Bayesian Inference: Observations and Applications

Rosario O. Cardenas (Editor)

Series: Mathematics Research Developments
BISAC: MAT027000

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Volume 10

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Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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Bayesian Inference: Observations and Applications discusses standard Bayesian inference, in which a-priori distributions are standard probability distributions. In some cases, however, a more general form of a-priori distributions (fuzzy a-priori densities) is suitable to model a-priori information. The combination of fuzziness and stochastic uncertainty calls for a generalization of Bayesian inference, i.e. fuzzy Bayesian inference. The authors explain how Bayes’ theorem may be generalized to handle this situation. Next, they present a decision analytic framework for completing selection of optimal parameters for machining process definition. In addition, a discussion section on the subjects of inference, experimental design, and risk aversion is included. The concluding review focuses on the sparse Bayesian methods from their model specifications, interference algorithms, and applications in sensor array signal processing. Sparse and structured sparse Bayesian methods formulate problems in a probabilistic manner by constructing a hierarchical model, allowing for the obtainment of flexible modeling capability and statistical information.

Preface

Chapter 1. Bayesian Inference and Fuzzy Information
(Owat Sunanta and Reinhard Viertl, Institute of Statistics and Mathematical Methods in Economics, Technische Universität Wien, Vienna, Austria)

Chapter 2. An Analytic Framework for Optimal Milling Parameter Selection
(Jaydeep Karandikar, PhD, Christopher Tyler, PhD, Ali Abbas, PhD, and Tony Schmitz, PhD, GE Global Research Niskayuna, NY, USA, and others)

Chapter 3. Sparse Bayesian Methods and Applications: A Comprehensive Overview
(Lu Wang, Lifan Zhao, and Guoan Bi, School of Marine Science and Technology, Northwestern Polytechnical University, Shaanxi, China, and others)

Chapter 4. Bibliography

Chapter 5. Related Nova Publications

Index

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