Published

2011-05-01

ANÁLISIS BIVARIADO DE CONFIABILIDAD BASADO EN CÓPULAS

RELIABILITY BIVARIATE ANALYSIS BASED ON COPULAS

Keywords:

cópula, distribución bivariada, estimación en dos etapas, función de confiabilidad, función de verosimilitud (es)
Bivariate distribution, Copula, Likelihood function, Reliability function, Two-stage estimation (en)

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Authors

  • Pedro Enrique Monjardin Centro de Investigación en Matemáticas A. C.
  • Enrique Raúl Villa-Diharce Centro de Investigación en Matemáticas A. C.
En la industria se requieren estudios de confiabilidad para asegurar el nivel de calidad de los productos que se fabrican. Algunas veces tales productos tienen varios modos de falla que deben considerarse en el análisis de confiabilidad. Este análisis se complica cuando se incluye el patrón de dependencia de los modos de falla. En este artículo se muestra el análisis de confiabilidad de componentes que presentan dos modos de falla dependientes, expresando el patrón de dependencia de ambos modos de falla por medio de una función de cópula. Esta representación es adecuada, debido a que las distribuciones de los tiempos de falla son diferentes, Lognormal y Weibull. Se presenta un ejemplo donde se ilustra el análisis de confiabilidad de componentes con dos modos de falla.
In industry, reliability studies are done to assure the quality level of products manufactured. Sometimes these products have several failure modes that must be considered in reliability analysis. This analysis is complicated when the dependence pattern is included. In this article a reliability analysis of components that have two dependent failure modes is proposed. The dependence pattern is expressed through a copula function, this representation is appropriate, because the marginal distributions of failure times are from different families, Lognormal and Weibull. We provide an example which illustrates the reliability analysis of components with two failure modes.

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How to Cite

Monjardin, P. E., & Villa-Diharce, E. R. (2011). RELIABILITY BIVARIATE ANALYSIS BASED ON COPULAS. Revista Colombiana De Estadística, 34(2), 267-285. https://revistas.unal.edu.co/index.php/estad/article/view/29922

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