Assessing the lifetime performance index with Lomax distribution based on progressive type I interval censored sample

Xuehua Hu and Wenhao Gui

Journal of Applied Statistics, 2020, vol. 47, issue 10, 1757-1775

Abstract: In manufacturing industry, the lifetime performance index $C_L $CL is applied to evaluate the larger-the-better quality features of products. It can quickly show whether the lifetime performance of products meets the desired level. In this article, first we obtain the maximum likelihood estimator of $C_L $CL with two unknown parameters in the Lomax distribution on the basis of progressive type I interval censored sample. With the MLE we proposed, some asymptotic confidence intervals of $C_L $CL are discussed by using the delta method. Furthermore, the MLE of $C_L $CL is used to establish the hypothesis test procedure under a given lower specification limit L. In addition, we also conduct a hypothesis test procedure when the scale parameter in the Lomax distribution is given. Finally, we illustrate the proposed inspection procedures through a real example. The testing procedure algorithms presented in this paper are efficient and easy to implement.

Date: 2020
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DOI: 10.1080/02664763.2019.1693523

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