Cubic Transmuted Gompertz Distribution: As a Life Time Distribution
A. A. Ogunde *
Department of Statistics, University of Ibadan, Nigeria.
Fatoki Olayode
Department of Statistics, Ogun State Institute of Technology, Igbesa, Ogun State, Nigeria.
Audu Adejumoke
Federal School of Statistics, Ibadan, Oyo State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this work, we proposed and studied the Cubic Transmuted Gompertz (CTG) distribution using the Cubic Transmuted family of distributions which was introduced by Rahman et al. [8] and based on cubic transmutation map. We studied the statistical properties of the new distribution which includes: rth moment, moment generating function order statistics, mean, variance, Renyl entropy. The CTG distribution was fitted to a real data set to demonstrate its flexibility and tractability in modelling real life data.
Keywords: Renyl entropy, order statistics, cubic transmutation map, rth moment