ARL Estimation of the Control Chart of Log Likelihood Ratios’ Sum for Markov Sequence

To evaluate the surveillance performance of a control chart with charting statistic sum log likelihood ratios in statistical process (SPC), this paper, we give proof procedure based on Markov chains for asymptotic estimation average run length (ARL) kind chart. The out-of-control ARL 1 is approximately equal to 1 any fixed in-control id="M2"> 0 negative limit. By equivalence between limit distribution and that suprema chain, derive id="M3"> large enough positive Numerical experiments are conducted confirm our results.