3 papers
math.ST2026
Cluster size distributions of discrete random fields
Dan Cheng, John Ginos
We study discrete random fields parameterized on the -dimensional integer lattice . For a fixed threshold , the excursion set $\{t…
stat.ME2026
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…
math.PR2024
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…