Statistics Analysis For Random Censoring Model With Incomplete Information

Random censoring model with incomplete information is the expansion of random censoring model.In this paper, we mainly study random censoring model with incomplete information,give model parameter estimation and generalized likelihood ratio test and discuss its properties. It enriches the theories of random censoring model.This paper is divided into five parts.In the first part,we make a brief review the type of life distribuion and the model of studying of the paper,introduce its meaning and development. In the second part,we prove that MLE for life distributed parameter is strongly consistent and asymptotically normally distributed. In the thrid part,we discuss the question of Fisher inforamtion matrix for random censoring model with incomplete information. In the fourth part,we prove the MLE converages to the parameter at the rate of the law of iterated logarithm. In the fifth part,we explore generalized likelihood ratio test.At the last, we propose some meaningful questions to be solved.