Likelihood ratio test change point detection for the Weibull distribution with random censored data

This paper deals with the change point problem for the Weibull distribution with random censored data. Change point problem with random censored data has not yet been studied in literature. We establish the likelihood function of the parameters of the data and provide the change point detection procedure by likelihood ratio test. Simulations are conducted to illustrate the performance of the proposed procedure. In the end, the proposed method is applied to the Stanford heart transplant data.