Sindhu, Tabassum NazJarad, FahdLone, Showkat Ahmad02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-02-222025-09-182024-02-222025-09-182022Lone, Showkat Ahmad; Sindhu, Tabassum Naz; Jarad, F. (2022). "Additive Trinomial Fréchet distribution with practical application", Results in Physics, Vol.33, pp.1-14.2211-3797https://doi.org/10.1016/j.rinp.2021.105087https://hdl.handle.net/20.500.12416/13985Lone, Showkat Ahmad/0000-0001-7149-3314; Sindhu, Tabassum/0000-0001-9433-4981This article presents an innovative model called Additive Trinomial Fre chet (ATF) distribution using six parameters. The indicated model is worthy of modeling survival data with a non-monotonic hazard rate. The statistical characteristics of ATF model such as probability generating function, Renyi, Shannon, Tsallis and Mathai-Houbold entropy, quantile function, order statistics, maximum likelihood estimation, factorial and characteristic function, moment generating function, Stress-Strength analysis are thoroughly discussed. The effectiveness of suggested model is demonstrated by the use of a data set from real life. The suggested model has demonstrated better performance and fits the data used superior than other significant counterparts.eninfo:eu-repo/semantics/openAccessAdditive Trinomial Frechet ModelStress-Strength AnalysisEntropyStochastic OrderConditional MomentsLifetime AnalysisArticle10.1016/j.rinp.2021.1050872-s2.0-85122018122