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Titlebook: Robust Bayesian Analysis; David Ríos Insua,Fabrizio Ruggeri Book 2000 Springer Science+Business Media New York 2000 Markov chain Monte Car

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发表于 2025-3-21 16:53:55 | 显示全部楼层 |阅读模式
书目名称Robust Bayesian Analysis
编辑David Ríos Insua,Fabrizio Ruggeri
视频video
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Robust Bayesian Analysis;  David Ríos Insua,Fabrizio Ruggeri Book 2000 Springer Science+Business Media New York 2000 Markov chain Monte Car
描述Robust Bayesian analysis aims at overcoming the traditional objection to Bayesian analysis of its dependence on subjective inputs, mainly the prior and the loss. Its purpose is the determination of the impact of the inputs to a Bayesian analysis (the prior, the loss and the model) on its output when the inputs range in certain classes. If the impact is considerable, there is sensitivity and we should attempt to further refine the information the incumbent classes available, perhaps through additional constraints on and/ or obtaining additional data; if the impact is not important, robustness holds and no further analysis and refinement would be required. Robust Bayesian analysis has been widely accepted by Bayesian statisticians; for a while it was even a main research topic in the field. However, to a great extent, their impact is yet to be seen in applied settings. This volume, therefore, presents an overview of the current state of robust Bayesian methods and their applications and identifies topics of further in­ terest in the area. The papers in the volume are divided into nine parts covering the main aspects of the field. The first one provides an overview of Bayesian robustn
出版日期Book 2000
关键词Markov chain Monte Carlo; Scheme; Volume; computation; decision problem; likelihood; maintenance; metrics; m
版次1
doihttps://doi.org/10.1007/978-1-4612-1306-2
isbn_softcover978-0-387-98866-5
isbn_ebook978-1-4612-1306-2Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer Science+Business Media New York 2000
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https://doi.org/10.1007/978-1-4612-1306-2Markov chain Monte Carlo; Scheme; Volume; computation; decision problem; likelihood; maintenance; metrics; m
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On the Use of the Concentration Function in Bayesian RobustnessWe present applications of the concentration function in both global and local sensitivity analyses, along with its connection with Choquet capacities.
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Bayesian Robustnesse need for a robust approach. Common types of robustness analyses are illustrated, including global and local sensitivity analysis and loss and likelihood robustness. Relationships with other approaches are also discussed. Finally, possible directions for future research are outlined.
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Topics on the Foundations of Robust Bayesian Analysisich underpins Bayesian inference and decision analysis. This chapter surveys whether a similar situation holds for robust Bayesian analysis, overviewing foundational results leading to standard computations in robust Bayesian analysis.
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Stability of Bayes Decisions and Applications Chuang, who gave the initial formulation of the problem, the article focuses on a major contribution due to Salinetti and the subsequent developments. The discussion also includes applications of stability to the local and global robustness issues relating to the prior distribution and the loss function of a Bayes decision problem.
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Local Robustness in Bayesian Analysisries of local sensitivity often have nonsensical asymptotic behaviour, raising thorny questions about their calibration. In this article the local approach is broadly defined, ranging from differentiation of functions (e.g., assessing sensitivity to hyperparameters) to differentiation of functionals
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