Keywords: cluster process; Boolean model; spherical contact distribution function; Poisson process; Matérn model
@article{10_21136_MB_1997_126185,
author = {Rataj, Jan and Saxl, Ivan},
title = {Boolean cluster models: mean cluster dilations and spherical contact distances},
journal = {Mathematica Bohemica},
pages = {21--36},
year = {1997},
volume = {122},
number = {1},
doi = {10.21136/MB.1997.126185},
mrnumber = {1446397},
zbl = {0892.60015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.126185/}
}
TY - JOUR AU - Rataj, Jan AU - Saxl, Ivan TI - Boolean cluster models: mean cluster dilations and spherical contact distances JO - Mathematica Bohemica PY - 1997 SP - 21 EP - 36 VL - 122 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.126185/ DO - 10.21136/MB.1997.126185 LA - en ID - 10_21136_MB_1997_126185 ER -
%0 Journal Article %A Rataj, Jan %A Saxl, Ivan %T Boolean cluster models: mean cluster dilations and spherical contact distances %J Mathematica Bohemica %D 1997 %P 21-36 %V 122 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.126185/ %R 10.21136/MB.1997.126185 %G en %F 10_21136_MB_1997_126185
Rataj, Jan; Saxl, Ivan. Boolean cluster models: mean cluster dilations and spherical contact distances. Mathematica Bohemica, Tome 122 (1997) no. 1, pp. 21-36. doi: 10.21136/MB.1997.126185
[1] Affentranger F.: Expected volume of a random polytope in a ball. J. Microscopy 151 (1988), 277-287. | DOI
[2] Baddeley A. J., Gill R. D.: Kaplan-Meier estimators of interpoint distance distributions for spatial point processes. Research Report BS-R 9315. CWI, Amsterdam 1993.
[3] Buchta C: Das Volumen von Zufallpolyedern im Ellipsoid. Anz. Österr. Akad. Wiss. Math.-Natur. Kl. 1 (1984), 1-4. | MR
[4] Coleman R.: The distance from a given point to the nearest end of one member of a random process of linear segments. Stochastic geometry (Harding E. F., Kendall D. G., eds.). John Wiley, London, 1974, pp. 192-201. | MR | Zbl
[5] Daley D. J., Vere-Jones D.: An Introduction to the Theory of Point Processes. Springer-Verlag, New York, 1988. | MR | Zbl
[6] Miles R.E.: Isotropic random simplices. Adv. Appl. Probab. 3 (1971), 353-382. | DOI | MR | Zbl
[7] Saxl I.: Spherical contact distances in Neyman-Scott process of regular clusters. Acta Stereol. 12 (1993), 115-122.
[8] Saxl I., Rataj J.: Spherical contact and nearest neighbour distances in Boolean cluster fields. Acta Stereol. 15 (1996). 91-96.
[9] Stoyan D.: Statistical estimation of model parameters of planar Neyman-Scott cluster processes. Metrika 39 (1992), 67-74. | DOI | MR | Zbl
[10] Stoyan D., Kendall W. S., Mecke J.: Stochastic Geometry and its Applications. J. Wiley, Chichester & Akademie-Verlag, Berlin, 1987. | MR | Zbl
Cité par Sources :