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- W2024148003 abstract "For the classical dam model the distribution of the supermum of the dam content between two successive downcrossings of level x >0 by the content process is studied. The result generalizes previous results for the M/G/1 queueing system. The derivation which is rather simple is based on some recent results concerning up- and downcrossings. The resulting distribution is a functional of the solution of a renewal type integral equation occurring frequently in applied probability models. It is shown that this solution is logarithmic concave and that its reciprocal is an infinitely divisible p -function, thus leading to a number of hitherto unknown properties of a certain class of renewal functions." @default.
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- W2024148003 date "1978-02-01" @default.
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- W2024148003 title "On the maximal content of a dam and logarithmic concave renewal functions" @default.
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- W2024148003 doi "https://doi.org/10.1016/0304-4149(78)90026-1" @default.
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