Computational comparison of prediction future lifetime of electronic components with Pareto distribution based on multiply type II censored samples

Abstract

We propose the weighted moments estimators (WMEs) of scale parameter σ of Pareto distribution with known shape parameter based on multiply type II censored sample of electronic components Y ( r+1) < ⋯ < Y ( r+ k) < Y ( r+ k+ l+1) < ⋯ < Y ( n− s) . Hence, we use these WMEs and best linear unbiased estimator (BLUE) of scale parameter to find pivotal quantities and obtain the prediction lifetime of the jth future observation for electronic components ( Y ( j) , n − s < j ⩽ n) based on the above censored sample. Finally, we give the Monte Carlo simulation to assess the behaviors of these pivotal quantities for establishing prediction intervals of lifetime for the jth future observation of electronic components ( Y ( j) , n − s < j ⩽ n).