Items related to Coupling, Stationarity, and Regeneration (Probability...
Coupling is a general method of establishing properties of random variables and processes through a joint construction on a common probability space. This method has relevance to all areas of probabilistic inquiry including quantum physics, self-similarity, relativity, and queueing theory. In addition to providing new developments in coupling, this book also includes self-contained treatments of Markov chains, stationarity, regeneration, perfect simulation, and quasi-stationarity.
"synopsis" may belong to another edition of this title.
From the Back Cover:
This is a book on coupling, the method of establishing properties of random variables and processes (or any random things) through a joint construction on a common probability space. Coupling is a general method relevant in all fields of probabilistic inquiry; however, the main thrust is towards characterizations, approximations, asymptotics, and simulation.
The book also includes self-contained treatments of stationarity (Palm theory) and regeneration (classical, wide-sense, time-inhomogeneous, and taboo regeneration). Other topics discussed are perfect simulation (MCMC) and quasi-stationarity. Links are made to several fields such as quantum physics and nonlocality, self-similarity, exchangeability, relativity, and queueing theory.
The book is organized in chapters as follows:
1. Random Variables; 2. Markov Chains and Random Walks; 3. Random Elements; 4. Stochastic Processes; 5. Shift-Coupling; 6. Markov Processes; 7. Transformation Coupling; 8. Stationarity, the Palm Dualities; 9. The Palm Dualities in Higher Dimensions; 10. Regeneration.
The book should be of interest to students and researchers in probability, stochastic modelling, and mathematical statistics. It is written with a Ph.D. student in mind, and the first two chapters can be read at a master's level and even at an advanced undergraduate level. The book is mathematically self-contained, relying only on the measure-theoretic basics and on elementary Markov chain theory.
Hermann Thorisson received his Ph.D. from the Department of Mathematics, University of Göteborg, in 1981. He worked at the University of Göteborg, at Chalmers University of Technology, and at Stanford University, until returning to his home country to become a research professor at the Science Institute, University of Iceland.
From the Inside Flap:
The book also includes self-contained treatments of stationarity (Palm theory) and regeneration (classical, wide-sense, time-inhomogeneous, and taboo regeneration). Other topics discussed are perfect simulation (MCMC) and quasi-stationarity. Links are made to several fields such as quantum physics and nonlocality, self-similarity, exchangeability, relativity, and queueing theory.
The book is organized in chapters as follows:
1. Random Variables; 2. Markov Chains and Random Walks; 3. Random Elements; 4. Stochastic Processes; 5. Shift-Coupling; 6. Markov Processes; 7. Transformation Coupling; 8. Stationarity, the Palm Dualities; 9. The Palm Dualities in Higher Dimensions; 10. Regeneration.
The book should be of interest to students and researchers in probability, stochastic modelling, and mathematical statistics. It is written with a Ph.D. student in mind, and the first two chapters can be read at a master's level and even at an advanced undergraduate level. The book is mathematically self-contained, relying only on the measure-theoretic basics and on elementary Markov chain theory.
Hermann Thorisson received his Ph.D. from the Department of Mathematics, University of Göteborg, in 1981. He worked at the University of Göteborg, at Chalmers University of Technology, and at Stanford University, until returning to his home country to become a research professor at the Science Institute, University of Iceland.
Certainly, this monograph will be useful for a wide audience of probabilists and statisticians interested in development and employment of methods of Modern Probability. It can be recommended for using in university courses on stochastic processes and their applications.
-Alexander V.Bulinski, Zentralblatt MATH, 2000
-Alexander V.Bulinski, Zentralblatt MATH, 2000
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2000
- ISBN 10 0387987797
- ISBN 13 9780387987798
- BindingHardcover
- Number of pages517
Top Search Results from the AbeBooks Marketplace
Seller Image
Coupling, Stationarity and Regeneration. [= Probability and its Applications]
Published by
New York, Springer,
(2000)
ISBN 10: 0387987797
ISBN 13: 9780387987798
Used
Hardcover
Quantity: 1
Seller:
Rating
Book Description Hardcover/Pappeinband. Condition: Gut. xiv, 517 S., 24x17 cm OPp.; ohne Umschlag. 27 s/w Ill. Leichter Leseknick im Rücken, Ecken und Kapitale leicht bestoßen; innen sehr sauber und fest; gutes bis sehr gutes Exemplar. / Hardcover, without jacket. 27 illustrations. Light crease down spine, corners and head and tail of spine bumped; clean interior, tight binding. Sprache: Englisch Gewicht in Gramm: 1050. Seller Inventory # 25951
Buy Used
US$ 82.22
Convert currency
Stock Image
Coupling, Stationarity, and Regeneration (Probability and Its Applications)
Seller:
Rating
Book Description Hardcover. Condition: Like New. Like New. book. Seller Inventory # D7F7-3-M-0387987797-6
Buy Used
US$ 234.64
Convert currency