A Transmuted Half-logistic Distribution with Trigonometric Transformation: Properties and Applications

This article introduces a novel transmuted half-logistic distribution by incorporating trigonometric functions into its transformation structure. The proposed distribution extends the classical half-logistic model, enhancing its effectiveness in capturing skewness and heavy-tail behaviour in data. We derive its statistical properties, moments, reliability measures and so on. Various parametric estimation procedures are employed to estimate the parameters, and simulation experiments are conducted to study their efficiency. In addition, the applicability of this model is demonstrated through real-world data analysis, showcasing its superiority over several established distributions based on various measures of criterion.

AMS Subject Classification: 62E15, 62E10, 60E05