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A class of strong deviation theorems and an approach of Laplace transformation

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Chinese Science Bulletin

Abstract

The limit properties of the dependent sequence of absolutely continuous random variables are investigated by using the notion of likelihood ratio, and a class of strong limit theorems, represented by inequalities, i.e. the strong deviation theorems, are obtained. In the proof an approach of applying the Laplace transformation to the investigation of the strong limit theorems is proposed.

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Authors and Affiliations

  1. Hebei University of Technology, 300130, Tianjin, China

    Wen Liu

Authors
  1. Wen Liu
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Liu, W. A class of strong deviation theorems and an approach of Laplace transformation. Chin. Sci. Bull. 43, 1605–1610 (1998). https://doi.org/10.1007/BF02883403

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  • DOI: https://doi.org/10.1007/BF02883403

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