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IMA Journal of Mathematical Control and Information 1986 3(1):1-7; doi:10.1093/imamci/3.1.1
© 1986 by Institute of Mathematics and its Applications
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Characterization of Distributions through Maximization of {alpha}-Entropies

ADNAN M. AWAD {dagger} and MAHER M. MARZUQ

Department of Mathematics, Kuwait University Kuwait

This paper provides characterizations of the Pareto distribution of the second kind, the Pearson type-VII distribution and the t-distribution. These characterizations have been obtained through maximization of {alpha}-entropies. As {alpha}{uparrow}1, characterizations of the exponential, the Laplace, and the normal distributions are obtained.

{dagger}On sabbatical leave from the Department of Statistics, Yarmouk University, Irbid, Jordan.


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