Stephen Berg
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View article: Weighted shape-constrained estimation for the autocovariance sequence from a reversible Markov chain
Weighted shape-constrained estimation for the autocovariance sequence from a reversible Markov chain Open
We present a novel weighted $\ell_2$ projection method for estimating autocovariance sequences and spectral density functions from reversible Markov chains. Berg and Song (2023) introduced a least-squares shape-constrained estimation appro…
View article: Introducing the Condor array telescope II – deep imaging observations of the edge-on spiral galaxy NGC 5907 and the NGC 5866 Group: yet another view of the iconic stellar stream
Introducing the Condor array telescope II – deep imaging observations of the edge-on spiral galaxy NGC 5907 and the NGC 5866 Group: yet another view of the iconic stellar stream Open
We used the Condor array telescope to obtain deep imaging observations through the luminance filter of the entirety of the NGC 5866 Group, including a very extended region surrounding the galaxy NGC 5907 and its stellar stream. We find tha…
View article: Multivariate moment least-squares estimators for reversible Markov chains
Multivariate moment least-squares estimators for reversible Markov chains Open
Markov chain Monte Carlo (MCMC) is a commonly used method for approximating expectations with respect to probability distributions. Uncertainty assessment for MCMC estimators is essential in practical applications. Moreover, for multivaria…
View article: Introducing the Condor Array Telescope. II. Deep imaging observations of the edge-on spiral galaxy NGC 5907 and the NGC 5866 Group: yet another view of the iconic stellar stream
Introducing the Condor Array Telescope. II. Deep imaging observations of the edge-on spiral galaxy NGC 5907 and the NGC 5866 Group: yet another view of the iconic stellar stream Open
We used the Condor Array Telescope to obtain deep imaging observations through the luminance filter of the entirety of the NGC 5866 Group, including a very extended region surrounding the galaxy NGC 5907 and its stellar stream. We find tha…
View article: Introducing the Condor Array Telescope. 1. Motivation, Configuration, and Performance
Introducing the Condor Array Telescope. 1. Motivation, Configuration, and Performance Open
The "Condor Array Telescope" or "Condor" is a high-performance "array telescope" comprised of six apochromatic refracting telescopes of objective diameter 180 mm, each equipped with a large-format, very low-read-noise ($\approx 1.2$ e$^-$)…
View article: Efficient shape-constrained inference for the autocovariance sequence from a reversible Markov chain
Efficient shape-constrained inference for the autocovariance sequence from a reversible Markov chain Open
In this paper, we study the problem of estimating the autocovariance sequence resulting from a reversible Markov chain. A motivating application for studying this problem is the estimation of the asymptotic variance in central limit theore…
View article: Control variates and Rao-Blackwellization for deterministic sweep Markov chains
Control variates and Rao-Blackwellization for deterministic sweep Markov chains Open
We study control variate methods for Markov chain Monte Carlo (MCMC) in the setting of deterministic sweep sampling using $K\geq 2$ transition kernels. New variance reduction results are provided for MCMC averages based on sweeps over gene…
View article: A latent discrete Markov random field approach to identifying and classifying historical forest communities based on spatial multivariate tree species counts
A latent discrete Markov random field approach to identifying and classifying historical forest communities based on spatial multivariate tree species counts Open
The Wisconsin Public Land Survey database describes historical forest composition at high spatial resolution and is of interest in ecological studies of forest composition in Wisconsin just prior to significant Euro-American settlement. Fo…