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.
Abbasi Ganji, Z. (2025). Farlie-Gumbel-Morgenstern copula-based modeling of non-conforming rate in bivariate lifetime data. Journal of Statistical Modelling: Theory and Applications, 6(2), 69-88. doi: 10.22034/jsmta.2026.23523.1188
MLA
Abbasi Ganji, Z. . "Farlie-Gumbel-Morgenstern copula-based modeling of non-conforming rate in bivariate lifetime data", Journal of Statistical Modelling: Theory and Applications, 6, 2, 2025, 69-88. doi: 10.22034/jsmta.2026.23523.1188
HARVARD
Abbasi Ganji, Z. (2025). 'Farlie-Gumbel-Morgenstern copula-based modeling of non-conforming rate in bivariate lifetime data', Journal of Statistical Modelling: Theory and Applications, 6(2), pp. 69-88. doi: 10.22034/jsmta.2026.23523.1188
CHICAGO
Z. Abbasi Ganji, "Farlie-Gumbel-Morgenstern copula-based modeling of non-conforming rate in bivariate lifetime data," Journal of Statistical Modelling: Theory and Applications, 6 2 (2025): 69-88, doi: 10.22034/jsmta.2026.23523.1188
VANCOUVER
Abbasi Ganji, Z. Farlie-Gumbel-Morgenstern copula-based modeling of non-conforming rate in bivariate lifetime data. Journal of Statistical Modelling: Theory and Applications, 2025; 6(2): 69-88. doi: 10.22034/jsmta.2026.23523.1188
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