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Statistical Decision Theory and Bayesian Analysis

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TLDR
An overview of statistical decision theory, which emphasizes the use and application of the philosophical ideas and mathematical structure of decision theory.
Abstract
1. Basic concepts 2. Utility and loss 3. Prior information and subjective probability 4. Bayesian analysis 5. Minimax analysis 6. Invariance 7. Preposterior and sequential analysis 8. Complete and essentially complete classes Appendices.

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Journal ArticleDOI

Optimal selection of ensemble classifiers using measures of competence and diversity of base classifiers

TL;DR: A new probabilistic model using measures of classifier competence and diversity based on the dynamic ensemble selection scheme was constructed and it is shown that the use of diversity positively affects the quality of classification.
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Bayesian Methods for Analyzing Structural Equation Models With Covariates, Interaction, and Quadratic Latent Variables

TL;DR: A Bayesian approach to analyze a general structural equation model that accommodates the general nonlinear terms of latent variables and covariates is introduced and produces a Bayesian estimate that has the same statistical optimal properties as a maximum likelihood estimate.
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Power prior distributions for generalized linear models

TL;DR: The power priors as mentioned in this paper are based on the notion of the availability of historical data and are of great potential use in this context, and demonstrate how to construct these priors and elicit their hyperparameters.
Journal ArticleDOI

Processing Information in Quantum Decision Theory

Vyacheslav I. Yukalov, +1 more
- 14 Dec 2009 - 
TL;DR: A survey of quantum decision theory can be found in this article, where the authors present a self-consistent procedure of decision making, in the frame of the Quantum Decision Theory, taking into account both the available objective information as well as subjective contextual effects.
Journal ArticleDOI

Approaches for Empirical Bayes Confidence Intervals

TL;DR: In this article, a conditional bias correction method is proposed to correct the shortness of the EM intervals, since they do not attain the desired coverage probability in the EB sense defined by Morris (1983a, b).