Estimations of accelerated Lomax lifetime distribution with a dependent competing risks model under type-I generalized hybrid censoring scheme

• Published in: Alexandria engineering journal Vol. 61; no. 8; pp. 6489 - 6499
• Main Authors: Alghamdi, Abdulaziz S., Elhafian, Mubarak H., Aljohani, Hassan M., Abd-Elmougod, G.A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-08-2022; Elsevier
• Subjects: Accelerated life testing; Bootstrap confidence intervals; Competing risk model; Copula function; Generalized hybrid censoring scheme; Lomax distribution; Maximum likelihood estimation; Maximum likelihood estimation; Bootstrap confidence intervals; Copula function; Lomax distribution; Accelerated life testing; Competing risk model; Generalized hybrid censoring scheme
• ISSN: 1110-0168
• DOI: 10.1016/j.aej.2021.12.006

In a reliability theory, the statistical inference under accelerated competing risks model have a great significance. This model proposes the assumption of independence of variables for convenience. But, in general this assumption doesn't agree with the nature of the problem at hand. In this paper, we proposed a step stress accelerated life testing (ALT) model on the dependent competing risk modes of life Lomax distribution (LD). The structural problem of the dependence between variables discussed copula approach. Also, we are considering the units of the product fails under two dependent fatal risks and the failure times accelerated under step stress ALTs and censored with type-I generalized hybrid censoring scheme (GHCS). The parameters of this model are estimated by maximum likelihood method. Also, the confidence intervals are discussed with asymptotic and two bootstrap confidence intervals. The Monte Carlo simulation study conducted to measure the quality of the proposed methods. Finally, we report some points to describe the numerical results.