A Renewal version of the Sanov theorem

preprint2014arXivOpen access

Abstract

Large deviations for the local time of a process XtX_t are investigated, where Xt=xiX_t=x_i for t∈[Si−1,Si[t \in [S_{i-1},S_i[ and (xj)(x_j) are i.i.d.\ random variables on a Polish space, SjS_j is the jj-th arrival time of a renewal process depending on (xj)(x_j). No moment conditions are assumed on the arrival times of the renewal process.

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