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Ordinary Differential Equations of the Probability Functions of the Weibull Distribution and their Application in Ecology

Okagbue, H. I. and Adamu, M. O. and Anake, T. A. (2017) Ordinary Differential Equations of the Probability Functions of the Weibull Distribution and their Application in Ecology. Journal of Economic Literature (JEL).

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Abstract

Weibull distribution has been applied to many areas in ecological studies and engineering. Application of the Weibull and other probability distributions in ecology are mainly in fitting ecological data which is very vital in revealing latent characteristics of the object of study. The use of the ordinary differential equations (ODE) in fitting has not been studied in ecological studies. Ordinary differential calculus was used to obtain the homogenous ODE of the probability density function (PDF), quantile function (QF), survival function (SF), inverse survival function (ISF), hazard function (HF) and reversed hazard function (RHF) whose solutions are their respective functions of the Weibull distribution. Different classes of ODEs were obtained. The novelty of this proposed method is applied to radiation data.

Item Type: Article
Uncontrolled Keywords: Weibull distribution, Ordinary differential equations, probability function, data fit, parameters.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 12 Jan 2018 11:26
Last Modified: 12 Jan 2018 11:26
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/9986

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