LIU Wen. Limit Relative Log-likelihood Ratio and a Class of Strong Deviation Theorems[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(3): 269-276.
Citation: LIU Wen. Limit Relative Log-likelihood Ratio and a Class of Strong Deviation Theorems[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(3): 269-276.

Limit Relative Log-likelihood Ratio and a Class of Strong Deviation Theorems

  • The notion of limit relative log-likelihood ratio γ(ω)is introduced to investigate the limit propertis of the sequences of dependent discrete random variables. A class of strong limit theorems represented by inequalities which we call the strong deviation theorems are obtained. The bounds given by these theorems depend on γ(ω).
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