The repair alert models with fixed and random effects. Issue 2 (7th February 2019)

• Record Type: Journal Article
• Authors: Atlekhani, Mohammad; Doostparast, Mahdi
• Is Part Of: Communications in statistics. Volume 48:Issue 2(2019)
• Page Start: 385
• Page End: 395
• Publication Date: 2019-02-07
• Subjects: Fixed and random effects -- Log-location-scale family -- Random sign censoring -- Repair alert model; 62J12 -- 62N05; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2017.1381738
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: This article extends a random preventive maintenance scheme, called repair alert model, when there exist environmental variables that effect on system lifetimes. It can be used for implementing age-dependent maintenance policies on engineering devices. In other words, consider a device that works for a job and is subject to failure at a random time X, and the maintenance crew can avoid the failure by a possible replacement at some random time Z . The new model is flexible to including covariates with both fixed and random effects. The problem of estimating parameters is also investigated in details. Here, the observations are in the form of random signs censoring data (RSCD) with covariates. Therefore, this article generalizes derived statistical inferences on the basis of RSCD albeit without covariates in past literature. To do this, it is assumed that the system lifetime distribution belongs to the log-location-scale family of distributions. A real dataset is also analyzed on basis of the results obtained.