Perfect Hemisphere Trend Realization: A Combinatorial Modification of  Probability Distributions.

Mark Nwachukwu Ugo; John Paul Kenechukwu Iwuchukwu; Emwinloghosa Kenneth Guobadia

doi:10.52589/AJMSS-K6FRZIGC

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Perfect Hemisphere Trend Realization: A Combinatorial Modification of Probability Distributions.

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Publication Date: 2024-11-11

DOI: 10.52589/AJMSS-K6FRZIGC

Volume/Issue: Volume 7, Issue 4 (2024)

Page No: 153 - 161

Journal: African Journal of Mathematics and Statistics Studies

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Abstract:

The paper reviews creative ways to developing continuous probability models playing around integration method and the concept of normalization. It further projects a probability distribution realized by combining two symmetric probability models that differ in shape, to produce a perfect hemisphere or half-sun trend. Normal and arcsine distributions are the root distributions used for this development. At some values of the parameter, the distribution can be right skewed; where other moments and related measures, and estimation are studied as its properties, alongside simulation.

Keywords:Normal distributionArcsine distributionDivision arrangementHemisphere 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.