Okagbue, H. I. and Opanuga, A. A. and Owoloko, E. A. and Adamu, M. O. (2017) Classes of Ordinary Differential Equations Obtained for the Probability Functions of Exponentiated Frĕchet Distribution. In: World Congress on Engineering and Computer Science, October 25-27, 2017, San Francisco, USA.
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Abstract
In this work, the differential calculus was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function, inverse survival function, hazard function and reversed hazard function of the exponentiated Frĕchet distribution. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distribution. Solutions of these ODEs by using numerous available methods are a new ways of understanding the nature of the probability functions that characterize the distribution. The method can be extended to other probability distributions and can serve an alternative to approximation.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Exponentiated, Fréchet distribution, hazardfunction, calculus, differentiation |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Hannah Akinwumi |
| Date Deposited: | 16 Nov 2017 13:06 |
| Last Modified: | 16 Nov 2017 13:06 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/9678 |
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