A new graph related to the directions of nearest neighbours in a point process

Advances in Applied Probability

Volumn 35, Issue 1, 2003, Pages 47-55

  Chiu, S N ^a   Molchanov, I S ^b  

^a HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^b UNIVERSITY OF BERN   (Switzerland)

Author keywords

Convex hull; Degree; Point process; Random graph

Indexed keywords

ERROR CORRECTION; GRAPH THEORY; NUMBER THEORY; RANDOM PROCESSES; THEOREM PROVING;

EDGE CORRECTED ESTIMATOR; POINT PROCESS; RANDOM GRAPH;

POISSON DISTRIBUTION;

EID: 0037357701     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1046366098     Document Type: Article

References (4)

1. Baddeley, A. J. and Silverman, B. W. (1984). A cautionary example on the use of second-order methods for analyzing point patterns. Biometrics 40, 1089-1093.
2. Bolthausen, E. (1982). On the central limit theorem for stationary mixing random fields. Ann. Prob. 10, 1047-1050.
3. Chiu, S. N. (1999). An unbiased estimator for the survival function of censored data. Commun. Statist. Theory Meth. 28. 2249-2260.
4. Hall, P. (1988). Introduction to The Theory of Coverage Processes. John Wiley, New York.