TY  - JOUR
AB  - Purpose– The purpose of this paper is to obtain some strong deviation theorems for arbitrary continuous random variable sequences under suitable restrict Chung‐Teicher type conditions.Design/methodology/approach– The crucial part of the proof is to construct a.s. convergence super‐martingale by means of the notion of limit logarithmic likelihood ratio of random variable sequences and then applying the martingale convergence theorem.Findings– The upper and lower bounds of the deviations from the sums of arbitrary continuous random sequence to their marginals are obtained.Research limitations/implications– The rigorous bounds are the main limitations which are difficult to obtain.Practical implications– A useful method to study the property of dependent random sequence.Originality/value– The paper presents the new approach of proof strong limit theorems.
VL  - 37
IS  - 9/10
SN  - 0368-492X
DO  - 10.1108/03684920810907535
UR  - https://doi.org/10.1108/03684920810907535
AU  - Chen Wenbo
ED  - Mian‐yun Chen
ED  - Yi Lin
ED  - Hejing Xiong
PY  - 2008
Y1  - 2008/01/01
TI  - A class of strong deviation theorems for continuous random variables sequence
T2  - Kybernetes
PB  - Emerald Group Publishing Limited
SP  - 1257
EP  - 1263
Y2  - 2024/04/25
ER  -