Approximate maximum product spacing estimation of Weibull distribution under progressive hybrid censoring

Abstract

Under classical estimation set up, the maximum product spacings estimation (MPSE) method is quite effective and several authors advocated the use of this method as an alternative to maximum likelihood estimation (MLE) method, and found that this estimation method provides better estimates than maximum likelihood estimates in various situations. In this paper, we propose the estimators of the parameters of the Weibull distribution (WeibD) under progressive hybrid censoring scheme. First, we derive the MPSEs for the parameters of WeibD. Also, we derive the approximate MPSEs for the parameters of WeibD using Talyor series expansion. And we compare the proposed estimators in the sense of mean squared error (MSE) and bias under progressive hybrid censoring scheme. Finally, the validity of the proposed methods are demonstrated by a real data.