Caracterización y aplicación de la distribución Birnbaum-Saunders como modelo de tiempos de vida

Authors

  • Edgar Espinosa Cuello Departamento de Estadística y Cálculo, Universidad Autónoma Agraria Antonio Narro, México
  • Mario Cantú Sifuentes Departamento de Estadística y Cálculo, Universidad Autónoma Agraria Antonio Narro, México
  • Víctor Leiva Sánchez Departamento de Estadística, Universidad de Valparaíso, Chile.

DOI:

https://doi.org/10.59741/agraria.v1i1.303

Keywords:

Birnbaum-Saunders distribution, Fatigue of materials, Goodness-of-fit tests

Abstract

Characterization andApplication of the Birnbaum-Saunders Distribution as Life Time Model. The Birnbaum-Saunders distribution was developed originally to modeling lifetimes of materials exposed to fatigue tests. In this work three examples with real data, where such a distribution is applied, are studied. It is taken into account both cases: complete and censored data. As a fourth example, a computationalalgorithm for simulation of data from a Birmaum-Saunders distribution is presented.

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References

Birnbaum, Z.W., Saunders, S.C. (1969a). A new family of life distributions. Journal of applied prob ability 6: 3 19-327. DOI: https://doi.org/10.2307/3212003

(1969b). Estimation for a family of life dis tribution with applications to fatigue. Journal of ap plied probability 6: 328-347. DOI: https://doi.org/10.2307/3212004

Brown, M.W., Miller, K.J. (1978). Biaxial fatigue data. Report CEMR1178, University of Sheffield. Department of mechanical engineering.

Desmond, A.F. (1983). A local maxim of station ary stochastic processes and stochastic modeling of fatigue. Ph.D. Thesis, University of Waterloo.

(1985). Stochastic models of failure in ran dom environments. Canadian journal of statistics 13: 171-183. DOI: https://doi.org/10.2307/3315148

(1986). On the relationship between two fa tigue-life models. IEEE transactions on reliability 35: 167-169. DOI: https://doi.org/10.1109/TR.1986.4335393

Díaz García, J.A., Leiva Sánchez, V. (2002). Anew family of life distributions based on Birnbaum Saunders distribution. Reporte Técnico CIMAT 03.09.2002,I-02-17(PE), Centro de Investigaciones Matemáticas, Guanajuato, México. (http:/1www.cimat.mx/biblioteca/RepTec).

Engelhardt, M., Bain, L. J. and Wright, F.T. (1 981). Inferences on the parameters of the Birnbaum Saunders fatigue life distribution based on maximum likelihood estimation. Technometrics 23 : 25 1-256.

McCarter, K.S. (1 999). Estimation and prediction for the Birnbaum-Saunders distribution using Type-11cen sored samples, with a comparison to the Inverse Gaussian Distribution. Unpublished Ph. D. Thesis. Kansas State University, Department of Statistics, Col lege of Arts and Sciences.

Owen,W.J., Padgett,W.J. (1 999). Acelerated test mod els for system strength based on Birnbaum-Saunders distribution. Kluwer academic publishers. Lifetime data analysis 5: 133-147.Boston.

Rieck, J.R. (1995). Parameter estimation for the Birnbaum-Saunders distribution based on symmetri cally censoredsamples.Commun. Satist.Theory Meth. 24 (7): 1721-1736. DOI: https://doi.org/10.1080/03610929508831581

Rieck,J.R.,Nedelman J. (1991).Alog-linearmodelforthe Birnbaurn-Saundersdistribution.Technometrics33: 51-60 DOI: https://doi.org/10.1080/00401706.1991.10484769

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Published

2004-04-30

Issue

Section

Artículos de divulgación

How to Cite

Caracterización y aplicación de la distribución Birnbaum-Saunders como modelo de tiempos de vida. (2004). Agraria, 1(1), 19-28. https://doi.org/10.59741/agraria.v1i1.303

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