First-emptiness problems in applied probability under first-order dependent input and general output conditions
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Results for the first-emptiness time of a semi-infinite reservoir and the integral functional of the process up to first-emptiness time are derived under Markov chain input conditions and general output conditions. The results are further extended to allow an input process which is the sum of k consecutive elements of the Markov chain, k ≧ 1.
1973 ◽
Vol 10
(02)
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pp. 330-342
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