A practical and effective method for estimating confidence limits of population percentile and reliability of three-parameter Weibull distribution on probability weighted moment

The introduction of the full paper points out what we believe to be the shortcomings of Ref.1 authored by Fu Huimin et al. We explain in sections 1 and 2 a new method that is, in our opinion, not only more effective but also suitable for engineering problems. The core of sections 1 and 2 is: ″we propose a new method for estimating confidence limits of population percentile and reliability for three-parameter Weibull distribution by using the unbias of probability weighted moment in Refs. 2 and 3 and the good statistic properties of Bootstrap method in Refs.4 and 5, our method has clear concepts and is easy to implement.″ Section 3 analyzes two numerical examples and experimental data on fatigue life. The analysis results, given in Tables 1 and 2, show preliminarily that our method is more effective in terms of computation efficiency and precision than the existing estimation methods. The analysis of the experimental data in Ref.2 on an engineering example verifies that our method is suitable for solving engineering problems.