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Limit theorems for functionals of ergodic Markov chains with general state space

About this Title

Xia Chen

Publication: Memoirs of the American Mathematical Society
Publication Year 1999: Volume 139, Number 664
ISBNs: 978-0-8218-1060-6 (print); 978-1-4704-0253-2 (online)
MathSciNet review: 1491814
MSC: Primary 60J05; Secondary 60F05, 60F15

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Table of Contents


  • I. Split chain and regeneration
  • II. The central limit theorem
  • III. The law of the iterated logarithm
  • IV. The moderate deviation principle