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On tests for normality

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2 Author(s)
Y. Steinberg ; Dept. of Electr. Eng., Princeton Univ., NJ, USA ; O. Zeitouni

The problem of deciding whether a sample of a random field was generated by a Gaussian distribution is considered. Based on extensions of large deviation estimates due to M.D. Donsker and S.R.S. Varadhan (1985), a test that is optimal in a generalized Neyman-Pearson sense is proposed. This test turns out to depend on properties of the entropy of Gaussian processes and does not depend on cumulant computations

Published in:

IEEE Transactions on Information Theory  (Volume:38 ,  Issue: 6 )