Edge‐corrected Estimators for the Reduced Second Moment Measure of Point Processes
- 1 January 1989
- journal article
- research article
- Published by Wiley in Biometrical Journal
- Vol. 31 (5) , 563-575
- https://doi.org/10.1002/bimj.4710310509
Abstract
A new edge‐corrected estimator is proposed for the second moment cumulative functionK(t)introduced by Ripley (1977,Journal of the Royal Statistical Society, Series B39, 172–212). This new estimator is compared by simulation methods with existing edge‐corrected estimators in the context of bothK(t)andL(t)functions which are used to study point patterns. The results of the simulation study suggests that the new estimator provides almost unbiased estimates ofK(t)andL(t)and has a smaller mean squared error than its predecessors.Keywords
This publication has 5 references indexed in Scilit:
- On the Second‐Order and Orientation Analysis of Planar Stationary Point ProcessesBiometrical Journal, 1981
- Space Time Correlations for Microearthquakes: A Pilot StudyAdvances in Applied Probability, 1978
- Modelling Spatial PatternsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1977
- The second-order analysis of stationary point processesJournal of Applied Probability, 1976
- Statistical Approach to Problems of CosmologyJournal of the Royal Statistical Society Series B: Statistical Methodology, 1958