Differential geometry of curved exponential families. Curvatures and information loss (Q1837486)

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scientific article; zbMATH DE number 3800777
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Differential geometry of curved exponential families. Curvatures and information loss
scientific article; zbMATH DE number 3800777

    Statements

    Differential geometry of curved exponential families. Curvatures and information loss (English)
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    1982
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    curved exponential families
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    multi-parameter families of distributions
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    Legendre transformation
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    second-order information loss
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    Fisher-efficient estimators
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    maximum-likelihood estimator
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    statistical curvatures
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    statistical affine connections
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    recovery of information
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    duality
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    second- order efficiency
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    Kullback-Leibler distance
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