Parameter Estimation Method of Extreme Value Distribution under Periodic Inspection Based on Interval Statistic

Abstract

In order to solve the reliability estimation with periodic inspection test data of products, the parameter estimation method of extreme value distribution based on interval statistic is given in this paper. The mean and variance formulas of interval statistic for the periodic inspection test data are given, the best linear unbiased estimation of extreme value distribution parameters under periodic inspection is also established, and the confidence limits of extreme value distribution percentile for the periodic inspection test data are obtained based on it.