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In the view of many probabilists, author Anatolii Puhalskii's research results stand among the most significant achievements in the modern theory of large deviations. In fact, his work marked a turning point in the depth of our understanding of the connections between the large deviation principle (LDP) and well-known methods for establishing weak

This Monograph offers in-depth coverage of the recent developments in the study of the large deviation principle (LDP). The author gives a systematic treatment of a novel approach to proving the LDP for sequences of probability measures - applying ideas and methods of weak convergence theory to large deviation settings. He comprehensively investigates the relationship between large deviations and weak convergence and between probability theory...