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Standardization of the Logistic Distribution based on Entropy

Volume 9, Number 3, May 2013 - SC 40 - pp. 352-354

LAMBERT PIERRAT1  and SAMUEL KOTZ2

1 LJ - Consulting &  LJK-LAB, UMR CNRS 5224,21 Allée Jean Wiener, 38040 Saint Martin d’Hères Cedex, FRANCE    
2 George Washington University, Washington DC, U.S.A. (Deceased)

(Received on January 4, 2013, revised on February 10, 2013)

Abstract:

In order to define an acceptable equivalence between a normal and a logistic distribution, a common standardized way is by the identification of their two first statistical moments. We propose an alternative method based on equality of their differential entropies, which demonstrates the validity of the usual standardization method.

 

References: 4

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