Journal of Applied Probability

Respondent-driven sampling and an unusual epidemic

J. Malmros, F. Liljeros, and T. Britton

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Abstract

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 $c\lt\infty$ 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.

Article information

Source
J. Appl. Probab., Volume 53, Number 2 (2016), 518-530.

Dates
First available in Project Euclid: 17 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.jap/1466172871

Mathematical Reviews number (MathSciNet)
MR3514295

Zentralblatt MATH identifier
1342.92256

Subjects
Primary: 92D30: Epidemiology
Secondary: 91D30: Social networks

Keywords
Stochastic epidemic model respondent-driven sampling configuration model Reed–Frost

Citation

Malmros, J.; Liljeros, F.; Britton, T. Respondent-driven sampling and an unusual epidemic. J. Appl. Probab. 53 (2016), no. 2, 518--530. https://projecteuclid.org/euclid.jap/1466172871


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