Farlie-Gumbel-Morgenstern copula-based modeling of non-conforming rate in bivariate lifetime data

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.

کلیدواژه ها:

Bivariate Weibull distribution ، Farlie-Gumbel-Morgenstern copula ، Lifetime performance index ، Monte Carlo procedure ، Non-conforming rate