Markov Processes - Characterization and
SN Ethier(Author)
Wiley (Publisher)
Published on 27. May 2008
Software
Other digital
528 pages
978-0-470-31665-8 (ISBN)
Description
The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "[A]nyone who works with Markov processes whose state space is uncountably infinite will need this most impressive book as a guide and reference." -American Scientist "There is no question but that space should immediately be reserved for [this] book on the library shelf. Those who aspire to mastery of the contents should also reserve a large number of long winter evenings." -Zentralblatt fur Mathematik und ihre Grenzgebiete/Mathematics Abstracts "Ethier and Kurtz have produced an excellent treatment of the modern theory of Markov processes that [is] useful both as a reference work and as a graduate textbook."
-Journal of Statistical Physics Markov Processes presents several different approaches to proving weak approximation theorems for Markov processes, emphasizing the interplay of methods of characterization and approximation. Martingale problems for general Markov processes are systematically developed for the first time in book form. Useful to the professional as a reference and suitable for the graduate student as a text, this volume features a table of the interdependencies among the theorems, an extensive bibliography, and end-of-chapter problems.
-Journal of Statistical Physics Markov Processes presents several different approaches to proving weak approximation theorems for Markov processes, emphasizing the interplay of methods of characterization and approximation. Martingale problems for general Markov processes are systematically developed for the first time in book form. Useful to the professional as a reference and suitable for the graduate student as a text, this volume features a table of the interdependencies among the theorems, an extensive bibliography, and end-of-chapter problems.
More details
Language
English
Place of publication
Hoboken
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
Professional and scholarly
Dimensions
Height: 250 mm
Width: 150 mm
Thickness: 15 mm
Weight
666 gr
ISBN-13
978-0-470-31665-8 (9780470316658)
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Schweitzer Classification
Other editions
Additional editions

E-Book
11/2009
Wiley
€127.99
Available for download
Person
About the authors Stewart N. Ethier has taught at Michigan State University, and is currently at the University of Utah. He received his PhD in mathematics at the University of Wisconsin-Madison. Thomas G. Kurtz teaches at the University of Wisconsin-Madison. He is Book Review Editor for Annals of Probability, and the author of Approximation of Population Processes. Dr. Kurtz obtained his PhD in mathematics at Stanford University.
Content
Operator Semigroups. Stochastic Processes and Martingales. Convergence of Probability Measures. Generators and Markov Processes. Stochastic Integral Equations. Random Time Changes. Invariance Principles and Diffusion Approximations. Examples of Generators. Branching Processes. Genetics Models. Density Dependent Population Processes. Random Evolutions. Appendixes. References. Index.