Coverage of the whole space

Advances in Applied Probability

Volumn 35, Issue 4, 2003, Pages 898-912

  Molchanov, Ilya ^a   Scherbakov, Vadim ^b  

^a UNIVERSITY OF BERN   (Switzerland)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Boolean model; Coverage; Germ grain model

Indexed keywords

BOOLEAN ALGEBRA; FUNCTIONS; GEOMETRY; INTEGRATION; MATHEMATICAL MODELS; RANDOM PROCESSES; SET THEORY;

COVERAGE; GERM-GRAIN MODEL;

PROBABILITY;

EID: 0344082903     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1067436326     Document Type: Article

References (9)

1. ALDOUS, D. (1989). Probability Approximations via the Poisson Clumping Heuristic. Springer, New York.
2. BINGHAM, N. H., GOLDIE, C. M. AND TEUGELS, J. L. (1987). Regular Variation. Cambridge University Press.
3. CHIU, S. N. (1995). Limit theorems for the time of completion of Johnson-Mehl tessellations. Adv. Appl. Prob. 27, 889-910.
4. HALL, P. (1988). Introduction to the Theory of Coverage Processes. John Wiley, New York.
5. KENDALL, M. G. AND MORAN, P. A. P. (1963). Geometrical Probability. Charles Griffin, London.
6. MEESTER, R. AND ROY, R. (1996). Continuum Percolation (Cambridge Tracts Math. 119). Cambridge University Press.
7. MOLCHANOV, I. S. (1997). Statistics of the Boolean Model for Practitioners and Mathematicians. John Wiley, Chichester.
8. STOYAN, D., KENDALL, W. S. AND MECKE, J. (1995). Stochastic Geometry and Its Applications, 2nd edn. John Wiley, Chichester.
9. TASCHE, D. (1997). On the second Borel-Cantelli lemma for strongly mixing sequences of events. J. Appl. Prob. 34, 381-394.