University Links: Home Page | Site Map
Covenant University Repository

Quantile mechanics: Issues arising from critical review

Okagbue, H. I. and Adamu, M. O. and Anake, T. A. (2019) Quantile mechanics: Issues arising from critical review. International Journal of Advanced and Applied Sciences, 6 (1). pp. 9-23.

Full text not available from this repository.


Approximations are the alternative way of obtaining the Quantile function when the inversion method cannot be applied to distributions whose cumulative distribution functions do not have close form expressions. Approximations come in form of functional approximation, numerical algorithm, closed form expressed in terms of others and series expansions. Several quantile approximations are available which have been proven to be precise, but some issues like the presence of shape parameters, inapplicability of existing methods to complex distributions and low computational speed and accuracy place undue limitations to their effective use. Quantile mechanics (QM) is a series expansion method that addressed these issues as evidenced in the paper. Quantile mechanics is a generalization of the use of ordinary differential equations (ODE) in quantile approximation. The paper is a review that critically examined with evidences; the formulation, applications and advantages of QM over other surveyed methods. Some issues bothering on the use of QM were also discussed. The review concluded with areas of further studies which are open for scientific investigation and exploration.

Item Type: Article
Uncontrolled Keywords: Approximation Cumulative distribution function Probability density function Quantile function Quantile mechanics Series expansion
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 27 Aug 2019 10:45
Last Modified: 27 Aug 2019 10:45

Actions (login required)

View Item View Item