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arXiv · 1705.02731

Respondent driven sampling and sparse graph convergence

Siva Athreya·Adrian Röllin
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Abstract

We consider a particular respondent-driven sampling procedure governed by a graphon. By a specific clumping procedure of the sampled vertices we construct a sequence of sparse graphs. If the sequence of the vertex-sets is stationary then the sequence of sparse graphs converge to the governing graphon in the cut-metric. The tools used are concentration inequality for Markov chains and the Stein-Chen method.

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Siva Athreya, Adrian Röllin. 2017-05-08. Respondent driven sampling and sparse graph convergence. https://arxiv.org/abs/1705.02731

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