Weibull Log Logistic {Exponential} Distribution: Some Properties and Application to Survival Data

A four-parameter continuous probability model called the Weibull log-logistic {Exponential} distribution (WLLED) was introduced and studied in this research using T-log-logistic via T-R{Y} framework to extend two-parameter distribution. The objective of is explore versatility flexibility distributions modeling lifetime data. Some basic structural properties which include reliability measures hazard function, cumulative Moment, Quantile, skewness, kurtosis, mixture representation, order statistics asymptotic behavior WLLED were obtained established. shape new four parameter also investigated. simulation study conducted evaluate MLE estimates, bias, standard error for various combinations different sample sizes. efficiency WLLE compared with other related from literature five goodness-of-fit statistics: AIC, CAIC BIC, Anderson-Darling A* Cramér-Von Mises W*, methods comparison. method maximum likelihood estimation proposed estimating its parameters. An application survival times 121 patients breast cancer dataset provided displays a good fit. Finally, it recommended that can be used positively skewed real-life