Methods for Analysing Spatial Processes of Several Types of Points

Methods for Analysing Spatial Processes of Several Types of Points

Two approaches are described to the analysis of spatial patterns consisting of several types of points. The first approach uses a method of asymptotically unbiased estimation of the second moment distribution; the second uses methods based on regions of empty space in the patterns. Some distribution...

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Veröffentlicht in:Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1982-01, Vol.44 (3), p.406-413
Hauptverfasser: Lotwick, H. W., Silverman, B. W.
Format: Artikel
Sprache:eng
Schlagworte:
Arteries
empty space
Estimation methods
Estimators
moment measures
monte carlo tests
Poisson process
spatial data
Spatial points
Statistical variance
Statistics
Tessellations
test of randomness
Unbiased estimators
variance reduction
vascular architecture
Veins
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Beschreibung
Zusammenfassung:Two approaches are described to the analysis of spatial patterns consisting of several types of points. The first approach uses a method of asymptotically unbiased estimation of the second moment distribution; the second uses methods based on regions of empty space in the patterns. Some distributional results are given in each case, and a method of Monte Carlo testing conditional on the marginal structure is described. The methods are illustrated by being applied to some physiological data.
ISSN:0035-9246
1369-7412
2517-6161
1467-9868
DOI:10.1111/j.2517-6161.1982.tb01221.x