Mikailalsys Journal of Mathematics and Statistics
Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics

The Binosson Distribution: A Unified Probabilistic Framework Bridging the Binomial and Poisson Models

Ayo, Ayenigba Alfred (Unknown)
Emmanuel, Amoyedo Femi (Unknown)
Adebisi, Afariogun David (Unknown)



Article Info

Publish Date
07 Apr 2025

Abstract

Classical Binomial and Poisson distributions, constrained by fixed trials and static event rates, falter in modeling modern datasets with dynamic parameters or contextual dependencies (e.g., variable infection rates, covariate-influenced risks). This paper introduces the Binosson Distribution, a hybrid framework unifying Binomial trials and Poisson processes through dynamic parameterization of trial counts (n) and designed to address event rates (λ). The distribution has been proposed to bridge the gap between these two distributions, incorporating aspects of both. Binomial-cum-Poisson distributions are modified to obtain a distribution that will be able to solve the probability problems that lies between the two distributions. Binosson is the result from the product of Binomial and Poisson distributions. Statistical properties such as mean, variance, standard deviation, skewedness and kurtosis were also derived.

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Journal Info

Abbrev

MJMS

Publisher

Subject

Engineering Mathematics Mechanical Engineering

Description

The journal contains scientific articles covering topics such as mathematical theory, statistical methods, the application of mathematics in various disciplines, and statistical data analysis. The primary objective of this journal is to promote a better understanding of mathematical and statistical ...