Asymptotic results for the number of Wagner’s solutions to a generalised birthday problem

Alexey Lindo and Serik Sagitov

Statistics & Probability Letters, 2015, vol. 107, issue C, 356-361

Abstract: We study two functionals of a random matrix A with independent elements uniformly distributed over the cyclic group of integers {0,1,…,M−1} modulo M. One of them, V0(A) with mean μ, gives the total number of solutions for a generalised birthday problem, and the other, W(A) with mean λ, gives the number of solutions detected by Wagner’s tree based algorithm.

Keywords: Chen–Stein method; Functionals of random matrices (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.09.014

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