On the Distribution of Quantile-Zone Test Statistic

Authors: Atif S. Avdovic

Keywords: quantile-zone test, quantile-zone function, normality testing, 3-sigma rule, parameters.

DOI:https://doi.org/10.46793/SPSUNP2502.099A

Abstract:

Present paper offers more precise specific theoretical description of the distri- bution of the quantile-zone test statistic. It is manifested by redefining some of its aspects, elaborating on some of its propositions concerning the distribution of underlying quantile- zone function, calculating its numerical characteristics and proving the independence on parameters of testing sample variable. Empirical descriptions by distribution tables and graphical ilustrations are also given. The paper gives an important connection on idea and application development, as well as the applicability verification and new comparative analyses in normality testing.