Derives closed-form m* threshold below which spatial random effects materially affect regression inference in multilevel areal data and above which nonspatial models suffice, with O(m^{-1}) convergence in posterior variance differences.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Theoretical analysis of multiproposal MCMC in the infinite proposal limit using involutive theory yields new methods and inter-method relationships.
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On the Need for Spatial Random Effects in Bayesian Regression Models for Multilevel Areal Data
Derives closed-form m* threshold below which spatial random effects materially affect regression inference in multilevel areal data and above which nonspatial models suffice, with O(m^{-1}) convergence in posterior variance differences.
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Mad Props: Parallelism in Markov Chain Monte Carlo Through the Lens of the Infinite Proposal Limit
Theoretical analysis of multiproposal MCMC in the infinite proposal limit using involutive theory yields new methods and inter-method relationships.