Extension of Transmuted Halfnormal Distribution Properties and Application

Abstract

This research extended the HalfNormal distribution to Transmuted HalfNormal Distribution (THND) and it generalizes the classical HalfNormal by expanding its scope to modeling high-class random process that cannot be easily modeled with existing probability distribution. The THND was compounded and its statistical properties were obtained such as moment, hazard function, reliability, probability density and cumulative distribution function. This hybrid model can be used to capture non-normal data with highly skewed, heavily tailed and leptokurtic distribution.

Keywords:Transmuted HalfNormal Distribution, Moment, Reliability Function, hazard function and cumulative distribution function

DOI: 10.7176/DCS/12-5-03

Publication date:May 31^st 2022