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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Independence and determination of probabilities

Authors: Zhiqiang Chen, Herman Rubin and Richard A. Vitale
Journal: Proc. Amer. Math. Soc. 125 (1997), 3721-3723
MSC (1991): Primary 60A99; Secondary 28A99
Addendum: Proc. Amer. Math. Soc. 129 (2001), 2817.
MathSciNet review: 1416079
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Abstract: A non-atomic probability measure is determined by its specification of independent events. We give two proofs and related results.

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Additional Information

Zhiqiang Chen
Affiliation: Department of Mathematics, William Paterson College, Wayne, New Jersey 07470

Herman Rubin
Affiliation: Department of Statistics, Purdue University, West Lafayette, Indiana 47907

Richard A. Vitale

PII: S 0002-9939(97)03994-4
Keywords: Determining conditions, independence, Lyapunov Convexity Theorem, non--atomic measure, stochastic independence
Received by editor(s): March 12, 1996
Received by editor(s) in revised form: July 1, 1996
Additional Notes: The first author was supported in part by a grant from the Center for Research, School of Science and Health, William Paterson College.
The third author was supported in part by ONR Grant N00014-90-J-1641.
Communicated by: Stanley Sawyer
Article copyright: © Copyright 1997 American Mathematical Society