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The application of the principle of minimum cross-entropy to the characterization of the exponential-type probability distributions

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Summary

Systematic and simple characterizations are presented for several familiar distributions in exponential family by means of the principle of minimum cross-entropy (minimum discrimination information). The suitable prior distributions and the appropriate constraints on expected values are given for the underlying distributions.

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Bad Dumitrescu, M.E. The application of the principle of minimum cross-entropy to the characterization of the exponential-type probability distributions. Ann Inst Stat Math 38, 451–457 (1986). https://doi.org/10.1007/BF02482532

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  • DOI: https://doi.org/10.1007/BF02482532

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