Coefficient of Variation of Topp-Leone Distribution Under Adaptive Type-II Progressive Censoring Scheme: Bayesian and Non-Bayesian Approach

摘要

The coefficient of variation (CV) of a population is defined as the ratio of the population standard deviation to the population mean. In applied statistics, the CV is widely used. However, inference concerning the coefficient of variation of non-normal distributions are rarely reported. So in this paper, Bayesian and non-Bayesian approach is adopted to estimate coefficient of variation (CV) of Topp-Leone distribution (TLD) under an adaptive Type-II Progressive Censoring Scheme. This approach will give us a point estimate as well as the empirical sampling distribution of CV. The results in the cases of progressive Type II censoring, Type II censoring and complete sample are special cases. The results of maximum likelihood and parametric bootstrap techniques are also proposed. Numerical example is presented for illustrative purposes. Results from simulation studies assessing the performance of our proposed method are included.