A Transmuted Survival Kappa Distribution: Properties and Applications

The author proposes a new four-parameter distribution that aims to provide a more flexible approach to modelling real-life data compared to commonly used lifetime distributions defined. We define a new lifetime model called (Transmuted Survival Kappa Distribution (TSK)), is derived using a transmuted survival method. The methodology involves using “The Probability Density Function and Cumulative Distribution Function” of the Kappa Distribution as the foundation of TSK. By substituting these functions into the transmuted survival model, the authors create a novel and adaptable lifetime distribution capable of accurately modeling real-life data.The study’s conclusions highlight that the hazard rate of TSK increases over time. Furthermore, the authors demonstrate that TSK offers a significantly better fit compared to existing distributions like: The Three-Parameter Kappa Distribution, Three-Parameter Lindely Distribution (LTD), Exponential Distribution (EXP) and Weibull distribution (WD). Notably, New Distribution has the .ability to model Hazard Rates, this makes it particularly suitable for data that other distributions do not fit. Therefore, we suggest using the new distribution for applications in various fields, including, .Reliability studies, earthquake .data analysis, and more.