5 papers · 1 filter
-functions for point processes on complex surfaces
Francisco Cuevas-Pacheco, Scott Ward, Ed Cohen +1
The -function is a fundamental summary statistic for assessing clustering or regularity of point processes in two or three dimensional Euclidean space. In practice, however, man…
Online Spectral Density Estimation
Shahriar Hasnat Kazi, Niall Adams, Edward A. K. Cohen
This paper develops the first online algorithms for estimating the spectral density function -- a fundamental object of interest in time series analysis -- that satisfies the three…
Functional summary statistics and testing for independence in marked point processes on the surface of three dimensional convex shapes
Scott Ward, Edward A. K. Cohen, Niall M. Adams
The fundamental functional summary statistics used for studying spatial point patterns are developed for marked homogeneous and inhomogeneous point processes on the surface of a sp…
Online Changepoint Detection via Dynamic Mode Decomposition
Victor K. Khamesi, Niall M. Adams, Dean A. Bodenham +1
Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring…
Cramer-Rao Lower Bound for Point Based Image Registration with Heteroscedastic Error Model for Application in Single Molecule Microscopy
E. A. K. Cohen, D. Kim, R. J. Ober
The Cramer-Rao lower bound for the estimation of the affine transformation parameters in a multivariate heteroscedastic errors-in-variables model is derived. The model is suitable…