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

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

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

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African Journal of Mathematics and Statistics Studies

Vol. 7Issue 42024pp. 153–161Published 11 November 2024

DOI 10.52589/AJMSS-K6FRZIGC

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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 distribution Arcsine distribution Division arrangement Hemisphere trend.

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