The Proposal of Gamma Folded-Normal Distribution

Development of new flexible distributions for modeling non-negative measurements occuring in lifetime or reliability studies is a prominent research area Statistics. As being the most favoured positive definite form, Gamma distribution poses basis such improvements. It well known that transforming variable with another continuous random (X) creates Gamma-X family distributions. Following this principle, we here attempted to define X as Folded-Normal distributed which also so propose Named (GFN), our proposal generalization Half-Normal and contains more freely estimated parameters. This study evaluates some mathematical properties GFN moments illustrates estimation procedure unknown parameters through simulation study. A separate conducted compare performance Folded-Normal, Besides, practical importance illustrated by analyzing real world data set.