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Maximum Entropy and Maximum Likelihood Estimation for the Three-Parameter Kappa Distribution

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Author(s): Bungon Kumphon

Journal: Open Journal of Statistics
ISSN 2161-718X

Volume: 02;
Issue: 04;
Start page: 415;
Date: 2012;
Original page

Keywords: Maximum Entropy | Maximum Likelihood | Kappa Distribution | Lagrange Multiplier

ABSTRACT
The two statistical principles of maximum entropy and maximum likelihood are investigated for the three-parameter kappa distribution. These two methods become equivalent in the discrete case with x, β>0 where 0<α=1/(2k+1)≤1, k=0,1,2…or the maximum entropy method.
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