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Author : F. Götze
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (255 download)
Download or read book On the rate of convergence in the central limit theorem in Banach spaces written by F. Götze and published by . This book was released on 1981 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : WanSoo T. Rhee
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (176 download)
Download or read book On the Rate of Convergence in the Central Limit Theorem and the Type of the Banach Space written by WanSoo T. Rhee and published by . This book was released on 1984 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Paulauskas
Publisher : Springer Science & Business Media
ISBN 13 : 9401177988
Total Pages : 171 pages
Book Rating : 4.4/5 (11 download)
Download or read book Approximation Theory in the Central Limit Theorem written by V. Paulauskas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~Et mai . ..., si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aIIe.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent: therefore we may be sense' . able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : V. Paulauskas
Publisher : Springer
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (44 download)
Download or read book Approximation Theory in the Central Limit Theorem written by V. Paulauskas and published by Springer. This book was released on 1989-08-31 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~Et mai . ... , si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aIIe.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent: therefore we may be sense' . able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : Yu.V. Prokhorov
Publisher : Springer Science & Business Media
ISBN 13 : 3662041723
Total Pages : 280 pages
Book Rating : 4.6/5 (62 download)
Download or read book Limit Theorems of Probability Theory written by Yu.V. Prokhorov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.
Author : Peter Hall
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.F/5 ( download)
Download or read book Rates of Convergence in the Central Limit Theorem written by Peter Hall and published by . This book was released on 1982 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. M. Dudley
Publisher : Cambridge University Press
ISBN 13 : 1107728886
Total Pages : 485 pages
Book Rating : 4.1/5 (77 download)
Download or read book Uniform Central Limit Theorems written by R. M. Dudley and published by Cambridge University Press. This book was released on 2014-02-24 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included in the first edition, including the Bretagnolle–Massart theorem giving constants in the Komlos–Major–Tusnady rate of convergence for the classical empirical process, Massart's form of the Dvoretzky–Kiefer–Wolfowitz inequality with precise constant, Talagrand's generic chaining approach to boundedness of Gaussian processes, a characterization of uniform Glivenko–Cantelli classes of functions, Giné and Zinn's characterization of uniform Donsker classes, and the Bousquet–Koltchinskii–Panchenko theorem that the convex hull of a uniform Donsker class is uniform Donsker. The book will be an essential reference for mathematicians working in infinite-dimensional central limit theorems, mathematical statisticians, and computer scientists working in computer learning theory. Problems are included at the end of each chapter so the book can also be used as an advanced text.
Author : IU. IUrii Vasilevich Borovskikh
Publisher : VSP
ISBN 13 : 9789067642002
Total Pages : 442 pages
Book Rating : 4.6/5 (42 download)
Download or read book U-Statistics in Banach Spaces written by IU. IUrii Vasilevich Borovskikh and published by VSP. This book was released on 1996-01-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: U-statistics are universal objects of modern probabilistic summation theory. They appear in various statistical problems and have very important applications. The mathematical nature of this class of random variables has a functional character and, therefore, leads to the investigation of probabilistic distributions in infinite-dimensional spaces. The situation when the kernel of a U-statistic takes values in a Banach space, turns out to be the most natural and interesting. In this book, the author presents in a systematic form the probabilistic theory of U-statistics with values in Banach spaces (UB-statistics), which has been developed to date. The exposition of the material in this book is based around the following topics: algebraic and martingale properties of U-statistics; inequalities; law of large numbers; the central limit theorem; weak convergence to a Gaussian chaos and multiple stochastic integrals; invariance principle and functional limit theorems; estimates of the rate of weak convergence; asymptotic expansion of distributions; large deviations; law of iterated logarithm; dependent variables; relation between Banach-valued U-statistics and functionals from permanent random measures.
Author : Yu. V. Boroskikh
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311231395X
Total Pages : 436 pages
Book Rating : 4.1/5 (123 download)
Download or read book U-Statistics in Banach Spaces written by Yu. V. Boroskikh and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "U-Statistics in Banach Spaces".
Author : WanSoo T. Rhee
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (655 download)
Download or read book Studies on the Rate of Convergence in the Central Limit Theorem written by WanSoo T. Rhee and published by . This book was released on 1979 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Beck
Publisher : Springer
ISBN 13 : 3540398708
Total Pages : 243 pages
Book Rating : 4.5/5 (43 download)
Download or read book Probability in Banach Spaces IV written by A. Beck and published by Springer. This book was released on 2006-11-15 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: a
Author : Jorgen Hoffmann-Jorgensen
Publisher : Springer Science & Business Media
ISBN 13 : 1461202531
Total Pages : 422 pages
Book Rating : 4.4/5 (612 download)
Download or read book Probability in Banach Spaces, 9 written by Jorgen Hoffmann-Jorgensen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993. A glance at the table of contents indicates the broad range of topics covered at this conference. What defines research in this field is not so much the topics considered but the generality of the ques tions that are asked. The goal is to examine the behavior of large classes of stochastic processes and to describe it in terms of a few simple prop erties that the processes share. The reward of research like this is that occasionally one can gain deep insight, even about familiar processes, by stripping away details, that in hindsight turn out to be extraneous. A good understanding about the disciplines involved in this field can be obtained from the recent book, Probability in Banach Spaces, Springer-Verlag, by M. Ledoux and M. Thlagrand. On page 5, of this book, there is a list of previous conferences in probability in Banach spaces, including the other eight international conferences. One can see that research in this field over the last twenty years has contributed significantly to knowledge in probability and has had important applications in many other branches of mathematics, most notably in statistics and functional analysis.
Author : I͡Uriĭ Vasilʹevich Prokhorov
Publisher : VSP
ISBN 13 : 9789067640671
Total Pages : 588 pages
Book Rating : 4.6/5 (46 download)
Download or read book Probability Theory and Mathematical Statistics written by I͡Uriĭ Vasilʹevich Prokhorov and published by VSP. This book was released on 1987 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. T. Rachev
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (227 download)
Download or read book Convolution Metrics and Rates of Convergence in the CLT (Central Limit Theorem). written by S. T. Rachev and published by . This book was released on 1987 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let (B,) be a complete separable Banach space and let X=X (B) be the vector space of all random variables defined on a probability space (Omega, A, P) and taking values in B. It is known that metrics on X of convolution type enjoy a variety of interesting properties. In this article it is shown that convolution metrics may also by used to obtain rates of convergence in CLT's involving a stable limit law. The rates are expressed in terms of a variety of uniform metrics on X and include the total variation metric and the uniform metrics between density and characteristic functions. The results represent both an improvement and an extension of existing results. Week convergence properties of convolution metrics are also explored. Keywords: Ideal probability metrics; Convolution metrics; Rate of convergence; Stable random variables.
Author : Vladimir S. Korolyuk
Publisher : Springer Science & Business Media
ISBN 13 : 9401735158
Total Pages : 558 pages
Book Rating : 4.4/5 (17 download)
Download or read book Theory of U-Statistics written by Vladimir S. Korolyuk and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of U-statistics goes back to the fundamental work of Hoeffding [1], in which he proved the central limit theorem. During last forty years the interest to this class of random variables has been permanently increasing, and thus, the new intensively developing branch of probability theory has been formed. The U-statistics are one of the universal objects of the modem probability theory of summation. On the one hand, they are more complicated "algebraically" than sums of independent random variables and vectors, and on the other hand, they contain essential elements of dependence which display themselves in the martingale properties. In addition, the U -statistics as an object of mathematical statistics occupy one of the central places in statistical problems. The development of the theory of U-statistics is stipulated by the influence of the classical theory of summation of independent random variables: The law of large num bers, central limit theorem, invariance principle, and the law of the iterated logarithm we re proved, the estimates of convergence rate were obtained, etc.
Author : Yu. V. Prohorov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112319001
Total Pages : 584 pages
Book Rating : 4.1/5 (123 download)
Download or read book Probability Theory and Mathematical Statistics. Vol. 1 written by Yu. V. Prohorov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "PROC. VILNIUS CONF. PROB. STAT. VOL. 1 (PROHOROV) E-BOOK".
Author : A. Weron
Publisher : Springer
ISBN 13 : 3540383506
Total Pages : 342 pages
Book Rating : 4.5/5 (43 download)
Download or read book Probability Theory on Vector Spaces II written by A. Weron and published by Springer. This book was released on 2006-11-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
