Anil K. Bera, Antonio F. Galvao, Liang Wang, Zhijie Xiao, A NEW CHARACTERIZATION OF THE NORMAL DISTRIBUTION AND TEST FOR NORMALITY, Econometric Theory, Vol. 32, No. 5 (October 2016), pp. 1216-1252 ...

A test of the composite hypothesis of normality is introduced. The test is based on the property of the normal distribution that its entropy exceeds that of any other distribution with a density that ...

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