On the Study of Classical Survival Models: Log-Lomax-Weibull Analysis of Acute Myocardial Infarction Outcomes

This study proposes and applies the Log-Lomax-Weibull (LLW) parametric survival model to assess the survival experience of patients with Acute Myocardial Infarction (AMI). The LLW model integrates the flexibility of the Lomax and Weibull distributions to accommodate non-monotonic hazard functions and heavy-tailed behaviour often observed in medical survival data. The model's performance was evaluated using a real-world AMI dataset, where key covariates such as age, gender, and comorbidities were analysed. Maximum Likelihood Estimation (MLE) was employed to estimate the model parameters, with several covariates found to have a strong impact on survival time. The shape and scale parameters demonstrated statistical significance, indicating the accelerated failure time nature of the survival data. Model adequacy was further assessed using Cox-Snell residuals and graphical diagnostics, confirming the suitability of the LLW model for this dataset.