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What is Learnable in Valiant's Theory of the Learnable? 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New Entropy Estimator with an Application to Test of Normality
Salim Bouzebda, Issam Elhattab, Amor Keziou, Tewfik Lounis · 2011-10-16 · via math.ST updates on arXiv.org

In the present paper we propose a new estimator of entropy based on smooth estimators of quantile density. The consistency and asymptotic distribution of the proposed estimates are obtained. As a consequence, a new test of normality is proposed. A small power comparison is provided. A simulation study for the comparison, in terms of mean squared error, of all estimators under study is performed.

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