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

H. I. Okagbue; S. O. Edeki; A. A. Opanuga; P. E. Oguntunde; M. E. Adeosun

doi:10.9734/BJMCS/2014/12299

Research Article Open access CC BY 3.0

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

H. I. Okagbue, S. O. Edeki, A. A. Opanuga, P. E. Oguntunde, M. E. Adeosun

Journal of Advances in Mathematics and Computer Science · pp. 3497–3507 · Published 9 Oct 2014

10.9734/BJMCS/2014/12299

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.

Moments uniform distribution triangular distribution transformed distribution continuous random variable.

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H. I. Okagbue, S. O. Edeki, A. A. Opanuga, P. E. Oguntunde, M. E. Adeosun (2014). Using the Average of the Extreme Values of a Triangular Distribution for a Transformation, and Its Approximant via the Continuous Uniform Distribution. Journal of Advances in Mathematics and Computer Science , 3497–3507. https://doi.org/10.9734/BJMCS/2014/12299

Affiliations

H. I. Okagbue — Department of Mathematics, College of Science & Technology, Covenant University, Otta, Nigeria.
S. O. Edeki — Department of Mathematics, College of Science & Technology, Covenant University, Otta, Nigeria.
A. A. Opanuga — Department of Mathematics, College of Science & Technology, Covenant University, Otta, Nigeria.
P. E. Oguntunde — Department of Mathematics, College of Science & Technology, Covenant University, Otta, Nigeria.
M. E. Adeosun — Department of Mathematics and Statistics, Osun State College of Technology, Esa-Oke, Nigeria.

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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

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