On minimax estimation in the presence of side information about remote data (Q749081)

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scientific article; zbMATH DE number 4172149
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On minimax estimation in the presence of side information about remote data
scientific article; zbMATH DE number 4172149

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    On minimax estimation in the presence of side information about remote data (English)
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    1990
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    The authors investigate the effect of partial side information on remote data in estimation of the distribution for a parametric family. The J function with a similar role for the Fisher information is introduced, and the information inequality like the Cramér-Rao inequality for minimax square errors is obtained. The regularity conditions for asymptotic efficiency, that is, the asymptotic achievement of the informational bound are discussed.
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    minimax estimation
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    multi-user source coding
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    information measures
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    partial side information
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    remote data
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    Fisher information
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    information inequality
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    Cramér-Rao inequality
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    minimax square errors
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    asymptotic efficiency
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