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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access September 25, 2015

Laws of large numbers for ratios of uniform random variables

  • André Adler EMAIL logo
From the journal Open Mathematics


Let {Xnn n ≥ 1} and {Yn, n ≥ 1} be two sequences of uniform random variables. We obtain various strong and weak laws of large numbers for the ratio of these two sequences. Even though these are uniform and naturally bounded random variables the ratios are not bounded and have an unusual behaviour creating Exact Strong Laws.


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Received: 2015-5-25
Accepted: 2015-9-3
Published Online: 2015-9-25

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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