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• W2980771532 abstract "Consider a stochastic process $mathfrak{X}$, regenerative at a state $x$ which is instantaneous and regular. Let $L$ be a regenerative local time for $mathfrak{X}$ at $x$. Suppose furthermore that $mathfrak{X}$ can be approximated by discrete time regenerative processes $mathfrak{X}^n$ for which $x$ is accesible. We give conditions on $mathfrak{X}$ and $mathfrak{X}^n$ so that the naturally defined local time of $mathfrak{X}^n$ converges weakly to $L$. This limit theorem generalizes previous invariance principles that have appeared in the literature." @default.
• W2980771532 created "2019-10-25" @default.
• W2980771532 creator A5014650074 @default.
• W2980771532 creator A5089033775 @default.
• W2980771532 date "2019-10-21" @default.
• W2980771532 modified "2023-10-03" @default.
• W2980771532 title "Invariance principles for local times in regenerative settings" @default.
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