Limit Theorems For Associated Random Fields And Related Systems
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Limit Theorems For Associated Random Fields And Related Systems
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Author :
language : en
Publisher:
Release Date :
Limit Theorems For Associated Random Fields And Related Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Limit Theorems For Associated Random Fields And Related Systems
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Author : Aleksandr Vadimovich Bulinski?
language : en
Publisher: World Scientific
Release Date : 2007
Limit Theorems For Associated Random Fields And Related Systems written by Aleksandr Vadimovich Bulinski? and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications.There are 434 items in the bibliography.The book is self-contained, provides detailed proofs, for reader's convenience some auxiliary results are included in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).
Limit Theorems For Random Fields With Singular Spectrum
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Author : Nikolai Leonenko
language : en
Publisher: Springer
Release Date : 2011-09-29
Limit Theorems For Random Fields With Singular Spectrum written by Nikolai Leonenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-29 with Mathematics categories.
Stochastic Geometry Spatial Statistics And Random Fields
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Author : Evgeny Spodarev
language : en
Publisher: Springer
Release Date : 2013-02-11
Stochastic Geometry Spatial Statistics And Random Fields written by Evgeny Spodarev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-11 with Mathematics categories.
This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
Limit Theorems And Some Applications In Statistical Physics
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Author : Boris Nahapetian
language : en
Publisher: Springer
Release Date : 1991-08
Limit Theorems And Some Applications In Statistical Physics written by Boris Nahapetian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08 with Technology & Engineering categories.
Limit Theorems For Random Fields With Singular Spectrum
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Author : Nicolai Leonenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Limit Theorems For Random Fields With Singular Spectrum written by Nicolai Leonenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book presents limit theorems for nonlinear functionals of random fields with singular spectrum on the basis of various asymptotic expansions. The first chapter treats basic concepts of the spectral theory of random fields, some important examples of random processes and fields with singular spectrum, and Tauberian and Abelian theorems for covariance function of long-memory random fields. Chapter 2 is devoted to limit theorems for spherical averages of nonlinear transformations of Gaussian and chi-square random fields. Chapter 3 summarises some limit theorems for geometric type functionals of random fields. Limit theorems for the solutions of Burgers' equation with random data via parabolic and hyperbolic rescaling are demonstrated in Chapter 4. Lastly, Chapter 5 deals with some problems for statistical analysis of random fields with singular spectrum. Audience: This book will be of interest to mathematicians who use random fields in engineering or other applications.
Limit Theorems Of Probability Theory
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Author : Yu.V. Prokhorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Limit Theorems Of Probability Theory written by Yu.V. Prokhorov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
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.
Random Fields On The Sphere
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Author : Domenico Marinucci
language : en
Publisher: Cambridge University Press
Release Date : 2011-08-25
Random Fields On The Sphere written by Domenico Marinucci and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-25 with Mathematics categories.
The authors present a comprehensive analysis of isotropic spherical random fields, with a view towards applications in cosmology. Any mathematician or statistician interested in these applications, especially the booming area of cosmic microwave background (CMB) radiation data analysis, will find the mathematical foundation they need in this book.
Limit Theorems For Infinitely Divisible Random Fields
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Author : Aurel Kleinerman
language : en
Publisher:
Release Date : 1977
Limit Theorems For Infinitely Divisible Random Fields written by Aurel Kleinerman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Limit theorems (Probability theory) categories.
Random Summation
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Author : Boris V. Gnedenko
language : en
Publisher: CRC Press
Release Date : 2020-07-24
Random Summation written by Boris V. Gnedenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Mathematics categories.
This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop. Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.