Open AccessAlpha Power Transformed Extended Bur II Distribution: Properties and Applications
Author(s) -
Adebisi Ade Ogunde,
B. Ajayi,
D. O. Omosigho
Publication year - 2020
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2020/v16i830209
Subject(s) - mathematics , distribution (mathematics) , generalization , moment (physics) , transformation (genetics) , noncentral chi squared distribution , statistics , ratio distribution , mathematical analysis , asymptotic distribution , physics , biochemistry , chemistry , classical mechanics , estimator , gene
This paper presents a new generalization of the extended Bur II distribution. We redefined the Bur II distribution using the Alpha Power Transformation (APT) to obtain a new distribution called the Alpha Power Transformed Extended Bur II distribution. We derived several mathematical properties for the new model which includes moments, moment generating function, order statistics, entropy etc. and used a maximum likelihood estimation method to obtain the parameters of the distribution. Two real-world data sets were used for applications in order to illustrate the usefulness of the new distribution.