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A Test for Normality Based on Kullback-Leibler Information

Ikuo Arizono and Hiroshi Ohta
The American Statistician
Vol. 43, No. 1 (Feb., 1989), pp. 20-22
DOI: 10.2307/2685161
Stable URL: http://www.jstor.org/stable/2685161
Page Count: 3
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A Test for Normality Based on Kullback-Leibler Information
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Abstract

A goodness-of-fit test (based on sample entropy) for normality was given by Vasicek. The test, however, can be applied only to the composite hypotheses. In this article an extended test of fit for normality is introduced based on Kullback-Leibler information. The Kullback-Leibler information is an extended concept of entropy, so the test can be applied not only to the composite hypotheses, but also to the simple hypotheses. The power comparisons of the proposed test with some other tests are illustrated and discussed.

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