Altinisik, YasinCeylan, TahirCankaya, Emel2025-03-232025-03-2320222536-43832564-7873https://doi.org/10.33484/sinopfbd.1164454https://search.trdizin.gov.tr/tr/yayin/detay/1145907https://hdl.handle.net/11486/3354Development of new flexible distributions for modeling non-negative measurements occuring in lifetime or reliability studies is a prominent research area in Statistics. As being the most favoured positive definite form, the Gamma distribution poses a basis for such improvements. It is well known that transforming a Gamma variable with another continuous random variable (X) creates Gamma-X family of distributions. Following this principle, we here attempted to define the X variable as Folded-Normal distributed which is also positive definite so as to propose a new family of distributions. Named as Gamma Folded-Normal distribution (GFN), our proposal is a generalization of Gamma Half-Normal distribution and contains more freely estimated parameters. This study evaluates some mathematical properties of GFN distribution such as moments and illustrates the estimation procedure for unknown parameters through a simulation study. A separate simulation is also conducted to compare the performance of this new distribution with the Folded-Normal, Half-Normal and Gamma Half-Normal distributions. Besides, the practical importance of our new proposal is illustrated by analyzing a real world data set.eninfo:eu-repo/semantics/openAccessKimyaAnalitikMatematikSpektroskopiKimyaOrganikKimyaİnorganik ve Nükleerİstatistik ve OlasılıkArticle7211613110.33484/sinopfbd.11644541145907