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Author(s): Emwinloghosa Kenneth Guobadia, Jophet Ewere Okoh, Joel Isreal Eviano, Adebisi Ajibola Monsuru.

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

Page No: 40-47

Journal: African Journal of Mathematics and Statistics Studies (AJMSS)

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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 distribution, Exponential distribution, Product arrangement, Triangular trend.

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