Article PDF
Avoid common mistakes on your manuscript.
References
Araujo, A., Giné, E.: The central limit theorem for real and Banach valued random variables. New York-Chichester-Brisbane-Toronto: Wiley 1980
Arrow, K.J., Hahn, F.H.: General competitive analysis. San Francisco: Holden-Day 1971
Artstein, Z., Vitale, R.A.: A strong law of large numbers for random compact sets. Ann. Probability 5, 879–882 (1975)
Aumann, R.J.: Integrals of set-valued functions. J. Math. Anal. Appl. 12, 1–12 (1965)
Breiman, L.: Probability. Reading-Menlo Park-London-Don Mills: Addison-Wesley 1968
Cassels, J.W.S.: Measures of the non-convexity of sets and the Shapley-Folkman-Starr theorem. Math. Proc. Cambridge Philos. Soc. 78, 433–436 (1975)
Cressie, N.: A strong limit theorem for random sets. Adv. Appl. Prob. Suppl. 10, 36–46 (1978)
Cressie, N.: Random set limit theorems. Adv. Appl. Prob. 11, 281–282 (1979)
Cressie, N.: A central limit theorem for random sets. Z. Wahrscheinlichkeitstheorie verw. Gebiete 49, 37–47 (1979)
Leichtweiß, K.: Konvexe Mengen. Berlin-Heidelberg-New York: Springer 1980
Matheron, G.: Random sets and integral geometry. New York-London-Sydney-Toronto: Wiley 1975
Wegmann, R.: Einige Maßzahlen für nichtkonvexe Mengen. Arch. Math. 34, 69–74 (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Weil, W. An application of the central limit theorem for banach-space-valued random variables to the theory of random sets. Z. Wahrscheinlichkeitstheorie verw Gebiete 60, 203–208 (1982). https://doi.org/10.1007/BF00531823
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00531823