Edge-Corrected Density Estimators for Point Processes

Statistics

Volumn 19, Issue 1, 1988, Pages 67-75

  Fiksel, Thomas ^a  

^a TU BERGAKADEMIE FREIBERG   (Germany)

Author keywords

edge correction; kernel estimator; nearest neighbour distance distribution function; Point process; product density

Indexed keywords

EID: 84948254491     PISSN: 02331888     EISSN: 10294910     Source Type: Journal    
DOI: 10.1080/02331888808802072     Document Type: Article

References (12)

1. Brillinger, D. R. (1975). Statistical Inference for Stationary Point Process. In: Stochastic Processes and Related Topics, Vol. 1, New York, 55–92.
2. Jouvet, E. (1984). Upper Bound of the Speed of Convergence of Moment Density Estimators for Stationary Point Processes. Metrika, 31, 349–360.
3. Krickeberg, K. (1982). Processus ponctuels en statistique. Ecote d’ Ete de Probabilites de Saint Flour N—4980, 205–313, Lecture Notes in Mathematics 929, Berlin, Springer.
4. Ohser, J., Ripley, B. D. and Stoyan, D. (1986). On the Efficiency of Edge Correction for Spatial Point Processes, (in prep.)
5. Ohser, J. and Stoyan, D. (1982). On the Second-Order and Orientation Analysis of Planar Stationary Point Processes. Biom. J. 23, 523–533.
6. Ripley, B. D. (1976). The Second-Order Analysis of Stationary Point Processes. J. Appl. Proh. 13, 255–266.
7. Ripley, B. D. (1977). Modelling Spatial Patterns. J. Roy. Statist. Soc. 2, 172–212.
8. Ripley, B. D. (1981). Spatial Statistics. New York — Chichester — Brisbane — Toronto, J. Wiley & Sons. ripley, B. D. (1983). Edge Corrections for Spatial Processes. In: Stochastic Geometry, Geometric Statistics, Stereology. Leipzig, BSB Teubner.
9. Stoyan, D. (1984a). On Correlation of Marked Point Processes. Math. Nachr. 116, 63–71.
10. Stoyan, D. (1984b). Correlation of the Marks of Marked Point Processes-Statistical Inference and Simple Models. Eiektron. Injormationsverarb. u. Kybern. 20, 285–294.
11. Stoyan, D. and Mecke, J. (1983). Stochastische Geometrie. Berlin, Akademie-Verlag.
12. Upton, G. and Fingleton, B. (1985). Spatial Data Analysis by Example, Vol. 1, Point Pattern and Quantitative Data. Chichester — New York — Brisbane — Toronto — Singapore, J. Wiley & Sons.