On existence and mixing properties of germ-grain models

References

• Billingsley , P. 1968 . Convergence of probability measures , New York : Wiley .
   Google Scholar
• Daley , D. J. and Vere-Jones , D. 1988 . An introduction to the theory of point processes , New York : Springer .
   Google Scholar
• Franken , P. , König , D. , Arndt , U. and Schmidt , V. 1981 . Queues and point processes , Berlin : Akademie-Verlag .
   Google Scholar
• Fleischmann , K. 1979 . A continuity theorem for clustering . Lithuanian Math. J. , 19 : 131 – 139 .
   Google Scholar
• Fritz , J. 1970 . Generalizations of McMillan's theorem to random set functions . Studia Math. Sci. Hung. , 5 : 369 – 394 .
   Google Scholar
• Hanisch , K.-H. 1981 . On classes of random sets and point processes . Serdica , 7 : 160 – 166 .
   Google Scholar
• Matthes , K. , Kerstan , M. and Mecke , J. 1978 . Infinitely divisible point processes , Chichester : Wiley & Sons .
   Google Scholar
• Matheron , G. 1975 . Random sets and integral geometry , New York : Wiley & sons .
   Google Scholar
• Nguyen , X. X. and Zessin , H. 1979 . Ergodic theorems for spatial processes . Z. Wahrschein-lichkeitstheorie verw. Gebiete , 48 : 133 – 158 .
   Google Scholar
• Norberg , T. 1984 . Convergence and existence of random set distributions . Ann. Probab. , 12 : 726 – 732 .
   Web of Science ®Google Scholar
• Stoyan , D. , Kendall , W. S. and Mecke , J. 1987 . Stochastic geometry and its applications , Berlin : Akademie-Verlag .
   Google Scholar
• Weil , W. and Wieacker , J. A. 1984 . Densities for stationary random sets and point processes . Adv. Appl. Prob. , 16 : 324 – 346 .
   Web of Science ®Google Scholar
• Weil , W. and Wieacker , J. A. 1988 . A representation theorem for random sets . Prob. and Math. Stat. , 9A : 147 – 151 .
   Google Scholar
• Westcott , M. 1971 . On existence and mixing results for cluster point processes . J. R. Statist. Soc. Ser. , B 33 : 290 – 300 .
   Google Scholar
• Westcott , M. 1972 . The probability generating functional . J. Austr. Math. Soc. , 14 : 448 – 466 .
   Google Scholar