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Testing normality based on sample information content

M. Mahdizadeh

Abstract



Many statistical methods hinges on the assumption that the data are a random sample from a normal distribution. As a result, there is a growing body of research on normality tests. This article deals with the aforesaid testing problem from an information-theoretic viewpoint. Some new tests are developed and their behaviors are studied by means of simulation. It turns out that our tests are generally more powerful than their competitors.

Keywords


Empirical distribution function, Information theory, Test of fit.

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