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Respondent-driven sampling and an unusual epidemic
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Social Sciences, Department of Sociology.
Stockholm University, Faculty of Science, Department of Mathematics.
2016 (English)In: Journal of Applied Probability, ISSN 0021-9002, E-ISSN 1475-6072, Vol. 53, no 2, 518-540 p.Article in journal (Refereed) Published
Abstract [en]

Respondent-driven sampling (RDS) is frequently used when sampling from hidden populations. In RDS, sampled individuals pass on participation coupons to at most c of their acquaintances in the community (c = 3 being a common choice). If these individuals choose to participate, they in turn pass coupons on to their acquaintances, and so on. The process of recruiting is shown to behave like a new Reed-Frost-type network epidemic, in which `becoming infected' corresponds to study participation. We calculate R-0, the probability of a major `outbreak', and the relative size of a major outbreak for c < infinity in the limit of infinite population size and compare to the standard Reed-Frost epidemic. Our results indicate that c should often be chosen larger than in current practice.

Place, publisher, year, edition, pages
2016. Vol. 53, no 2, 518-540 p.
Keyword [en]
Stochastic epidemic model, Respondent-driven sampling, Configuration model, Reed-Frost
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:su:diva-129252DOI: 10.1017/jpr.2016.17ISI: 000378598700016OAI: oai:DiVA.org:su-129252DiVA: diva2:920619
Funder
Swedish Research Council, 2009-5759Riksbankens Jubileumsfond, P12-0705:1
Available from: 2016-04-18 Created: 2016-04-18 Last updated: 2016-08-08Bibliographically approved
In thesis
1. Studies in respondent-driven sampling: Directed networks, epidemics, and random walks
Open this publication in new window or tab >>Studies in respondent-driven sampling: Directed networks, epidemics, and random walks
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Respondent-driven sampling (RDS) is a link-tracing sampling methodology especially suitable for sampling hidden populations. A clever sampling mechanism and inferential procedures that facilitate asymptotically unbiased population estimates has contributed to the rising popularity of the method. The papers in this thesis extend RDS estimation theory to some population structures to which the classical RDS estimation framework is not applicable and analyse the behaviour of the RDS recruitment process. 

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University, 2016. 46 p.
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
urn:nbn:se:su:diva-129287 (URN)978-91-7649-430-1 (ISBN)
Public defence
2016-06-15, sal 14, hus 5, Kräftriket, Roslagsvägen 101, Stockholm, 10:00 (English)
Opponent
Supervisors
Funder
Swedish Research Council
Note

At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 2: In press. Paper 3: Accepted. Paper 4: Manuscript.

Available from: 2016-05-23 Created: 2016-04-20 Last updated: 2016-05-11Bibliographically approved

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Malmros, JensLiljeros, FredrikBritton, Tom
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