Collision probability between sets of random variables

Michael C. Wendl

Statistics & Probability Letters, 2003, vol. 64, issue 3, 249-254

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.

Keywords: Stirling; numbers; Signed; graphs (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (3)

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