TITLE:
On the Application of Nadarajah Haghighi Gompertz Distribution as a Life Time Distribution
AUTHORS:
Adebisi Ade Ogunde, Isaac Oluwaseyi Ajao, Gbenga Adelekan Olalude
KEYWORDS:
Moment Generating Function, Nadarajah-Haghighi Generator, Gompertz Distribution, Survival Rate Function, Moment
JOURNAL NAME:
Open Journal of Statistics,
Vol.10 No.5,
October
27,
2020
ABSTRACT: The convolution of
Nadarajah-Haghighi-G family of distributions will result into a more flexible distribution
(Nadarajah-Haghighi Gompertz distribution) than each of them
individually in terms of the estimate of the characteristics in there
parameters. The combination was done using Nadarajah-Haghighi (NH) generator. We investigated in the newly
developed distribution some basic properties including moment, moment
generating function, survival rate function, hazard rate function asymptotic
behaviour and estimation of parameters. The proposed model is much more
flexible and has a better representation of data than Gompertz distribution and
some other model considered. A real data set was used to illustrate the
applicability of the new model.