Some results associated with the longest run in a strongly ergodic Markov chain

This publication has 12 references indexed in Scilit:

• From Markov Chains to Non-Equilibrium Particle Systems
  Published by World Scientific Pub Co Pte Ltd ,2004
• On the length of the longest run in a multi-state Markov chain
  Statistics & Probability Letters, 2003
• Compound Poisson approximation for counts of rare patterns in Markov chains and extreme sojourns in birth-death chains
  The Annals of Applied Probability, 2000
• On Runs and Longest Run Tests: A Method of Finite Markov Chain Imbedding
  Journal of the American Statistical Association, 1996
• Longest runs in a sequence ofm-dependent random variables
  Probability Theory and Related Fields, 1992
• [The Unifying Role of Iterative Generalized Least Squares in Statistical Algorithms]: Comment
  Statistical Science, 1989
• Two Moments Suffice for Poisson Approximations: The Chen-Stein Method
  The Annals of Probability, 1989
• On the Length of the Longest Head-Run for a Markov Chain with Two States
  Theory of Probability and Its Applications, 1982
• Poisson Approximation for Dependent Trials
  The Annals of Probability, 1975
• An approximation theorem for sums of certain randomly selected indicators
  Probability Theory and Related Fields, 1975