A Generalized extension of Ampadu-Unit Teissier Distribution: Derivation and structural properties

Abstract

In this paper, a new modified probability distribution called A Generalized Extension of Ampadu-Unit Teissier distribution (AUTD) which extends the baseline Unit Teissier (UTD) distribution was proposed. Nevertheless, the new model distribution is capable of handling asymmetric data sets. Some statistical properties such as moments, moment generating function, quantile function, and order statistics were derived and presented theoretically. Also, we proceed to test the validity of the new constructed probability distribution. A simulation was conducted to determine the capability and efficiency of the estimated parameters value by increasing the sample size. The results show that when simulated data are being used the new probability distribution provides a better fit than the competitive models.