Large Deviations For Performance Analysis
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Large Deviations For Performance Analysis
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Author : Adam Shwartz
language : en
Publisher:
Release Date : 1993
Large Deviations For Performance Analysis written by Adam Shwartz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Large Deviations For Performance Analysis
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Author : Adam Shwartz
language : en
Publisher:
Release Date : 1996
Large Deviations For Performance Analysis written by Adam Shwartz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Large deviations categories.
Large Deviations For Performance Analysis
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Author :
language : en
Publisher:
Release Date : 1998
Large Deviations For Performance Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Large Deviations For Performance Analysis
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Author : Alan Weiss
language : en
Publisher: Routledge
Release Date : 2019-03-07
Large Deviations For Performance Analysis written by Alan Weiss and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-07 with Computers categories.
Originally published in 1995, Large Deviations for Performance Analysis consists of two synergistic parts. The first half develops the theory of large deviations from the beginning, 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 including, 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 analysed using the tools developed in the first half of the book.
Large Deviations Approaches To Performance Analysis Of Distributed Detection Systems
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Author : Po-Ning Chen
language : en
Publisher:
Release Date : 1994
Large Deviations Approaches To Performance Analysis Of Distributed Detection Systems written by Po-Ning Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Distributed databases categories.
Large Deviations Analysis To The Performance Of Distributed Detection
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Author : Po-Ning Chen
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2010-10
Large Deviations Analysis To The Performance Of Distributed Detection written by Po-Ning Chen and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10 with categories.
This book studies the performance of distributed detection systems by means of large deviation techniques under two distinct models. In the first model, the error performance is investigated as the number of sensors tends to infinity by assuming that the i.i.d. sensor data are quantized locally into m-ary messages and transmitted to the fusion center for binary hypothesis testing. It is found that when the second moment of the post-quantization log-likelihood ratio is unbounded, the Neyman-Pearson error exponent becomes a function of the test level; whereas the Bayes error exponent remains unaffected. Also shown is that in Bayes testing, the equivalence of absolutely optimal and best identical-quantizer systems is not limited to error exponents but extends to the actual Bayes errors up to a multiplicative constant. In the second model, the null and alternative distributions become spatially correlated Gaussian, differing in the mean. The issue considered includes whether contiguous marginal likelihood ratio quantizers are optimal. It is shown that this is not true in general, and a sufficient condition is obtained under the case of a single observation per sensor.
Large Deviations
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Author : Frank Hollander
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Large Deviations written by Frank Hollander and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
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.
Large Deviations
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Author :
language : en
Publisher: Academic Press
Release Date : 1989-06-21
Large Deviations written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-06-21 with Mathematics categories.
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).
Large Deviations For Performance Analysis
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Author : Adam Shwartz
language : en
Publisher: CRC Press
Release Date : 1995-09-01
Large Deviations For Performance Analysis written by Adam Shwartz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-01 with Mathematics categories.
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.
Large Deviations For Gaussian Queues
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Author : Michel Mandjes
language : en
Publisher: John Wiley & Sons
Release Date : 2007-04-30
Large Deviations For Gaussian Queues written by Michel Mandjes and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-30 with Mathematics categories.
In recent years the significance of Gaussian processes to communication networks has grown considerably. The inherent flexibility of the Gaussian traffic model enables the analysis, in a single mathematical framework, of systems with both long-range and short-range dependent input streams. Large Deviations for Gaussian Queues demonstrates how the Gaussian traffic model arises naturally, and how the analysis of the corresponding queuing model can be performed. The text provides a general introduction to Gaussian queues, and surveys recent research into the modelling of communications networks. Coverage includes: Discussion of the theoretical concepts and practical aspects related to Gaussian traffic models. Analysis of recent research asymptotic results for Gaussian queues, both in the large-buffer and many-sources regime. An emphasis on rare-event analysis, relying on a variety of asymptotic techniques. Examination of single-node FIFO queuing systems, as well as queues operating under more complex scheduling disciplines, and queuing networks. A set of illustrative examples that directly relate to important practical problems in communication networking. A large collection of instructive exercises and accompanying solutions. Large Deviations for Gaussian Queues assumes minimal prior knowledge. It is ideally suited for postgraduate students in applied probability, operations research, computer science and electrical engineering. The book’s self-contained style makes it perfect for practitioners in the communications networking industry and for researchers in related areas.