Analysis of two-component Gibbs samplers using the theory of two projections

Cites Work

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A gentle guide to the basics of two projections theory
On the Markov chain central limit theorem
Harris recurrence of Metropolis-within-Gibbs and trans-dimensional Markov chains
The structure of a real linear combination of two projections
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Concentration inequalities for dependent random variables via the martingale method
The rate of convergence in the method of alternating projections
Spectral Theory of Operators on Hilbert Spaces
Geometric L² and ^{L¹ convergence are equivalent for reversible Markov chains}
Sampling-Based Approaches to Calculating Marginal Densities
The Calculation of Posterior Distributions by Data Augmentation
Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes
Multivariate output analysis for Markov chain Monte Carlo
Bayesian Analysis of Binary and Polychotomous Response Data
On random- and systematic-scan samplers
Bayesian Inference for Logistic Models Using Pólya–Gamma Latent Variables
Two Subspaces

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