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- W2083004389 abstract "By a backward time is meant a random time which only depends on the future, in the same sense as a stopping time only depends on the past. We show that backward times taking values in a regenerative set $M$ split $M$ into conditionally independent subsets. The conditional distributions of the past may further be identified with the Palm distributions $P_t$ with respect to the local time random measure $xi$ of $M$ both a.e. $Exi$ and wherever ${P_t}$ has a continuous version. Continuity of ${P_t}$ occurs essentially where $Exi$ has a continuous density, and the latter continuity set may be described rather precisely in terms of the growth rate and regularity properties of the Levy measure of $M$." @default.
- W2083004389 created "2016-06-24" @default.
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- W2083004389 date "1981-10-01" @default.
- W2083004389 modified "2023-09-24" @default.
- W2083004389 title "Splitting at Backward Times in Regenerative Sets" @default.
- W2083004389 doi "https://doi.org/10.1214/aop/1176994308" @default.
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