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Issue title: Mathematical Modelling in Computational and Life Sciences
Guest editors: Ahmed Farouk
Article type: Research Article
Authors: Almarashi, Abdullah M.a | Algarni, Alia | Abd-Elmougod, G.A.b; *
Affiliations: [a] Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabi | [b] Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt
Correspondence: [*] Corresponding author. G.A. Abd-Elmougod, Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt. E-mail: [email protected].
Abstract: Time to failure in the lifetime experiments, common that units or individuals are failure with more than one caused of failure defined by competing risks problem. In this paper, we consider the problem of competing risks model when the failure time of units or individuals have Nadarajaha and Haghighi lifetime distribution [1] based on type-II censoring schemes. The point and interval estimates of model parameters are discussed with maximum likelihood and Bayes methods. In Bayesian approach, the MCMC method is employed. The theoretical results are discussed through real life data analysis and simulation study. Finally, we discussed the numerical results in some brief comments.
Keywords: Nadarajaha and Haghighi distribution, competing risks model, MCMC, classical and bayesian estimation
DOI: 10.3233/JIFS-179546
Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2591-2601, 2020
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