Random walks on directed networks: Inference and respondent-driven sampling
2016 (English)In: Journal of Official Statistics, ISSN 0282-423X, E-ISSN 2001-7367, Vol. 32, no 2, 433-459 p.Article in journal (Refereed) Published
Respondent-driven sampling (RDS) is often used to estimate population properties (e.g., sexual risk behavior) in hard-to-reach populations. In RDS, already sampled individuals recruit population members to the sample from their social contacts in an efficient snowball-like sampling procedure. By assuming a Markov model for the recruitment of individuals, asymptotically unbiased estimates of population characteristics can be obtained. Current RDS estimation methodology assumes that the social network is undirected, that is, all edges are reciprocal. However, empirical social networks in general also include a substantial number of nonreciprocal edges. In this article, we develop an estimation method for RDS in populations connected by social networks that include reciprocal and nonreciprocal edges. We derive estimators of the selection probabilities of individuals as a function of the number of outgoing edges of sampled individuals. The proposed estimators are evaluated on artificial and empirical networks and are shown to generally perform better than existing estimators. This is the case in particular when the fraction of directed edges in the network is large.
Place, publisher, year, edition, pages
2016. Vol. 32, no 2, 433-459 p.
Hidden population, social network, nonreciprocal relationship, Markov model
Probability Theory and Statistics
Research subject Mathematical Statistics
IdentifiersURN: urn:nbn:se:su:diva-129251DOI: 10.1515/JOS-2016-0023ISI: 000377566800011OAI: oai:DiVA.org:su-129251DiVA: diva2:920625
FunderSwedish Research Council, 2009-5759Riksbankens Jubileumsfond, P12-0705:1