A Series Criterion for the Almost-Sure Growth Rate of the Generalized Diameter of an Increasing Sequence of Random Points

Journal of Theoretical Probability

Volumn 12, Issue 1, 1999, Pages 27-47

  Appel, Martin J B ^a   Klass, Michael J ^b   Russo, Ralph P ^c  

^a UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF IOWA   (United States)

Author keywords

Diameter; Maximum distance; Probability on metric spaces; Series criteria

Indexed keywords

EID: 0033471359     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021788309026     Document Type: Article

References (4)

1. d. Adv. Appl. Prob. 29, 567-581.
2. d. Adv. Appl. Prob. 29, 582-594.
3. Dubins, L. E., and Freedman, D. A. (1965). A sharper form of the Borel-Cantelli lemma and the strong law. Ann. Math. Stat. 36, 800-807.
4. Durrett, R. (1995). Probability: Theory and Examples. Wadsworth, Second Edition.