Nuevas cartas de control basadas en la distribución Birnbaum-Saunders y su implementación

Víctor Leiva, Gerson Soto, Enrique Cabrera, Guillermo Cabrera

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

17 Citas (Scopus)

Resumen

The Birnbaum-Saunders (BS) model is a life distribution with interesting properties and applications in several fields. This has transformed the BS model in an important research focus in recent decades. However, the sum of BS (BSsum) independent random variables does not follow a BS distribution. By means of the BSsum distribution, we can monitor the lifetime of products subject to failures using a quality control chart. Classic procedures for control charts assume normality in the distribution of the data. Nevertheless, one of the main characteristics of the lifetimes is that them generally follow asymmetric distributions. Therefore, if we want to monitor these lifetimes, we must consider control charts for asymmetric distributions, such as it is the case of the BS distribution. The monitoring of the lifetimes is carried out generally by the accumulated lifetime or the lifetime average until than a number of failures occurs. Thus, by using the BSsum distribution, we develop, implement and apply a new methodology for control charts based on the BS distribution.

Título traducido de la contribuciónNew control charts based on the Birnbaum-Saunders distribution and their implementation
Idioma originalEspañol
Páginas (desde-hasta)147-176
Número de páginas30
PublicaciónRevista Colombiana de Estadistica
Volumen34
N.º1
EstadoPublicada - jun. 2011
Publicado de forma externa

Palabras clave

  • Lifetime data
  • Likelihood methods
  • R computer language

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