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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 19 > No. 4

 
   

Comparative Analysis of Three Distributions under Studying the Regression Competing Risks Model with HIV to AIDS Infection Application

PP: 921-944
doi:10.18576/amis/190417
Author(s)
Ehab M. Almetwally, Ahlam H.Tolba, Neveen Sayed-Ahmed,
Abstract
This paper discusses the statistical analysis of unknown parameters in competing risk data when covariates are present. The Cox regression model examines how covariates impact time-to-event data, specifically when lifetimes follow the Akshaya, exponential, and Rayleigh sub-distributions. The Bayesian method estimates and compares these unknown parameters with estimates obtained through the maximum likelihood method. Additionally, the reliability measures of the three models and relative risks are calculated. The applicability of the model is demonstrated through a comprehensive analysis of a real data set involving 329 patients transitioning from HIV infection to AIDS.

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