Markov Chains and Stochastic Stability
2nd Edition
$99.00 (P)
Part of Cambridge Mathematical Library
- Authors:
- Sean Meyn, University of Illinois, Urbana-Champaign
- Richard L. Tweedie, University of Minnesota
- Date Published: April 2009
- availability: Available
- format: Paperback
- isbn: 9780521731829
$
99.00
(P)
Paperback
Other available formats:
eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact [email protected] providing details of the course you are teaching.
-
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.
Read more- The modern classic, available in print for the first time in 10 years
- The 1994 ORSA/TIMS Best Publication on Applied Probability Award winner, brought up to date to reflect recent developments
- Now includes a prologue by Peter W. Glynn
Reviews & endorsements
"As Glynn puts it in his prologue, "This second edition remains true to the remarkable standards of scholarship established by the first edition... This new edition does a splendid job of making clear the most important [new] developments and pointing the reader in the direction of key references to be studied in each area." The reviewer fully agrees with this assessment."
M. Iosifescu, Mathematical ReviewsSee more reviews"The second edition of Meyn and Tweedie’s Markov Chains and Stochastic Stability is out. This is great news. If you do not have this book yet, you should hurry up and get yourself a copy at a very reasonable price, and if you do own a copy already, it is probably falling apart by now from frequent use, so upgrade to the second edition."
Gennady Samorodnitsky, Journal of the American Statistical AssociationCustomer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: April 2009
- format: Paperback
- isbn: 9780521731829
- length: 624 pages
- dimensions: 247 x 174 x 32 mm
- weight: 1.12kg
- contains: 4 b/w illus.
- availability: Available
Table of Contents
List of figures
Prologue to the second edition Peter W. Glynn
Preface to the second edition Sean Meyn
Preface to the first edition
Part I. Communication and Regeneration:
1. Heuristics
2. Markov models
3. Transition probabilities
4. Irreducibility
5. Pseudo-atoms
6. Topology and continuity
7. The nonlinear state space model
Part II. Stability Structures:
8. Transience and recurrence
9. Harris and topological recurrence
10. The existence of Î
11. Drift and regularity
12. Invariance and tightness
Part III. Convergence:
13. Ergodicity
14. f-Ergodicity and f-regularity
15. Geometric ergodicity
16. V-Uniform ergodicity
17. Sample paths and limit theorems
18. Positivity
19. Generalized classification criteria
20. Epilogue to the second edition
Part IV. Appendices: A. Mud maps
B. Testing for stability
C. Glossary of model assumptions
D. Some mathematical background
Bibliography
Indexes.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×