Beta-Hyperhalfnormal Distribution and Its Application

Abstract

This research developed Hyper halfnormal distribution (HHND) and Beta-hyper halfnormal distribution (BHHND). The statistical properties of those distributions were studied and BHHND is found to have bathtube hazard function. The distributions are fitted to lifetime data that seemed to have bathtube distribution. From the analysis, the definition of HHND depends on the values of p and q (mixing proportion) and coefficient of variation. For q > p, we have Hyper halfnormal and it is Hypo-halfnormal if otherwise. The BHHND is useful in modeling heavily skewed, non-normal data with bathtube hazard function.