• Medientyp: E-Artikel
  • Titel: The asymptotic distribution of random molecules
  • Beteiligte: Rehder, Wulf
  • Erschienen: Cambridge University Press (CUP), 1980
  • Erschienen in: Advances in Applied Probability, 12 (1980) 3, Seite 640-654
  • Sprache: Englisch
  • DOI: 10.2307/1426424
  • ISSN: 0001-8678; 1475-6064
  • Schlagwörter: Applied Mathematics ; Statistics and Probability
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: If n solid spheres Kn of some volume V(Kn) are scattered randomly in the unit cube of euclidean d-space, some of them will overlap to form Ln(s) molecules with exactly s atoms Kn. The random variable Ln(s) has a limit distribution if V(Kn) tends to zero but nV(Kn) tends to infinity at a certain rate: it is shown that forLn(s) is asymptotically Poisson.