Download or read book Limit Theorems Involving Capacities for Recurrent Markov Chains written by Sidney C. Port and published by . This book was released on 1965 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The asymptotic behavior of the quantity E(n) = The summation over all x of M(x) P sub x (V

Download or read book Principles of Random Walk written by Frank Spitzer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted exclusively to a very special class of random processes, namely, to random walk on the lattice points of ordinary Euclidian space. The author considers this high degree of specialization worthwhile because the theory of such random walks is far more complete than that of any larger class of Markov chains. Almost 100 pages of examples and problems are included.

Download or read book Uniform Limit Theorems for Markov Chains written by Shlomo Levental and published by . This book was released on 1986 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Markov Chains written by D. Revuz and published by Elsevier. This book was released on 2008-07-15 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory, the basic classification of chains according to their asymptotic behaviour and the celebrated Chacon-Ornstein theorem are examined in detail. The second part of the book is at a more advanced level and includes a treatment of random walks on general locally compact abelian groups. Further chapters develop renewal theory, an introduction to Martin boundary and the study of chains recurrent in the Harris sense. Finally, the last chapter deals with the construction of chains starting from a kernel satisfying some kind of maximum principle.

Download or read book Ratio Limit Theorems for Markov Chains written by Sidney C. Port and published by . This book was released on 1964 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an irreducible, recurrent, Markov chain, with integer states, let N sub n(A) be the occupation time of A sy time n, where A is a finite set of states. The principal concern in this memorandum was to investigate various 'ratio limit theorems' for P sub x(N sub n(A) =k). Criteria were given for various ratio limits to exist. The limits (when they exist) were shown to be expressible in terms of an integral over the set of integers E completed with its dual recurrent boundary B. Applications were given to several specific Markov chains. (Author).

Download or read book U S Government Research and Development Reports written by and published by . This book was released on 1965 with total page 1776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Some Limit Theorems for Markov Chains and Related Occupancy Problems written by Burton Herbert Singer and published by . This book was released on 1967 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1965 with total page 1654 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Limit Theorems for Null Recurrent Markov Processes written by Reinhard Höpfner and published by . This book was released on 2014-09-11 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1965-07 with total page 1698 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Memorandum written by and published by . This book was released on 1967 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Local Limit Theorems for Inhomogeneous Markov Chains written by Dmitry Dolgopyat and published by Springer Nature. This book was released on 2023-07-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book extends the local central limit theorem to Markov chains whose state spaces and transition probabilities are allowed to change in time. Such chains are used to model Markovian systems depending on external time-dependent parameters. The book develops a new general theory of local limit theorems for additive functionals of Markov chains, in the regimes of local, moderate, and large deviations, and provides nearly optimal conditions for the classical expansions, as well as asymptotic corrections when these conditions fail. Applications include local limit theorems for independent but not identically distributed random variables, Markov chains in random environments, and time-dependent perturbations of homogeneous Markov chains. The inclusion of appendices with background material, numerous examples, and an account of the historical background of the subject make this self-contained book accessible to graduate students. It will also be useful for researchers in probability and ergodic theory who are interested in asymptotic behaviors, Markov chains in random environments, random dynamical systems and non-stationary systems.

Download or read book Memorandum written by Rand Corporation and published by . This book was released on 1965 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Research Memorandum written by and published by . This book was released on 1947 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi Compactness written by Hubert Hennion and published by Springer Science & Business Media. This book was released on 2001-08 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how techniques from the perturbation theory of operators, applied to a quasi-compact positive kernel, may be used to obtain limit theorems for Markov chains or to describe stochastic properties of dynamical systems. A general framework for this method is given and then applied to treat several specific cases. An essential element of this work is the description of the peripheral spectra of a quasi-compact Markov kernel and of its Fourier-Laplace perturbations. This is first done in the ergodic but non-mixing case. This work is extended by the second author to the non-ergodic case. The only prerequisites for this book are a knowledge of the basic techniques of probability theory and of notions of elementary functional analysis.

Download or read book Limit Theorems for Null Recurrent Markov Processes written by Reinhard Höpfner and published by American Mathematical Soc.. This book was released on 2003 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: