A new family of life distributions for dependent data: Estimation

Authors:
José A. Díaz-García;José Ramón Domínguez-Molina
Affiliations:
Department of Statistics and Computation, Universidad Autónoma Agraria Antonio Narro, 25315 Buenavista, Saltillo, Coahuila, México;Centro de Investigación en Matemáticas, A.C., Gerencia de Consultoría Estadística, 36240, Jalisco S/N, Mineral de Valenciana, Guanajuato, Guanajuato, México
Venue:
Computational Statistics & Data Analysis
Year:
2007

Citing 3
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Abstract

One of the biggest problems in reliability analysis is determining an appropriate distribution of life data. Therefore, this paper develops the estimation aspect of a family of life distributions obtained from spherical distributions. Additionally, a new family of life distributions is proposed for dependent life data, together with an optimization algorithm based on the simulated annealing method. This algorithm is very efficient for optimization purposes and does not require any manipulation of the log-likelihood functions for the distributions proposed in this study.