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Minimum variance in the coupon collector's problem

Published online by Cambridge University Press:  22 June 2017

Yaming Yu*
Affiliation:
University of California
*
* Postal address: Department of Statistics, University of California, CA 92697, USA. Email address: yamingy@uci.edu
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Abstract

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Type
Letter to the Editor
Copyright
Copyright © Applied Probability Trust 2017 

References

Anceaume, E., Busnel, Y. and Sericola, B. (2015). New results on a generalized coupon collector problem using Markov chains. J. Appl. Prob. 52, 405418. Google Scholar
Doumas, A. V. and Papanicolaou, V. G. (2012). The coupon collector's problem revisited: asymptotics of the variance. Adv. Appl. Prob. 44, 166195. CrossRefGoogle Scholar
Marshall, A. W., Olkin, I. and Arnold, B. C. (2009). Inequalities: Theory of Majorization and Its Applications, 2nd edn. Springer, New York. Google Scholar
Ross, S. (2010). Introduction to Probability Models, 10th edn. Academic Press, Burlington, MA. Google Scholar
Sendov, H. and Shan, S. (2015). New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures. J. Theoret. Prob. 28, 16891725. Google Scholar