On the continuity and absolute continuity of random closed sets

Stochastic Analysis and Applications

Volumn 24, Issue 2, 2006, Pages 381-397

  Capasso, Vincenzo ^a   Villa, Elena ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

Geometric measure theory; Random measures; Random sets; Stochastic geometry

Indexed keywords

EID: 32944460512     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1080/07362990500522437     Document Type: Article

References (8)

1. Matheron, G. 1975. Random Sets and Integral Geometry. New York: John Wiley & Sons.
2. Molchanov, I.S. 1993. Limit Theorems for Unions of Random Closed Sets. Lecture Notes in Mathematics, 1561. Berlin Heidelberg New York: Springer-Verlag.
3. Capasso, V., and E. Villa. 2005. On the evolution equations of mean geometric densities for a class of space and time inhomogeneous stochastic birth-and-growth processes. In Stochastic Geometry, Lecture Notes in Mathematics, CIME Subseries, ed. W. Weil, in press. Heidelberg: Springer.
4. Capasso, V., and E. Villa. On the geometric densities of random closed sets, in preparation.
5. Daley, D.J., and D. Vere-Jones. 1998. An Introduction to the Theory of Point Processes. New York: Springer.
6. Hug, D., G. Last, and W. Weil. 2002. A survey on contact distributions. In Morphology of Condensed Matter, Physics and Geometry of Spatially Complex Systems, eds. K. Mecke, and D. Stoyan. Lecture Notes in Physics, 600. Berlin Heidelberg New York: Springer.
7. Möller, J. 1992. Random Johnson-Mehl tessellations. Adv. Appl. Prob. 24:814-844.
8. Capasso, V., and E. Villa. 2005. Survival functions and contact distribution functions for inhomogeneous stochastic geometric marked point processes. Stoch. An. Appl. 23:79-96.