Okagbue, H. I. and Bishop, S.A. and Opanuga, A. A. and Adamu, M. O.
(2017)
*Classes of Ordinary Differential Equations Obtained for the Probability Functions of Burr XII and Pareto Distributions.*
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 Burr XII and Pareto distributions. This was made easier since later distribution is a special case of the former. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distributions. Solutions of these ODEs by using numerous available methods are new ways of understanding the nature of the probability functions that characterize the distributions.

Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | Burr XII distribution, differential calculus, probability density function, survival function, quantile function, Pareto distribution |

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 07:09 |

Last Modified: | 16 Nov 2017 07:09 |

URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/9666 |

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