Properties and Applications of a Transmuted Power Gompertz Distribution
Innocent Boyle Eraikhuemen *
Department of Physical Sciences, Benson Idahosa University, Benin City, Nigeria.
Adana’a Felix Chama
Department of Mathematical Sciences, Taraba State University, Jalingo, Nigeria.
Abraham Iorkaa Asongo
Department of Statistics and Operations Research, Modibbo Adama University of Technology (MAUTech), P.M.B. 2076, Yola, Nigeria.
Bassa Shiwaye Yakura
Department of General Studies Education, School of General Education, Federal College of Education, Yola, Adamawa State, Nigeria.
Abdul Haruna Bala
Department of General Studies Education, School of General Education, Federal College of Education, Yola, Adamawa State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This article introduces and studies a new probability distribution called “Transmuted Power Gompertz distribution”. It looks at the properties of the transmuted power Gompertz distribution. The article also estimates the four parameters of the new model using the method of maximum likelihood estimation. The article further evaluates the goodness-of-fit of the proposed distribution compared to other distributions by means of applications of the model to two real life datasets and the result show that the proposed distribution is more flexible than the fitted existing distributions.
Keywords: Transmuted power Gompertz distribution, statistical properties, estimation of parameters, application and performance