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Univariate Bayesian nonparametric binary regression with application in environmental management
Authors:Song S. Qian  Michael Lavine  Craig A. Stow
Affiliation:(1) Environmental Sciences and Resources, Portland State University, Portland, OR 97207, USA;(2) Institute of Statistics and Decision Sciences, Duke University, Durham, NC 27708, USA;(3) Nicholas School of the Environment, Duke University, Durham, NC 27708, USA
Abstract:In environmental management, we often have to deal with binary response variables whose outcome dictates the course of action. This paper introduces a nonparametric Bayesian binary regression model with a single predictor variable that is more flexible than the commonly used logistic or probit models. Due to the Bayesian feature, the model can be easily used to combine observed data with our knowledge of the subject to produce site-specific results. By using three examples, this paper shows the potential application of the model in the environmental management, and its advantages in terms of flexibility in model specification, robustness to outliers, and realistic interpretation of data.
Keywords:acid deposition  Bayesian inference  Dirichlet distribution  fish response  Gibbs sampler  lake eutrophication  PCB  risk assessment  salmonid
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