Abstract
The similarity of the “large deviation principle, (DV1) and (DV2)” and the “weak convergence of probability measures” was used by the author in the earlier paper [9] to study the rough asymptotic behavior of large deviations by the techniques of the theory of weak convergence. This paper is a continuation of [9]. A simpler proof is given for one of the main results of [9] (“if a sequence of measures is exponentially tight, then it is relatively compact in the sense of large deviations”). The problem of large deviations for semimartingales is considered.
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