Osi, Abdulhameed AdoDOGUWA, SANIYahaya, AbubakarZakari, YahayaUSMAN, ABUBAKAR2024-03-222024-03-222024-03-21https://doi.org/10.21428/3b2160cd.145592b6https://africarxiv.ubuntunet.net/handle/1/1319https://doi.org/10.60763/africarxiv/1270https://doi.org/10.60763/africarxiv/1270https://doi.org/10.60763/africarxiv/1270A new trigonometric generalized family of distribution, the "Transmuted Cosine Topp-Leone G Family" is proposed in this study. Established on the foundations of, this family combines the adaptability of the Topp-Leone distribution with the periodicity of the cosine function and transmutation theory to produce a flexible framework that may be used to represent a wide range of real-life phenomena. We derive some of the statistical properties of the introduced family such as; survival and hazard functions, and moment and moment-generating function. Moreover, the model parameters are estimated using the Maximum Likelihood method, and a Monte Carlo simulation was performed to ascertain the behavior and the consistency of the estimates. Lastly, we demonstrate the applicability of the family on the two-lifetime datasets.enTope Leone GCosine-GTransmuted-G