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SOME LIMITING BEHAVIOR FOR ASYMPTOTICALLY NEGATIVE ASSOCIATED RANDOM VARIABLES
Published online by Cambridge University Press: 29 November 2016
Abstract
In this paper, we study the almost sure convergence for sequences of asymptotically negative associated (ANA) random variables. As a result, we extend the classical Khintchine–Kolmogorov convergence theorem, Marcinkiewicz strong law of large numbers, and the three series theorem for sequences of independent random variables to sequences of ANA random variables without necessarily adding any extra conditions.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 32 , Issue 1 , January 2018 , pp. 58 - 66
- Copyright
- Copyright © Cambridge University Press 2016
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