50 citations · 121 across the 19 of their papers we have counts for
20 papers
Cluster size distributions of discrete random fields
Dan Cheng, John Ginos
We study size distributions of finite excursion clusters of discrete random fields on the integer lattice . For stationary fields, we assign a unique root to each fini…
The expected Euler characteristic approximation to excursion probabilities of smooth Gaussian random fields with general variance functions
Dan Cheng
Consider a centered smooth Gaussian random field with a general (nonconstant) variance function. In this work, we demonstrate that as , the excurs…
Network Inference Using the Hub Model and Variants
Zhibing He, Yunpeng Zhao, Peter Bickel +3
Statistical network analysis primarily focuses on inferring the parameters of an observed network. In many applications, especially in the social sciences, the observed data is the…
Multiple Testing of Local Extrema for Detection of Structural Breaks in Piecewise Linear Models
Zhibing He, Dan Cheng, Yunpeng Zhao
In this paper, we propose a new generic method for detecting the number and locations of structural breaks or change points in piecewise linear models under stationary Gaussian noi…
Smooth Matérn Gaussian Random Fields: Euler Characteristic, Expected Number and Height Distribution of Critical Points
Dan Cheng
This paper studies Gaussian random fields with Matérn covariance functions with smooth parameter . Two cases of parameter spaces, the Euclidean space and -dimensional spher…
On local maxima of smooth Gaussian nonstationary processes and stationary planar fields with trends
Dan Cheng
We present exact formulas for both the expected number and the height distribution of local maxima (peaks) in two distinct categories of smooth, non-centered Gaussian fields: (i) n…