Alpha Power Transformed Extended Bur II Distribution: Properties and Applications
A. A. Ogunde *
Department of Statistics, University of Ibadan, Ibadan, Nigeria.
B. Ajayi
Department of Mathematics and Statistics, The Federal Polytechnic, Ado-Ekiti, Ekiti, Nigeria.
D. O. Omosigho
Department of Mathematics and Statistics, The Federal Polytechnic, Ado-Ekiti, Ekiti, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Alpha power transformation, moments, order statistics, Bur II distribution, real data sets