Analysis of Survival Times for Cancer Patients using Zero-Truncated Logistic Distribution

Shaymaa Mahood  Mohammed

Shaymaa Mahood Mohammed College of Administration and Economics, University of Misan, Amarah.

Keywords: log – logistic, Maximum Likelihood, TOM method, MOM method, IMSE, Survival Function

Abstract

This research investigates three methods—Maximum Likelihood Estimation (MLE), Trimmed Omission Method (TOM), and Method of Moments (MOM)—for estimating survival time of patients with cancerous tumors using the Log-Logistic Distribution. Background understanding indicates a need for precise survival time estimation to improve patient prognosis and treatment planning. Addressing this gap, the study aims to evaluate these methods using the integrative mean square error (IMSE) criterion. Results demonstrate the superiority of MLE over TOM and MOM in estimating the survival function for the log-logistic distribution of cancer patient data. Additionally, it confirms that the survival function decreases over time, aligning with theoretical expectations. These findings underscore the practical relevance of MLE in clinical applications for predicting patient outcomes.

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