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Classes of Ordinary Differential Equations Obtained for the Probability Functions of Frĕchet Distribution

Okagbue, H. I. and Oguntunde, P.E. and Opanuga, A. A. and Owoloko, E. A. (2017) Classes of Ordinary Differential Equations Obtained for the Probability Functions of Frĕchet Distribution. In: World Congress on Engineering and Computer Science, October 25-27, 2017, San Francisco, USA.

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Abstract

In this paper, 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 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: Quantile function, Frĕchet distribution, reversed hazard function, calculus, differentiation, probability density function.
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 29 Jun 2018 10:29
Last Modified: 29 Jun 2018 10:29
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/11087

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