A NEW EXTENSION OF LOG-LOGISTIC DISTRIBUTION APPLIED TO DEMOGRAPHIC AND PUBLIC HEALTH DATA IN INDIA

This article introduces the SMPLog-logistic distribution (SMPLLD), a new continuous probability distribution developed as an extension of the log-logistic distribution using the SMP (Shamshad, Murtaza, Parvaiz) technique. It explores the distribution’s statistical and reliability properties and utilizes various parameter estimation methods, including Maximum Likelihood, Maximum Product Spacings, Anderson-Darling, Cramer-Von Mises and Ordinary and Weighted Least Squares techniques. An extensive simulation study evaluates the performance and robustness of these estimation methods, highlighting the potential applications of SMPLLD in statistical modeling and reliability analysis.