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Author : Staffan Wrigge
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (924 download)
Download or read book Contributions to the Theory of Large Deviations for Random Sums written by Staffan Wrigge and published by . This book was released on 1997 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. C. Heyde
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (277 download)
Download or read book A Contribution to the Theory of Large Deviations for Sums of Independent Random Variables.... written by C. C. Heyde and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Hollander
Publisher : American Mathematical Soc.
ISBN 13 : 9780821844359
Total Pages : 164 pages
Book Rating : 4.8/5 (443 download)
Download or read book Large Deviations written by Frank Hollander and published by American Mathematical Soc.. This book was released on 2000 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an introduction to large deviations. This book is divided into two parts: theory and applications. It presents basic large deviation theorems for i i d sequences, Markov sequences, and sequences with moderate dependence. It also includes an outline of general definitions and theorems.
Author : O. V. Gulinsky
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110917807
Total Pages : 192 pages
Book Rating : 4.1/5 (19 download)
Download or read book Large Deviations for Discrete-Time Processes with Averaging written by O. V. Gulinsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-01-14 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Large Deviations for Discrete-Time Processes with Averaging".
Author : I. N. Sanov
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Probability of Large Deviations of Random Variables written by I. N. Sanov and published by . This book was released on 1958 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adam Shwartz
Publisher : CRC Press
ISBN 13 : 9780412063114
Total Pages : 576 pages
Book Rating : 4.0/5 (631 download)
Download or read book Large Deviations For Performance Analysis written by Adam Shwartz and published by CRC Press. This book was released on 1995-09-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two synergistic parts. The first half develops the theory of large deviations from the beginning (iid random variables) through recent results on the theory for processes with boundaries, keeping to a very narrow path: continuous-time, discrete-state processes. By developing only what is needed for the applications, the theory is kept to a manageable level, both in terms of length and in terms of difficulty. Within its scope, the treatment is detailed, comprehensive and self-contained. As the book shows, there are sufficiently many interesting applications of jump Markov processes to warrant a special treatment. The second half is a collection of applications developed at Bell Laboratories. The applications cover large areas of the theory of communication networks: circuit-switched transmission, packet transmission, multiple access channels, and the M/M/1 queue. Aspects of parallel computation are covered as well: basics of job allocation, rollback-based parallel simulation, assorted priority queueing models that might be used in performance models of various computer architectures, and asymptotic coupling of processors. These applications are thoroughly analyzed using the tools developed in the first half of the book. Features: A transient analysis of the M/M/1 queue; a new analysis of an Aloha model using Markov modulated theory; new results for Erlang's model; new results for the AMS model; analysis of "serve the longer queue", "join the shorter queue" and other simple priority queues; and a simple analysis of the Flatto-Hahn-Wright model of processor-sharing.
Author : Vladimir Vinogradov
Publisher : CRC Press
ISBN 13 : 9780582254992
Total Pages : 228 pages
Book Rating : 4.2/5 (549 download)
Download or read book Refined Large Deviation Limit Theorems written by Vladimir Vinogradov and published by CRC Press. This book was released on 1994-11-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramér's condition on the finiteness of exponential moments may not be satisfied
Author : S. R. S. Varadhan
Publisher : American Mathematical Soc.
ISBN 13 : 082184086X
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)
Download or read book Large Deviations written by S. R. S. Varadhan and published by American Mathematical Soc.. This book was released on 2016-12-08 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with small noise and the exit problem, (ii) large time behavior of Markov processes and their connection to the Feynman-Kac formula and the related large deviation behavior of the number of distinct sites visited by a random walk, and (iii) interacting particle systems, their scaling limits, and large deviations from their expected limits. For the most part the examples are worked out in detail, and in the process the subject of large deviations is developed. The book will give the reader a flavor of how large deviation theory can help in problems that are not posed directly in terms of large deviations. The reader is assumed to have some familiarity with probability, Markov processes, and interacting particle systems.
Author : D.W. Stroock
Publisher : Springer Science & Business Media
ISBN 13 : 1461385148
Total Pages : 204 pages
Book Rating : 4.4/5 (613 download)
Download or read book An Introduction to the Theory of Large Deviations written by D.W. Stroock and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on a course which I gave during the academic year 1983-84 at the University of Colorado. My intention was to provide both my audience as well as myself with an introduction to the theory of 1arie deviations • The organization of sections 1) through 3) owes something to chance and a great deal to the excellent set of notes written by R. Azencott for the course which he gave in 1978 at Saint-Flour (cf. Springer Lecture Notes in Mathematics 774). To be more precise: it is chance that I was around N. Y. U. at the time'when M. Schilder wrote his thesis. and so it may be considered chance that I chose to use his result as a jumping off point; with only minor variations. everything else in these sections is taken from Azencott. In particular. section 3) is little more than a rewrite of his exoposition of the Cramer theory via the ideas of Bahadur and Zabel. Furthermore. the brief treatment which I have given to the Ventsel-Freidlin theory in section 4) is again based on Azencott's ideas. All in all. the biggest difference between his and my exposition of these topics is the language in which we have written. However. another major difference must be mentioned: his bibliography is extensive and constitutes a fine introduction to the available literature. mine shares neither of these attributes. Starting with section 5).
Author : L. Saulis
Publisher : Springer Science & Business Media
ISBN 13 : 9401135304
Total Pages : 241 pages
Book Rating : 4.4/5 (11 download)
Download or read book Limit Theorems for Large Deviations written by L. Saulis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Et moi ... - si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aile.' human race. It has put common sense back 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.H ea viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities 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 'e1:re of this series
Author : Jean-Dominique Deuschel
Publisher : American Mathematical Soc.
ISBN 13 : 082182757X
Total Pages : 298 pages
Book Rating : 4.8/5 (218 download)
Download or read book Large Deviations written by Jean-Dominique Deuschel and published by American Mathematical Soc.. This book was released on 2001 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).
Author : S. R. S. Varadhan
Publisher : SIAM
ISBN 13 : 9781611970241
Total Pages : 80 pages
Book Rating : 4.9/5 (72 download)
Download or read book Large Deviations and Applications written by S. R. S. Varadhan and published by SIAM. This book was released on 1984-01-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many situations exist in which solutions to problems are represented as function space integrals. Such representations can be used to study the qualitative properties of the solutions and to evaluate them numerically using Monte Carlo methods. The emphasis in this book is on the behavior of solutions in special situations when certain parameters get large or small.
Author : N. H. Bingham
Publisher : Cambridge University Press
ISBN 13 : 9780521379434
Total Pages : 518 pages
Book Rating : 4.3/5 (794 download)
Download or read book Regular Variation written by N. H. Bingham and published by Cambridge University Press. This book was released on 1989-06-15 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the theory and applications of regular variation.
Author : Aleksandr Alekseevich Borovkov
Publisher : Cambridge University Press
ISBN 13 :
Total Pages : 655 pages
Book Rating : 4./5 ( download)
Download or read book asymptotic analysis of random walks written by Aleksandr Alekseevich Borovkov and published by Cambridge University Press. This book was released on 2008 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive monograph presenting a unified systematic exposition of the large deviations theory for heavy-tailed random walks.
Author :
Publisher : Academic Press
ISBN 13 : 0080874576
Total Pages : 329 pages
Book Rating : 4.0/5 (88 download)
Download or read book Large Deviations written by and published by Academic Press. This book was released on 1989-06-21 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first four chapters of this volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).
Author : Sendler
Publisher : Springer Science & Business Media
ISBN 13 : 3642468934
Total Pages : 265 pages
Book Rating : 4.6/5 (424 download)
Download or read book Contributions to Stochastics written by Sendler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the contributions to this volume stem from very different fields, no attempt was made to find a systematic ordering. All results are new in so far as they have not been published so far.
Author : Paul H. Schuette
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (89 download)
Download or read book Large Deviations for Trajectories of Sums of Random Variables written by Paul H. Schuette and published by . This book was released on 1991 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
