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Collision probability between sets of random variables

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  • Wendl, Michael C.

Abstract

We develop the collision probability for a canonical collision problem using a counting procedure based on signed graphs. The result involves Stirling numbers of the second kind and is straightforward to evaluate. Characteristics are discussed in the context of a generalized birthday problem and error of the standard binomial approximation is quantified. The basic solution for two sets is also extended to an arbitrary number of sets.

Suggested Citation

  • Wendl, Michael C., 2003. "Collision probability between sets of random variables," Statistics & Probability Letters, Elsevier, vol. 64(3), pages 249-254, September.
    • Handle: RePEc:eee:stapro:v:64:y:2003:i:3:p:249-254
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    References listed on IDEAS

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    1. Robert W. Patlovany, 1997. "U.S. Aviation Regulations Increase Probability of Midair Collisions," Risk Analysis, John Wiley & Sons, vol. 17(2), pages 237-248, April.
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    Cited by:

    1. Phillip G. Bradford, 2015. "Foundations for Wash Sales," Papers 1511.03704, arXiv.org, revised Jun 2016.
    2. Nakata, Toshio, 2008. "Collision probability for an occupancy problem," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1929-1932, September.

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    More about this item

    Keywords

    Stirling numbers Signed graphs;

    Statistics

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