1985/01/01 by Peter J. Diggle, Peter Diggle · 1 citation
Environmental Science · Mathematics · #Advanced Statistical Methods and Models #Soil Geostatistics and Mapping #Statistical Methods and Inference
paper · doi:10.2307/2347366
crossref issued 1985/01/01 · crossref published 1985/01/01 · crossref published-print 1985/01/01 · openalex publication_date 1985/01/01 · crossref created 2006/06/18 · crossref deposited 2021/07/20 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30
A method for estimating the local intensity of a one‐dimensional point process is described. The estimator uses an adaptation of Rosenblatt's kernel method of non‐parametric probability density estimation, with a correction for end‐effects. An expression for the mean squared error is derived on the assumption that the underlying process is a stationary Cox process, and this result is used to suggest a practical method for choosing the value of the smoothing constant. The performance of the estimator is illustrated using simulated data. An application to data on the locations of joints along a coal seam is described. The extension to two‐dimensional point processes is noted.