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• W3016917077 abstract "Exponential families comprise a broad class of statistical models and parametric families like normal distributions, binomial distributions, gamma distributions or exponential distributions. Thereby the formal representation of its probability distributions induces a confined intrinsic structure, which appears to be that of a dually flat statistical manifold. Conversely it can be shown, that any dually flat statistical manifold, which is given by a regular Bregman divergence uniquely induced a regular exponential family, such that exponential families may - with some restrictions - be regarded as a universal representation of dually flat statistical manifolds. This article reviews the pioneering work of Shun'ichi Amari about the intrinsic structure of exponential families in terms of structural stratistics." @default.
• W3016917077 created "2020-04-24" @default.
• W3016917077 creator A5027784562 @default.
• W3016917077 date "2020-04-19" @default.
• W3016917077 modified "2023-09-27" @default.
• W3016917077 title "Applications of Structural Statistics: Geometrical Inference in Exponential Families" @default.
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• W3016917077 hasPublicationYear "2020" @default.
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