Escudo de la República de Colombia
Sistema Nacional de Biliotecas - Repositorio Institucional Universidad Nacional de Colombia Biblioteca Digital - Repositorio Institucional UN Sistema Nacional de Bibliotecas UN

Weibull accelerated life testing analysis with several variables using multiple linear regression

Piña-Monarrez, Manuel R. and Ávila-Chávez, Carlos A. and Márquez-Luévano, Carlos D. (2015) Weibull accelerated life testing analysis with several variables using multiple linear regression. DYNA, 82 (191). pp. 156-162. ISSN 2346-2183

Texto completo

[img]
Vista previa
PDF - Versión Publicada
Available under License Creative Commons Attribution Non-commercial No Derivatives.

473kB

URL oficial: https://revistas.unal.edu.co/index.php/dyna/articl...

Resumen

In Weibull accelerated life test analysis (ALT) with two or more variables (X2, X3, ... Xk), we estimated, in joint form, the parameters of the life stress model r{X(t)} and one shape parameter β. These were then used to extrapolate the conclusions to the operational level. However, these conclusions are biased because in the experiment design (DOE) used, each combination of the variables presents its own Weibull family (βi, ηi). Thus the estimated β is not representative. On the other hand, since (βi, ηi) is determined by the variance of the logarithm of the lifetime data σt2 , the response variance σy2 and the correlation coefficient R2, which increases when variables are added to the analysis, β is always overestimated. In this paper, the problem is statistically addressed and based on the Weibull families (βi, ηi) a vector Yη is estimated and used to determine the parameters of r{X(t)}. Finally, based on the variance σy2 of each level, the variance of the operational level σop2 is estimated and used to determine the operational shape parameter βop. The efficiency of the proposed method is shown by numerical applications and by comparing its results with those of the maximum likelihood method (ML).

Tipo de documento:Artículo - Article
Palabras clave:ALT analysis, Weibull analysis, multiple linear regression, experiment design.
Temática:6 Tecnología (ciencias aplicadas) / Technology > 62 Ingeniería y operaciones afines / Engineering
Unidad administrativa:Revistas electrónicas UN > Dyna
Código ID:59036
Enviado por : Dirección Nacional de Bibliotecas STECNICO
Enviado el día :31 Oct 2017 17:20
Ultima modificación:27 Noviembre 2017 22:06
Ultima modificación:27 Noviembre 2017 22:06
Exportar:Clic aquí
Estadísticas:Clic aquí
Compartir:

Solamente administradores del repositorio: página de control del ítem

Vicerrectoría de Investigación: Número uno en investigación
Indexado por:
Indexado por Scholar Google WorldCat DRIVER Registry of Open Access Repositories OpenDOAR Metabiblioteca BDCOL OAIster Red de repositorios latinoamericanos DSpace BASE Open archives La referencia Colombiae Open Access Theses and Dissertations Tesis latinoamericanas CLACSO
Este sitio web se ve mejor en Firefox