Article ID Journal Published Year Pages File Type
5129751 Statistics & Probability Letters 2017 5 Pages PDF
Abstract

Consider an alternating renewal process on the states 'broken' vs 'working'. Suppose that during any interval [0,τ], the process is rewarded at rate g(t∕τ) if it is working at time t. Let Qτ be the reward that is accumulated during [0,τ]. We calculate μQτ and σQτ2 such that (Qτ−μQτ)∕σQτ converges in distribution to a standard normal distribution as τ→∞.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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