Generalized Skew Flexible Normal Distributions with Applications

Music City Center 

Based on previous research featuring generalized distributions, we propose an extension to both generalized skew normal distributions introduced Kumar and Anusree (2011) and skew flexible normal distributions proposed by Gómez et al. (2011). The properties of this family of distributions are explored, and the parameters are estimated using the maximum likelihood method. Two simulation studies are conducted, along with two real data examples, to demonstrate the primary findings.

flexibility

bimodal

skew normal

asymmetric 

Section on Statistical Computing