A New Triangular Probability Model: A Combinatorial Modification of Probability Distributions.

Emwinloghosa Kenneth Guobadia; Jophet Ewere Okoh; Joel Isreal Eviano; Adebisi Ajibola Monsuru

doi:10.52589/AJMSS-GFXKGRVS

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A New Triangular Probability Model: A Combinatorial Modification of Probability Distributions.

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Publication Date: 2025-04-27

DOI: 10.52589/AJMSS-GFXKGRVS

Volume/Issue: Volume 8, Issue 2 (2025)

Page No: 40 - 47

Journal: African Journal of Mathematics and Statistics Studies

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Abstract:

The paper projects innovating means to probability modeling using integration method and the concept of normalization. It brings to light a probability distribution obtained by combining a probability density function of a distribution and a cumulative distribution function of another continuous probability model, to produce a triangular trend and a half bell-curve trend. Gumbel and exponential distributions are the root-distributions used for this development. The properties of the distribution include moments and related measures, and estimation, studied alongside simulation.

Keywords:Gumbel distributionExponential distributionProduct arrangementTriangular trend.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.