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Collision probability for an occupancy problem

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  • Nakata, Toshio

Abstract

We study the collision probability for a balls-and-bins problem, developed by Wendl [Wendl, M., 2003. Collision probability between sets of random variables. Statistics & Probability Letters 64, 249-254] using the method of enumerating surjections. We give the exact distribution for the number of collisions and the expectation which has a simple expression.

Suggested Citation

  • Nakata, Toshio, 2008. "Collision probability for an occupancy problem," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1929-1932, September.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:13:p:1929-1932
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    1. Wendl, Michael C., 2003. "Collision probability between sets of random variables," Statistics & Probability Letters, Elsevier, vol. 64(3), pages 249-254, September.
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