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Markov Chains and Stochastic Stability
monograph
Author(s):
Sean Meyn
,
Richard L. Tweedie
,
Peter W. Glynn
Publication date
(Online):
2009
Publisher:
Cambridge University Press
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Book
ISBN:
9780511626630
Publication date (Print):
2009
Publication date (Online):
2009
DOI:
10.1017/CBO9780511626630
SO-VID:
9133e8d8-923b-4244-8c91-850daba2271a
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Book chapters
pp. xiii
Prologue to the second edition
pp. xvii
Preface to the second edition
pp. xxi
Preface to the first edition
pp. 3
Heuristics
pp. 21
Markov models
pp. 48
Transition probabilities
pp. 75
Irreducibility
pp. 96
Pseudo-atoms
pp. 123
Topology and continuity
pp. 146
The nonlinear state space model
pp. 171
Transience and recurrence
pp. 199
Harris and topological recurrence
pp. 229
The existence of π
pp. 256
Drift and regularity
pp. 288
Invariance and tightness
pp. 313
Ergodicity
pp. 336
f-Ergodicity and f-regularity
pp. 362
Geometric ergodicity
pp. 392
V-Uniform ergodicity
pp. 421
Sample paths and limit theorems
pp. 462
Positivity
pp. 482
Generalized classification criteria
pp. 510
Epilogue to the second edition
pp. 529
APPENDICES
pp. 532
Mud maps
pp. 538
Testing for stability
pp. 543
Glossary of model assumptions
pp. 552
Some mathematical background
pp. 567
Bibliography
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