## A renewal version of the Sanov theorem.(English)Zbl 1307.60121

Summary: Large deviations for the local time of a process $$X_t$$ are investigated, where $$X_t = x_i$$ for $$t\in [S_{i-1},S_i[$$ and $$(x_j)$$ are i.i.d. random variables on a Polish space, $$S_j$$ is the $$j$$-th arrival time of a renewal process depending on $$(x_j)$$. No moment conditions are assumed on the arrival times of the renewal process.

### MSC:

 60K05 Renewal theory 60F10 Large deviations

### Keywords:

renewal processes; large deviations; Sanov theorem; heavy tails
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