Statistical inference of the lifetime performance index for Lindley distribution under progressive first-failure censoring scheme applied to HPLC data

This paper is devoted to the construct of the maximum likelihood estimator of the lifetime performance index based on first-failure progressive right type II censored sample for Lindley distribution. Statistical inference for assessing the lifetime performance of the items is performed. Finally, two examples are given, one of them considers a real life application of blood samples from organ transplant recipient using the liquid chromatography (HPLC) data and the other is a simulated example to illustrate the proposed statistical procedure.