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On the Application of Nadarajah Haghighi Gompertz Distribution as a Life Time Distribution
Department of Statistics, University of Ibadan, Ibadan, Oyo State, Nigeria
Department of Mathematics and Statistics, Federal Polytechnic Ado-Ekiti, Ekiti State, Nigeria
Department of Statistics, Federal Polytechnic Ede, Osun State, Nigeria
- 1 Department of Statistics, University of Ibadan, Ibadan, Oyo State, Nigeria
- 2 Department of Mathematics and Statistics, Federal Polytechnic Ado-Ekiti, Ekiti State, Nigeria
- 3 Department of Statistics, Federal Polytechnic Ede, Osun State, Nigeria
Open Journal of Statistics·Volume 10 (2020)·Pages 850–862·Published 26 October 2020·DOI10.4236/ojs.2020.105049
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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.
KeywordsMoment Generating FunctionNadarajah-Haghighi GeneratorGompertz DistributionSurvival Rate FunctionMoment
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