Stability Problems for Stochastic Models: Theory and Applications

Stability Problems for Stochastic Models: Theory and Applications PDF

Author: Alexander Zeifman

Publisher: MDPI

Published: 2021-03-05

Total Pages: 370

ISBN-13: 3036504524

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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.

Stability Problems for Stochastic Models: Theory and Applications

Stability Problems for Stochastic Models: Theory and Applications PDF

Author: Alexander Zeifman

Publisher:

Published: 2021

Total Pages: 370

ISBN-13: 9783036504537

DOWNLOAD EBOOK →

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.

Stability Problems for Stochastic Models

Stability Problems for Stochastic Models PDF

Author: Alexander Zeifman

Publisher: Mdpi AG

Published: 2022-04-25

Total Pages: 240

ISBN-13: 9783036538150

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Most papers published in this Special Issue of Mathematics are written by the participants of the XXXVI International Seminar on Stability Problems for Stochastic Models, 21-25 June, 2021, Petrozavodsk, Russia. The scope of the seminar embraces the following topics: - Limit theorems and stability problems; - Asymptotic theory of stochastic processes; - Stable distributions and processes; - Asymptotic statistics; - Discrete probability models; - Characterization of probability distributions; - Insurance and financial mathematics; - Applied statistics; - Queueing theory; and other fields. This Special Issue contains 12 papers by specialists who represent 6 countries: Belarus, France, Hungary, India, Italy, and Russia.

Stability Problems for Stochastic Models

Stability Problems for Stochastic Models PDF

Author: Vladimir V. Kalashnikov

Publisher: Springer

Published: 2006-11-15

Total Pages: 238

ISBN-13: 3540476458

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The subject of this book is a new direction in the field of probability theory and mathematical statistics which can be called "stability theory": it deals with evaluating the effects of perturbing initial probabilistic models and embraces quite varied subtopics: limit theorems, queueing models, statistical inference, probability metrics, etc. The contributions are original research articles developing new ideas and methods of stability analysis.

An Introduction to Stochastic Modeling

An Introduction to Stochastic Modeling PDF

Author: Howard M. Taylor

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 410

ISBN-13: 1483269272

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An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Markov Chains and Stochastic Stability

Markov Chains and Stochastic Stability PDF

Author: Sean Meyn

Publisher: Cambridge University Press

Published: 2009-04-02

Total Pages: 595

ISBN-13: 1139477978

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Meyn and Tweedie is back! The bible on Markov chains in general state spaces has been brought up to date to reflect developments in the field since 1996 - many of them sparked by publication of the first edition. The pursuit of more efficient simulation algorithms for complex Markovian models, or algorithms for computation of optimal policies for controlled Markov models, has opened new directions for research on Markov chains. As a result, new applications have emerged across a wide range of topics including optimisation, statistics, and economics. New commentary and an epilogue by Sean Meyn summarise recent developments and references have been fully updated. This second edition reflects the same discipline and style that marked out the original and helped it to become a classic: proofs are rigorous and concise, the range of applications is broad and knowledgeable, and key ideas are accessible to practitioners with limited mathematical background.

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