Respondent-driven sampling and sparse graph convergence
Electronic Communications in Probability
We consider a particular respondent-driven sampling procedure governed by a graphon. Using 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 converges to the governing graphon in the cut-metric. The tools used are a concentration inequality for Markov chains and the Stein-Chen method.
Athreya, Siva and Röllin, Adrian, "Respondent-driven sampling and sparse graph convergence" (2018). Journal Articles. 1596.