Some Strong Deviation Theorems forRandom Sum of Discrete Stochastic Sequence

WANGZhong-zhi[1] LIUWen[2]

[1]FacultyofMathematics&Physics,AnhuiUniversityofTechnology,Ma′anhan243002,China [2]DepartmentofMathematics,HebeiUniversityofTechnology,Tianjin300130,China

摘  要:

In this paper, the notion of limit random logarithmic likelihood ratio of stochastic se-quences,as a measure of “dissimilarity“ between their joint distributions and the product of theirmarginals,is introduced. Construct a. s. convergence supermartingale by means of truncation methodand under suitable restrict Chung-Teicher type conditions,some strong deviation theorems for arbi-trary discrete stochastic sequence are obtained.

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