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Using the Average of the Extreme Values of a Triangular Distribution for a Transformation, and Its Approximant via the Continuous Uniform Distribution

Okagbue, H. I. and Edeki, S.O. and Opanuga, A. A. and Oguntunde, P.E. and Adeosun, M. E. (2014) Using the Average of the Extreme Values of a Triangular Distribution for a Transformation, and Its Approximant via the Continuous Uniform Distribution. British Journal of Mathematics & Computer Science, 4 (24). pp. 3497-3507. ISSN 2231-0851

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Abstract

This paper introduces a new probability distribution referred to as a transformed triangular distribution (TTD) by using the average of the extreme values (minimum and maximum) of the triangular distribution. The TTD is being approximated by the continuous uniform distribution. The basic moments of the TTD and those of the continuous uniform distribution are compared respectively, and a relationship established. This can be used in modeling and simulation.

Item Type: Article
Uncontrolled Keywords: Moments, uniform distribution, triangular distribution, transformed distribution, continuous random variable.
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: 01 Mar 2016 11:05
Last Modified: 01 Mar 2016 11:05
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/6285

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