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A note on exchangeable events

Published online by Cambridge University Press:  14 July 2016

Yu-Sheng Hsu
Yu-Sheng Hsu*
Affiliation:
Georgia State University
*
∗ Postal address: Department of Mathematics, Georgia State University, Atlanta, Georgia 30303, U.S.A.
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Abstract

Kendall [2] gave a thorough discussion of De Finetti constants for a sequence (finite or infinite) of exchangeable events. Galambos [1] and Ridler-Rowe [3] also found some interesting results in this area. In this paper, we intend to give a necessary and sufficient condition for a finite sequence of exchangeable events to be extendable to an infinite sequence of exchangeable events.

Keywords

EXCHANGEABLE EVENTSDE FINETTI CONSTANT
Type
Short Communications
Information
Journal of Applied Probability , Volume 16 , Issue 3 , September 1979 , pp. 662 - 664
Copyright
Copyright © Applied Probability Trust 1979 

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References

[1] Galambos, J, (1973) A general Poisson limit of probability theory. Duke Math. J. 40, 581–586.Google Scholar
[2] Kendall, D. G. (1967) On finite and infinite sequences of exchangeable events. Stud. Sci. Math. Hung. 2, 319–327.Google Scholar
[3] Ridler-Rowe, C. J. (1967) On two problems of exchangeable events. Stud. Sci. Math. Hung. 2, 415–418.Google Scholar