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Markov Modulated Processes And Semiregenerative Phenomena


Markov Modulated Processes And Semiregenerative Phenomena
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Markov Modulated Processes And Semiregenerative Phenomena


Markov Modulated Processes And Semiregenerative Phenomena
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Author : Loon Ching Tang
language : en
Publisher: World Scientific
Release Date : 2009

Markov Modulated Processes And Semiregenerative Phenomena written by Loon Ching Tang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.



Markov Modulated Processes Semiregenerative Phenomena


Markov Modulated Processes Semiregenerative Phenomena
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Author : Ant¢nio Pacheco
language : en
Publisher: World Scientific
Release Date : 2009

Markov Modulated Processes Semiregenerative Phenomena written by Ant¢nio Pacheco and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.



Continuos Time Markov Modulated Chains In Operations Research


Continuos Time Markov Modulated Chains In Operations Research
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Author : Alexander M Andronov
language : en
Publisher: World Scientific
Release Date : 2024-04-22

Continuos Time Markov Modulated Chains In Operations Research written by Alexander M Andronov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-22 with Mathematics categories.


Probabilistic models are widely used for description and an analysis of various processes in system reliability, risk, queuing, data communication, logistic and storage systems. The book contains various applications of the theory of continuous-time Markov-modulated processes in operation research. All analytical results are illustrated by numerical computations. Used algorithms allow overcoming computation difficulties successfully. For example, a calculation of transient probabilities of states for a continuous-time finite Markov chain uses eigenvalues and eigenvectors of the corresponding matrix (generator). In a more complex case of differential or integral equations, such a simple explicit form of a solution is missing. The explicit form of solution is presented by means of infinity sums of functions. For example, often we have to deal with the so-called renewal equation. Its solution is presented as an infinite sum of the renewal function. In this case, an approximation of functions of interest and iterative computation procedures are used.



Reliability And Statistics In Transportation And Communication


Reliability And Statistics In Transportation And Communication
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Author : Igor Kabashkin
language : en
Publisher: Springer Nature
Release Date : 2020-03-28

Reliability And Statistics In Transportation And Communication written by Igor Kabashkin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-28 with Technology & Engineering categories.


This book reports on cutting-edge theories and methods for analyzing complex systems, such as transportation and communication networks and discusses multi-disciplinary approaches to dependability problems encountered when dealing with complex systems in practice. The book presents the most noteworthy methods and results discussed at the International Conference on Reliability and Statistics in Transportation and Communication (RelStat), which took place in Riga, Latvia on October 16 – 19, 2019. It spans a broad spectrum of topics, from mathematical models and design methodologies, to software engineering, data security and financial issues, as well as practical problems in technical systems, such as transportation and telecommunications, and in engineering education.



Multivariate Statistics


Multivariate Statistics
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Author : Tonu Kollo
language : en
Publisher: World Scientific
Release Date : 2013

Multivariate Statistics written by Tonu Kollo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.


The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson-Kotz-Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms.



Multivariate Statistics Theory And Applications Proceedings Of The Ix Tartu Conference On Multivariate Statistics And Xx International Workshop On Matrices And Statistics


Multivariate Statistics Theory And Applications Proceedings Of The Ix Tartu Conference On Multivariate Statistics And Xx International Workshop On Matrices And Statistics
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Author : Tonu Kollo
language : en
Publisher: World Scientific
Release Date : 2013-03-25

Multivariate Statistics Theory And Applications Proceedings Of The Ix Tartu Conference On Multivariate Statistics And Xx International Workshop On Matrices And Statistics written by Tonu Kollo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-25 with Mathematics categories.


The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson-Kotz-Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms.



Topics In Statistical Simulation


Topics In Statistical Simulation
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Author : V.B. Melas
language : en
Publisher: Springer
Release Date : 2014-12-05

Topics In Statistical Simulation written by V.B. Melas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Mathematics categories.


The Department of Statistical Sciences of the University of Bologna in collaboration with the Department of Management and Engineering of the University of Padova, the Department of Statistical Modelling of Saint Petersburg State University, and INFORMS Simulation Society sponsored the Seventh Workshop on Simulation. This international conference was devoted to statistical techniques in stochastic simulation, data collection, analysis of scientific experiments, and studies representing broad areas of interest. The previous workshops took place in St. Petersburg, Russia in 1994, 1996, 1998, 2001, 2005, and 2009. The Seventh Workshop took place in the Rimini Campus of the University of Bologna, which is in Rimini’s historical center.



Statistical Modeling And Simulation For Experimental Design And Machine Learning Applications


Statistical Modeling And Simulation For Experimental Design And Machine Learning Applications
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Author : Jürgen Pilz
language : en
Publisher: Springer Nature
Release Date : 2023-10-19

Statistical Modeling And Simulation For Experimental Design And Machine Learning Applications written by Jürgen Pilz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-19 with Mathematics categories.


This volume presents a selection of articles on statistical modeling and simulation, with a focus on different aspects of statistical estimation and testing problems, the design of experiments, reliability and queueing theory, inventory analysis, and the interplay between statistical inference, machine learning methods and related applications. The refereed contributions originate from the 10th International Workshop on Simulation and Statistics, SimStat 2019, which was held in Salzburg, Austria, September 2–6, 2019, and were either presented at the conference or developed afterwards, relating closely to the topics of the workshop. The book is intended for statisticians and Ph.D. students who seek current developments and applications in the field.



Stochastic Storage Processes


Stochastic Storage Processes
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Author : N.U. Prabhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic Storage Processes written by N.U. Prabhu 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 is a revised and expanded version of the earlier edition. The new material is on Markov-modulated storage processes arising from queueing and data commu nication models. The analysis of these models is based on the fluctuation theory of Markov-additive processes and their discrete time analogues, Markov random walks. The workload and queue length processes, omitted from the earlier edition, are also presented. In addition, many sections have been rewritten, with new re sults and proofs, as well as further examples. The mathematical level and style of presentation, however, remain the same. Chapter I contains a comprefensive treatment of the waiting time and related quantities in a single server queue, combining Chapters 1 and 2 of the earlier edition. In Chapter 2 we treat the (continuous time) workload and queue length processes using their semiregenerative properties. Also included are bulk queues omitted from the earlier edition, but included in its Russian translation. The queue MIMIl is presented in Chapter 3. This is the so-called simple queue, but its treat ment in most of the literature is far from simple. Our analysis of the queue length process is elementary and yields explicit results for various distributions of interest. are treated in Chapter 4, combining Chapters 3 Continuous time storage models and 4 of the earlier edition. We present extensive new material, omitting much of the old Chapter 4. This has resulted in a streamlined account of this important class of models.



Markov Modulated Stochastic Storage Processes


Markov Modulated Stochastic Storage Processes
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Author : Yixin Zhu
language : en
Publisher:
Release Date : 1989

Markov Modulated Stochastic Storage Processes written by Yixin Zhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Markov processes categories.