Moment conditions and Bayesian non‐parametrics

Luke Bornn, Neil Shephard () and Reza Solgi

Journal of the Royal Statistical Society Series B, 2019, vol. 81, issue 1, 5-43

Abstract: Models phrased through moment conditions are central to much of modern inference. Here these moment conditions are embedded within a non‐parametric Bayesian set‐up. Handling such a model is not probabilistically straightforward as the posterior has support on a manifold. We solve the relevant issues, building new probability and computational tools by using Hausdorff measures to analyse them on real and simulated data. These new methods, which involve simulating on a manifold, can be applied widely, including providing Bayesian analysis of quasi‐likelihoods, linear and non‐linear regression, missing data and hierarchical models.

Date: 2019
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Citations: View citations in EconPapers (8)

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https://doi.org/10.1111/rssb.12294

Related works:
Working Paper: Moment conditions and Bayesian nonparametrics (2016)
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