convergence Of Weighted Sums Of Random Elements In Linear Spaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Stochastic Convergence Of Weighted Sums Of Random Elements In Linear Spaces

DOWNLOAD
Author : Robert L. Taylor
language : en
Publisher: Springer
Release Date : 2006-11-15

Stochastic Convergence Of Weighted Sums Of Random Elements In Linear Spaces written by Robert L. Taylor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Lecture Notes In Mathematics

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1964

Lecture Notes In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Law of large numbers categories.

Stochastic Convergence Of Weighted Sums Of Random Elements In Linear Spaces

DOWNLOAD
Author : R. L. Taylor
language : de
Publisher:
Release Date : 1978

Stochastic Convergence Of Weighted Sums Of Random Elements In Linear Spaces written by R. L. Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.

Asymptotic Behaviour Of Linearly Transformed Sums Of Random Variables

DOWNLOAD
Author : V.V. Buldygin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Behaviour Of Linearly Transformed Sums Of Random Variables written by V.V. Buldygin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Limit theorems for random sequences may conventionally be divided into two large parts, one of them dealing with convergence of distributions (weak limit theorems) and the other, with almost sure convergence, that is to say, with asymptotic prop erties of almost all sample paths of the sequences involved (strong limit theorems). Although either of these directions is closely related to another one, each of them has its own range of specific problems, as well as the own methodology for solving the underlying problems. This book is devoted to the second of the above mentioned lines, which means that we study asymptotic behaviour of almost all sample paths of linearly transformed sums of independent random variables, vectors, and elements taking values in topological vector spaces. In the classical works of P.Levy, A.Ya.Khintchine, A.N.Kolmogorov, P.Hartman, A.Wintner, W.Feller, Yu.V.Prokhorov, and M.Loeve, the theory of almost sure asymptotic behaviour of increasing scalar-normed sums of independent random vari ables was constructed. This theory not only provides conditions of the almost sure convergence of series of independent random variables, but also studies different ver sions of the strong law of large numbers and the law of the iterated logarithm. One should point out that, even in this traditional framework, there are still problems which remain open, while many definitive results have been obtained quite recently.

Convergence In Ergodic Theory And Probability

DOWNLOAD
Author : Vitaly Bergelson
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-15

Convergence In Ergodic Theory And Probability written by Vitaly Bergelson and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-15 with Mathematics categories.

This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Multiple Statistical Decision Theory Recent Developments

DOWNLOAD
Author : S. S. Gupta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Multiple Statistical Decision Theory Recent Developments written by S. S. Gupta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The theory and practice of decision making involves infinite or finite number of actions. The decision rules with a finite number of elements in the action space are the so-called multiple decision procedures. Several approaches to problems of multi ple decisions have been developed; in particular, the last decade has witnessed a phenomenal growth of this field. An important aspect of the recent contributions is the attempt by several authors to formalize these problems more in the framework of general decision theory. In this work, we have applied general decision theory to develop some modified principles which are reasonable for problems in this field. Our comments and contributions have been written in a positive spirt and, hopefully, these will an impact on the future direction of research in this field. Using the various viewpoints and frameworks, we have emphasized recent developments in the theory of selection and ranking ~Ihich, in our opinion, provides one of the main tools in this field. The growth of the theory of selection and ranking has kept apace with great vigor as is evidenced by the publication of two recent books, one by Gibbons, Olkin and Sobel (1977), and the other by Gupta and Panchapakesan (1979). An earlier monograph by Bechhofer, Kiefer and Sobel (1968) had also provided some very interest ing work in this field.

Statistical Properties Of The Generalized Inverse Gaussian Distribution

DOWNLOAD
Author : B. Jorgensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Statistical Properties Of The Generalized Inverse Gaussian Distribution written by B. Jorgensen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In 1978 the idea of studying the generalized inverse Gaussian distribution was proposed to me by Professor Ole Barndorff-Nielsen, who had come across the distribution in the study of the socalled hyperbolic distributions where it emerged in connection with the representation of the hyperbolic distributions as mixtures of normal distributions. The statistical properties of the generalized inverse Gaussian distribution were at that time virtually unde veloped, but it turned out that the distribution has some nice properties, and models many sets of data satisfactorily. This work contains an account of the statistical properties of the distribu tion as far as they are developed at present. The work was done at the Department of Theoretical Statistics, Aarhus University, mostly in 1979, and was partial fulfilment to wards my M. Sc. degree. I wish to convey my warm thanks to Ole Barn dorff-Nielsen and Preben BI~sild for their advice and for comments on earlier versions of the manuscript and to Jette Hamborg for her skilful typing.

Asymptotic Efficiency Of Statistical Estimators Concepts And Higher Order Asymptotic Efficiency

DOWNLOAD
Author : Masafumi Akahira
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Efficiency Of Statistical Estimators Concepts And Higher Order Asymptotic Efficiency written by Masafumi Akahira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This monograph is a collection of results recently obtained by the authors. Most of these have been published, while others are awaitlng publication. Our investigation has two main purposes. Firstly, we discuss higher order asymptotic efficiency of estimators in regular situa tions. In these situations it is known that the maximum likelihood estimator (MLE) is asymptotically efficient in some (not always specified) sense. However, there exists here a whole class of asymptotically efficient estimators which are thus asymptotically equivalent to the MLE. It is required to make finer distinctions among the estimators, by considering higher order terms in the expansions of their asymptotic distributions. Secondly, we discuss asymptotically efficient estimators in non regular situations. These are situations where the MLE or other estimators are not asymptotically normally distributed, or where l 2 their order of convergence (or consistency) is not n / , as in the regular cases. It is necessary to redefine the concept of asympto tic efficiency, together with the concept of the maximum order of consistency. Under the new definition as asymptotically efficient estimator may not always exist. We have not attempted to tell the whole story in a systematic way. The field of asymptotic theory in statistical estimation is relatively uncultivated. So, we have tried to focus attention on such aspects of our recent results which throw light on the area.

Asymptotics In Statistics And Probability

DOWNLOAD
Author : Madan L. Puri
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05

Asymptotics In Statistics And Probability written by Madan L. Puri and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.

No detailed description available for "Asymptotics in Statistics and Probability".

Theory Of Random Sets

DOWNLOAD
Author : Ilya Molchanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-28

Theory Of Random Sets written by Ilya Molchanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-28 with Mathematics categories.

This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine