Probabilistic Applications Of Tauberian Theorems

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Probabilistic Applications Of Tauberian Theorems

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Author : Arsen L. Yakimiv
language : en
Publisher: Walter de Gruyter
Release Date : 2012-03-20

Probabilistic Applications Of Tauberian Theorems written by Arsen L. Yakimiv and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-20 with Mathematics categories.

The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Probabilistic Applications Of Tauberian Theorems

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Author : Arsen L. Yakimiv
language : en
Publisher: Walter de Gruyter
Release Date : 2005

Probabilistic Applications Of Tauberian Theorems written by Arsen L. Yakimiv and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Probabilistic Applications Of Tauberian Theorems

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Author : A. L. Yakimiv
language : en
Publisher: Walter de Gruyter
Release Date : 2005

Probabilistic Applications Of Tauberian Theorems written by A. L. Yakimiv and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

The Tauberian theory has found a widespread application in probability theory. Despite the strong interest of probabilists in Tauberian theorems, no book specially devoted to this topic has been published yet. This monograph is intended to fill this gap. In last three decades, much thought has been given to multidimensional Tauberian theory. This is primarily due to the fact that Tauberian theorems are finding ever-widening application in mathematical physics, the theory of differential equations, and probability theory. By Abelian theorems are meant those assertions which allow to deduce from the asymptotic behaviour of sequences and functions the asymptotic properties of their generating functions and Laplace transforms (as well as other integral transforms). Theorems converse to Abelian are referred to as Tauberian. Usually, direct methods are used to prove Abelian theorems. It is much more difficult to prove the corresponding Tauberian theorems, and a wide spectrum of analytical techniques is involved. This monograph places particular emphasis on the multidimensional studies. It contains Tauberian theorems and their applications to analyse the asymptotic behaviour of stochastic processes, record processes, random permutations, and infinitely divisible random variables. Tauberian theorems are contained in the first chapter of the book. Chapters 2-5 cover probabilistic applications of Tauberian theorems.

Probabilistic Applications Of Tauberian Theorems

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Author : Arsen Li︠u︡bomirovich I︠A︡kymiv
language : en
Publisher:
Release Date : 2005

Probabilistic Applications Of Tauberian Theorems written by Arsen Li︠u︡bomirovich I︠A︡kymiv and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Differential equations, Elliptic categories.

The Tauberian theory has found a widespread application in probability theory. Despite the strong interest of probabilists in Tauberian theorems, no book specially devoted to this topic has been published yet. This monograph is intended to fill this gap.

Probabilistic Applications Of Tauberian Theorems

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Author :
language : en
Publisher:
Release Date :

Probabilistic Applications Of Tauberian Theorems 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.

Operator Theory And Harmonic Analysis

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Author : Alexey N. Karapetyants
language : en
Publisher: Springer Nature
Release Date : 2021-08-31

Operator Theory And Harmonic Analysis written by Alexey N. Karapetyants and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-31 with Mathematics categories.

This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the second in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University, Rostov-on-Don, Russia. This volume focuses on mathematical methods and applications of probability and statistics in the context of general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multi-parameter objects required when considering operators and objects with variable parameters.

Heavy Tail Phenomena

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Author : Sidney I. Resnick
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-03

Heavy Tail Phenomena written by Sidney I. Resnick 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 2007-12-03 with Mathematics categories.

This comprehensive text gives an interesting and useful blend of the mathematical, probabilistic and statistical tools used in heavy-tail analysis. It is uniquely devoted to heavy-tails and emphasizes both probability modeling and statistical methods for fitting models. Prerequisites for the reader include a prior course in stochastic processes and probability, some statistical background, some familiarity with time series analysis, and ability to use a statistics package. This work will serve second-year graduate students and researchers in the areas of applied mathematics, statistics, operations research, electrical engineering, and economics.

A Basic Course In Probability Theory

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Author : Rabi Bhattacharya
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-27

A Basic Course In Probability Theory written by Rabi Bhattacharya 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 2007-07-27 with Mathematics categories.

Introductory Probability is a pleasure to read and provides a fine answer to the question: How do you construct Brownian motion from scratch, given that you are a competent analyst? There are at least two ways to develop probability theory. The more familiar path is to treat it as its own discipline, and work from intuitive examples such as coin flips and conundrums such as the Monty Hall problem. An alternative is to first develop measure theory and analysis, and then add interpretation. Bhattacharya and Waymire take the second path.

Limit Theorems For Associated Random Fields And Related Systems

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Author : Aleksandr Vadimovich Bulinskii
language : en
Publisher: World Scientific
Release Date : 2007

Limit Theorems For Associated Random Fields And Related Systems written by Aleksandr Vadimovich Bulinskii 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.). Contents: Random Systems with Covariance Inequalities; Moment and Maximal Inequalities; Central Limit Theorem; Almost Sure Convergence; Invariance Principles; Law of the Iterated Logarithm; Statistical Applications; Integral Functionals. Readership: Researchers in modern probability and statistics, graduate students and academic staff of the universities.

Stability Problems For Stochastic Models Theory And Applications

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Author : Alexander Zeifman
language : en
Publisher: MDPI
Release Date : 2021-03-05

Stability Problems For Stochastic Models Theory And Applications written by Alexander Zeifman and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-05 with Mathematics categories.

The aim of this Special Issue of Mathematics is to commemorate the outstanding Russian mathematician Vladimir Zolotarev, whose 90th birthday will be celebrated on February 27th, 2021. The present Special Issue contains a collection of new papers by participants in sessions of the International Seminar on Stability Problems for Stochastic Models founded by Zolotarev. Along with research in probability distributions theory, limit theorems of probability theory, stochastic processes, mathematical statistics, and queuing theory, this collection contains papers dealing with applications of stochastic models in modeling of pension schemes, modeling of extreme precipitation, construction of statistical indicators of scientific publication importance, and other fields.