The accelerated failure time regression model under the extended-exponential distribution with survival analysis

Veronica Kariuki; Anthony Wanjoya; Oscar Ngesa; Mahmoud M. Mansour; Enayat M. Abd Elrazik; Ahmed Z. Afify; Veronica Kariuki; Anthony Wanjoya; Oscar Ngesa; Mahmoud M. Mansour; Enayat M. Abd Elrazik; Ahmed Z. Afify

doi:10.3934/math.2024754

AIMS Mathematics

2024, Volume 9, Issue 6: 15610-15638. doi: 10.3934/math.2024754

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Research article

The accelerated failure time regression model under the extended-exponential distribution with survival analysis

1.
Department of Mathematics, Pan African University Institute for Basic Sciences, Technology and Innovation, Nairobi 00200, Kenya
2.
Department of Statistics and Actuarial Sciences, Jomo Kenyatta University of Agriculture and Technology, Nairobi 00200, Kenya
3.
Department of Mathematics, Statistics and Physical Science, Taita Taveta University, Voi 80300, Kenya
4.
Department of Management Information Systems, Yanbu, Taibah University, Yanbu 46422, Saudi Arabia
5.
Department of Statistics, Mathematics, and Insurance, Benha University, Benha 13511, Egypt

Received: 04 February 2024 Revised: 10 April 2024 Accepted: 18 April 2024 Published: 29 April 2024
MSC : 60E05, 62E99

In this paper, we propose a parametric accelerated failure time (AFT) hazard-based regression model with the extended alpha-power exponential (EAPE) baseline distribution. The proposed model is called the extended alpha-power exponential-AFT (EAPE-AFT) regression model. We show that the EAPE distribution is closed under the AFT model. The parameters of the proposed EAPE-AFT model have been estimated by using the method of maximum likelihood estimation. An extensive simulation study was also conducted to examine the performance of the estimates under several scenarios based on the shapes of the baseline hazard function. Finally, real-life censored survival data has been used to illustrate the applicability of the proposed model.
- censored survival data,
- exponential distribution,
- survival regression model,
- hazard rate,
- maximum likelihood estimation,
- simulation
Citation: Veronica Kariuki, Anthony Wanjoya, Oscar Ngesa, Mahmoud M. Mansour, Enayat M. Abd Elrazik, Ahmed Z. Afify. The accelerated failure time regression model under the extended-exponential distribution with survival analysis[J]. AIMS Mathematics, 2024, 9(6): 15610-15638. doi: 10.3934/math.2024754

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Abstract

In this paper, we propose a parametric accelerated failure time (AFT) hazard-based regression model with the extended alpha-power exponential (EAPE) baseline distribution. The proposed model is called the extended alpha-power exponential-AFT (EAPE-AFT) regression model. We show that the EAPE distribution is closed under the AFT model. The parameters of the proposed EAPE-AFT model have been estimated by using the method of maximum likelihood estimation. An extensive simulation study was also conducted to examine the performance of the estimates under several scenarios based on the shapes of the baseline hazard function. Finally, real-life censored survival data has been used to illustrate the applicability of the proposed model.

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