The Existence of a Unique Invariant Probability Measure for a Markov Process $X_{n+1}=f(X_n)+varepsilon_{n+1}$

  • Lee, Oe-Sook (Department of Statistics, Ewha Womens University)
  • Published : 1989.06.01

Abstract

We consider a Markov proces ${X_n} on [0,\infty)^k$ which is generated by $X_{n+1} = f(X_n) + \varepsilon_{n+1}$ where f is a continuous, nondecreasing concave function. Sufficient conditions for the existence of a unique invariant probability measure for ${X_n}$ are obtained.

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