Abstract: In this paper, the authors prove that the MLE in random censoring model with incomplete information obeys the Chung type law of the iterated logarithm under some mild conditions. As a corollary, the Chung type laws of the iterated logarithm of the MLE of parameters of exponential lifetime distribution and Weibull distribution are obtained.

Key words: Random censoring model with incomplete information, Weibull distribution, MLE, Chung type law of the iterated logarithm