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

Translated title of the contribution: New control charts based on the Birnbaum-Saunders distribution and their implementation

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17 Scopus citations

Abstract

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.

Translated title of the contributionNew control charts based on the Birnbaum-Saunders distribution and their implementation
Original languageSpanish
Pages (from-to)147-176
Number of pages30
JournalRevista Colombiana de Estadistica
Volume34
Issue number1
StatePublished - 1 Jun 2011

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