Ergodicity of an infinite dimensional renewal process

Enrique D. Andjel and Maria E. Vares

Stochastic Processes and their Applications, 1992, vol. 42, issue 2, 215-236

Abstract: We construct an infinite dimensional renewal process whose coordinates are indexed by the integers. In this process, the failure rate of a given object is equal to the average of the ages of its neighbors plus a nonnegative constant. We show that the process is ergodic if and only if this constant is positive.

Keywords: multidimensional; renewal; proceses; ergodicity; attractiveness (search for similar items in EconPapers)
Date: 1992
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