Author: I. Iscoe
Publisher:
ISBN:
Category :
Languages : en
Pages : 47
Book Description
Large Deviations of Uniformly Recurrent Markov Additive Processes
Large Deviations for Additive Functionals of Markov Chains
Author: Alejandro D. de Acosta
Publisher: American Mathematical Soc.
ISBN: 0821890891
Category : Mathematics
Languages : en
Pages : 120
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821890891
Category : Mathematics
Languages : en
Pages : 120
Book Description
Large Deviations for Markov Chains
Author: Alejandro D. de Acosta
Publisher:
ISBN: 1009063359
Category : Mathematics
Languages : en
Pages : 264
Book Description
This book studies the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable recurrence conditions, the ergodic theorem for additive functionals of a Markov chain asserts the almost sure convergence of the averages of a real or vector-valued function of the chain to the mean of the function with respect to the invariant distribution. In the case of empirical measures, the ergodic theorem states the almost sure convergence in a suitable sense to the invariant distribution. The large deviation theorems provide precise asymptotic estimates at logarithmic level of the probabilities of deviating from the preponderant behavior asserted by the ergodic theorems.
Publisher:
ISBN: 1009063359
Category : Mathematics
Languages : en
Pages : 264
Book Description
This book studies the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable recurrence conditions, the ergodic theorem for additive functionals of a Markov chain asserts the almost sure convergence of the averages of a real or vector-valued function of the chain to the mean of the function with respect to the invariant distribution. In the case of empirical measures, the ergodic theorem states the almost sure convergence in a suitable sense to the invariant distribution. The large deviation theorems provide precise asymptotic estimates at logarithmic level of the probabilities of deviating from the preponderant behavior asserted by the ergodic theorems.
Large Deviations for Additive Functionals of Markov Exhangeable Sequences
Large Deviations for Discrete-Time Processes with Averaging
Author: O. V. Gulinsky
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110917807
Category : Mathematics
Languages : en
Pages : 192
Book Description
No detailed description available for "Large Deviations for Discrete-Time Processes with Averaging".
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110917807
Category : Mathematics
Languages : en
Pages : 192
Book Description
No detailed description available for "Large Deviations for Discrete-Time Processes with Averaging".
Large Deviations and Metastability
Author: Enzo Olivieri
Publisher: Cambridge University Press
ISBN: 9780521591638
Category : Mathematics
Languages : en
Pages : 540
Book Description
Publisher Description
Publisher: Cambridge University Press
ISBN: 9780521591638
Category : Mathematics
Languages : en
Pages : 540
Book Description
Publisher Description
Large Deviations
Author: Frank den Hollander
Publisher: American Mathematical Soc.
ISBN: 0821871722
Category : Mathematics
Languages : en
Pages : 162
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821871722
Category : Mathematics
Languages : en
Pages : 162
Book Description
Large Deviations For Performance Analysis
Author: Alan Weiss
Publisher: Routledge
ISBN: 042984686X
Category : Computers
Languages : en
Pages : 295
Book Description
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.
Publisher: Routledge
ISBN: 042984686X
Category : Computers
Languages : en
Pages : 295
Book Description
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 and Importance Sampling for Markov Additive Processes
Saddlepoint Approximations
Author: Jens Ledet Jensen
Publisher: Oxford University Press
ISBN: 9780198522959
Category : Mathematics
Languages : en
Pages : 348
Book Description
This book explains the ideas behind the saddlepoint approximations as well as giving a detailed mathematical description of the subject and many worked out examples.
Publisher: Oxford University Press
ISBN: 9780198522959
Category : Mathematics
Languages : en
Pages : 348
Book Description
This book explains the ideas behind the saddlepoint approximations as well as giving a detailed mathematical description of the subject and many worked out examples.