---

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

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

Page No: 153-161

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

---

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.

No. of Downloads: 0