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The Bayesian Inference of Pareto Models Based on Information Geometry
by
Sun, Huafei
, Sun, Fupeng
, Zhang, Shiqiang
, Cao, Yueqi
in
Al-Bayyati’s loss function
/ Bayesian inference
/ Jeffreys prior
/ mean geodesic estimation
/ Pareto two-parameter model
2020
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The Bayesian Inference of Pareto Models Based on Information Geometry
by
Sun, Huafei
, Sun, Fupeng
, Zhang, Shiqiang
, Cao, Yueqi
in
Al-Bayyati’s loss function
/ Bayesian inference
/ Jeffreys prior
/ mean geodesic estimation
/ Pareto two-parameter model
2020
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The Bayesian Inference of Pareto Models Based on Information Geometry
Journal Article
The Bayesian Inference of Pareto Models Based on Information Geometry
2020
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Overview
Bayesian methods have been rapidly developed due to the important role of explicable causality in practical problems. We develope geometric approaches to Bayesian inference of Pareto models, and give an application to the analysis of sea clutter. For Pareto two-parameter model, we show the non-existence of α-parallel prior in general, hence we adopt Jeffreys prior to deal with the Bayesian inference. Considering geodesic distance as the loss function, an estimation in the sense of minimal mean geodesic distance is obtained. Meanwhile, by involving Al-Bayyati’s loss function we gain a new class of Bayesian estimations. In the simulation, for sea clutter, we adopt Pareto model to acquire various types of parameter estimations and the posterior prediction results. Simulation results show the advantages of the Bayesian estimations proposed and the posterior prediction.
Publisher
MDPI,MDPI AG
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