A Renewal version of the Sanov theorem

Abstract

Large deviations for the local time of a process Xt are investigated, where Xt=xi for t ∈ [Si-1,Si[ and (xj) are i.i.d.\ random variables on a Polish space, Sj is the j-th arrival time of a renewal process depending on (xj). No moment conditions are assumed on the arrival times of the renewal process.

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