Independence and determination of probabilities
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- by Zhiqiang Chen, Herman Rubin and Richard A. Vitale PDF
- Proc. Amer. Math. Soc. 125 (1997), 3721-3723 Request permission
Addendum: Proc. Amer. Math. Soc. 129 (2001), 2817-2817.
Abstract:
A non–atomic probability measure is determined by its specification of independent events. We give two proofs and related results.References
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Additional Information
- Zhiqiang Chen
- Affiliation: Department of Mathematics, William Paterson College, Wayne, New Jersey 07470
- Email: z_chen@smtplink.wilpaterson.edu
- Herman Rubin
- Affiliation: Department of Statistics, Purdue University, West Lafayette, Indiana 47907
- Email: hrubin@stat.purdue.edu
- Richard A. Vitale
- Email: rvitale@uconnvm.uconn.edu
- 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
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3721-3723
- MSC (1991): Primary 60A99; Secondary 28A99
- DOI: https://doi.org/10.1090/S0002-9939-97-03994-4
- MathSciNet review: 1416079