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Author(s): Mark Nwachukwu Ugo, John Paul Kenechukwu Iwuchukwu, Emwinloghosa Kenneth Guobadia.

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

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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