Measuring the Distance Between MAPs and Some Applications
This paper provides closed form expressions for the squared distance between the joint density functions of \(k\) successive inter-arrival times of two MAPs. The squared distance between the autocorrelation functions of two MAPs is expressed in a closed form as well.
Based on these results a simple procedure is developed to approximate a RAP by a MAP, in order to reduce the number of phases or to obtain a Markovian representation.
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