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Characterisation of equalisation problems via random walks

Published online by Cambridge University Press:  24 February 2022

Toshio Nakata
Toshio Nakata*
Affiliation:
Department of Mathematics, University of Teacher Education Fukuoka, Munakata, Fukuoka, 811-4192, Japan e-mail: [email protected]
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Extract

This is a follow-up to a recent Gazette Article by Abel [1]. We investigate probabilistic equalisation problems proposed in [1] using the Pólya urn, and characterise them through simple random walks.

Type
Articles
Information
The Mathematical Gazette , Volume 106 , Issue 565 , March 2022 , pp. 61 - 67
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Copyright
© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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References

Abel, U., On the relative error between the binomial and the hypergeometric distribution, Math. Gaz. 104 (March 2020) pp. 136–142.10.1017/mag.2020.15CrossRefGoogle Scholar
Feller, W., An introduction to probability theory and its applications, Vol. I, (3rd edn.), Wiley (1968).Google Scholar
Matsumoto, K., Nakata, T., Limit theorems for a generalized Feller game, J. Appl. Prob. 50 (2013) pp. 54–63.10.1239/jap/1363784424CrossRefGoogle Scholar
Nakata, T., Approximations for the Feller games, Math. Gaz., 105 (November 2021) pp. 539–543.10.1017/mag.2021.130CrossRefGoogle Scholar
Johnson, N., Kotz, S., Urn models and their application: an approach to modern discrete probability theory, Wiley (1977).Google Scholar
Mahmoud, H., Pólya urn models, Chapman and Hall/CRC (2008).10.1201/9781420059847CrossRefGoogle Scholar
Graham, R., Knuth, D., Patashnik, O., Concrete Mathematics: A foundation for computer science (2nd edn.) Addison-Wesley (1994).Google Scholar