A Study on Properties and Applications of a Lomax Gompertz-Makeham Distribution
Innocent Boyle Eraikhuemen
Department of Mathematics and Computer Science, Benson Idahosa University, Benin-City, Nigeria.
Terna Godfrey Ieren *
Department of Statistics and Operations Research, MAUTech, P.M.B. 2076, Yola, Nigeria.
Tajan Mashingil Mabur
Department of Statistics and Operations Research, MAUTech, P.M.B. 2076, Yola, Nigeria.
Mohammed Sa’ad
Department of Mathematics and Statistics, Federal Polytechnic, Bauchi, Bauchi State, Nigeria.
Samson Kuje
Department of Mathematical Science, Abubakar Tafawa Balewa University, Bauchi, Nigeria.
Adana’a Felix Chama
Department of Mathematical Sciences, Taraba State University, Jalingo, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The article presents an extension of the Gompertz-Makeham distribution using the Lomax generator of probability distributions. This generalization of the Gompertz-Makeham distribution provides a more skewed and flexible compound model called Lomax Gompertz-Makeham distribution. The paper derives and discusses some Mathematical and Statistical properties of the new distribution. The unknown parameters of the new model are estimated via the method of maximum likelihood estimation. In conclusion, the new distribution is applied to two real life datasets together with two other related models to check its flexibility or performance and the results indicate that the proposed extension is more flexible compared to the other two distributions considered in the paper based on the two datasets used.
Keywords: Gompertz-Makeham distribution, Lomax Gompertz-Makeham distribution, mathematical & statistical properties, order statistics, parameter estimation, applications.