On the First Passage Time Distribution for a Class of Markov Chains.

Abstract

Consider a stochastically monotone Markov chain with monotone paths on a partially ordered countable set S. Let C be an increasing subset of S with finite complement. Then the first passage time from an element of S to C is shown to be IFRA (increasing failure rate on the average). Several applications are presented including coherent systems, shockmodels, and convolutions of IFRA distributions. (Author)

Keywords

MARKOV CHAIN
FAILURE RATE
TIME DISTRIBUTION
PASSAGE TIME
MONOTONE PATHS
PRESENTED INCLUDING
INCLUDING COHERENT

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