Estimation of summary characteristics from replicated spatial point processes

Kybernetika

Volumn 47, Issue 6, 2011, Pages 880-892

  Pawlas, Zbyněk ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

K function; Nearest neighbour distance distribution function; Non parametric estimation; Point process; Replication

Indexed keywords

EID: 83455200085     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. A. J. Baddeley and R. Gill: Kaplan-Meier estimators of distance distributions for spatial point processes. Ann. Statist. 25 (1997), 263-292.
2. A. J. Baddeley, R. A. Moyeed, C.V. Howard, and A. Boyde: Analysis of a threedimensional point pattern with replication. J. Roy. Statist. Soc. Ser. C 42 (1993), 641-668.
3. A. J. Baddeley and R. Turner: Spatstat: An R package for analyzing spatial point patterns. J. Statist. Software 12 (2005), 1-42. (Pubitemid 40218000)
4. M. L. Bell and G. K. Grunwald: Mixed models for the analysis of replicated spatial point patterns. Biostatistics 5 (2004), 633-648. (Pubitemid 41180210)
5. P. J. Diggle: Statistical Analysis of Spatial Point Patterns. 2nd edition. Arnold, London 2003.
6. P. J. Diggle, N. Lange, and F. M. Beneš: Analysis of variance for replicated spatial point patterns in clinical neuroanatomy. J. Amer. Statist. Assoc. 86 (1991), 618-625.
7. P. J. Diggle, J. Mateu, and H. E. Clough: A comparison between parametric and non-parametric approaches to the analysis of replicated spatial point patterns. Adv. in Appl. Probab. (SGSA) 32 (2000), 331-343.
8. K.-H. Hanisch: Some remarks on estimators of the distribution function of nearest neighbour distance in stationary spatial point patterns. Statistics 15 (1984), 409-412.
9. J. Illian, A. Penttinen, H. Stoyan, and D. Stoyan: Statistical Analysis and Modeling of Spatial Point Patterns. John Wiley & Sons, Chichester 2008.
10. A.A. Philimonenko, J. Janáček, and P. Hozák: Statistical evaluation of colocalization patterns in immunogold labeling experiments. J. Struct. Biol. 132 (2000), 201-210. (Pubitemid 32202933)
11. R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna 2010. URL: http://www.R-project.org.
12. D. Stoyan: On estimators of the nearest neighbour distance distribution function for stationary point processes. Metrika 64 (2006), 139-150. (Pubitemid 44451066)
13. C.G. Wager, B. A. Coull, and N. Lange: Modelling spatial intensity for replicated inhomogeneous point patterns in brain imaging. J. R. Statist. Soc. B 66 (2004), 429-446. (Pubitemid 38652730)