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- W2070856327 abstract "We demonstrate that the residual lifetime distribution of a compound geometric distribution convoluted with another distribution, termed a compound geometric convolution, is again a compound geometric convolution. Conditions under which the compound geometric convolution is new worse than used (NWU) or new better than used (NBU) are then derived. The results are applied to ruin probabilities in the stationary renewal risk model where the convolution components are of particular interest, as well as to the equilibrium virtual waiting time distribution in the G/G/1 queue, an approximation to the equilibrium M/G/c waiting time distribution, ruin in the classical risk model perturbed by diffusion, and second-order reliability classifications." @default.
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- W2070856327 date "2004-09-01" @default.
- W2070856327 modified "2023-09-26" @default.
- W2070856327 title "On applications of residual lifetimes of compound geometric convolutions" @default.
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- W2070856327 doi "https://doi.org/10.1239/jap/1091543427" @default.
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