Farlie-Gumbel-Morgenstern copula-based modeling of non-conforming rate in bivariate lifetime data
نویسندگان
1 Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
doi
10.22034/jsmta.2026.23523.1188چکیده
The lifetime performance index is a widely accepted measure for evaluating a process capability in terms of both its actual and expected performance. In manufacturing contexts, a product is typically considered acceptable if its lifetime exceeds a specified minimum threshold. This study investigates statistical inference for the nonconforming rate of a two-component system, in which the dependence between the two lifetime characteristics is modeled using the Farlie-Gumbel-Morgenstern copula. The marginal distributions of both components are assumed to follow Weibull distributions. A numerical example is presented to illustrate the practical application of the proposed approaches.