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Plug-in bandwidth matrices for bivariate kernel density estimation
We consider bandwidth matrix selection for bivariate kernel density estimators. The majority of work in this area has been directed towards selection of diagonal bandwidth matrices, but full… Expand
Residual analysis for spatial point processes (with discussion)
We define residuals for point process models fitted to spatial point pattern data, and we propose diagnostic plots based on them. The residuals apply to any point process model that has a conditional… Expand
Cross-validation bandwidth matrices for multivariate kernel density estimation
The performance of multivariate kernel density estimates depends crucially on the choice of bandwidth matrix, but progress towards developing good bandwidth matrix selectors has been relatively slow.… Expand
Variable kernel density estimation
- M. Hazelton
- 1 September 2003
Summary This paper considers the problem of selecting optimal bandwidths for variable (sample-point adaptive) kernel density estimation. A data-driven variable bandwidth selector is proposed,… Expand
Adaptive kernel estimation of spatial relative risk.
Kernel smoothing is routinely used for the estimation of relative risk based on point locations of disease cases and sampled controls over a geographical region. Typically, fixed-bandwidth kernel… Expand
Inference based on kernel estimates of the relative risk function in geographical epidemiology.
- M. Hazelton, T. M. Davies
- Mathematics, Medicine
- Biometrical journal. Biometrische Zeitschrift
- 1 February 2009
Kernel smoothing is a popular approach to estimating relative risk surfaces from data on the locations of cases and controls in geographical epidemiology. The interpretation of such surfaces is… Expand
sparr: Analyzing Spatial Relative Risk Using Fixed and Adaptive Kernel Density Estimation in R
R package sparr is introduced, providing the ability to construct both fixed and adaptive kernel-smoothed densities and risk functions, identify statistically significant fluctuations in an estimated risk function through the use of asymptotic tolerance contours, and visualize these objects in flexible and attractive ways. Expand
Retinal venous pulsation in glaucoma and glaucoma suspects.
PURPOSE To determine whether changes in central retinal vein pulsation characteristics occur in glaucoma, and how these are related to indices of glaucoma severity. DESIGN A large, consecutive,… Expand
Estimation of origin-destination matrices from link flows on uncongested networks
- M. Hazelton
- 1 September 2000
Given link flow data from an uncongested network over a number of time periods, the problem of estimating the origin-destination (O-D) traffic intensities is considered. A statistical model of the… Expand
Comparison of detrital zircon age distributions by kernel functional estimation
Abstract A method is presented for assessing and statistically testing the similarity of detrital zircon U–Pb age distributions frequently used in provenance analysis, correlation and tectonic… Expand