Title

A Test of Normality From Allegorizing the Bell Curve or the Gaussian Probability Distribution As Memoryless and Depthless Like a Black Hole

Document Type

Article

Publication Date

5-8-2020

School

Speech and Hearing Sciences

Abstract

Anon-traditional formulationof the Gaussian probability distributionin two dimensionsdid not require the constant pi and mathematically resembledthe exponential formula of radioactive decay. Shifting the position of reference didnot affect the effective span of its remaining existence on the farther side of that reference position.Isolationprevailed likea black hole behind acircular boundary when observing outward from there. Consequently, any observerat any possible location,couldas well viewitself to be just in the center of that distribution, if the distribution was perfectly Gaussian. Utility of this viewpointcould include development of alternative tests of normality. Such tests mightbe useful for exploringrandom distribution of errors inunknown data sets in many areas of sciencefrom cosmology to virology.

Publication Title

Applied Mathematical Sciences

Volume

14

Issue

8

First Page

349

Last Page

359

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