Estimation and prediction for Topp–Leone distribution using double Type-I hybrid censored data

Abstract

Assuming that the life of the tested samples follows the Topp–Leone distribution, the maximum likelihood estimates and Bayesian estimates of the unknown parameter, reliability and hazard rate are obtained based on the double Type-I hybrid censored samples. According to the observed data, the conditional probability density functions of the future failure moments are obtained, and then the point predictions and interval predictions of the future failure moments are carried out. Based on the double Type-I hybrid censored data, the predictive value and predictive interval of its failure time are given for any tested sample independent and identically distributed in the Topp–Leone distribution. Finally, a numerical example is analysed and the relevant results are calculated.