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
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.
*Author to whom correspondence should be addressed.
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.
Keywords: Moments, uniform distribution, triangular distribution, transformed distribution, continuous random variable.