Abstract
Reach into a box containing m balls and pull out a geometric (p) - sized sample. Then put the balls back into the box and sample again. Let X be the number of samples needed to see all m balls. We derive nonrecursive approximation formulas for the mean and standard deviation of X.
The authors would like to thank M. Jacobsen for his helpful comments, and M. A. Martin for his computer assistance. We also appreciate the careful work of the referee.
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References
Kendall, M. G., and Stuart, A. (1969). The Advanced Theory of Statistics, volume 1, 3rd ed., Hafner, New York.
Sellke, T. M. (1992). How many iid samples does it take to see all the balls in a box? Purdue University Technical Report 92–47.
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© 1994 Springer-Verlag New York, Inc.
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Sellke, T., Overdeck, J. (1994). How Many Geometric (p) Samples Does It Take to See All the Balls in a Box?. In: Gupta, S.S., Berger, J.O. (eds) Statistical Decision Theory and Related Topics V. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2618-5_31
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DOI: https://doi.org/10.1007/978-1-4612-2618-5_31
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7609-8
Online ISBN: 978-1-4612-2618-5
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