. Author manuscript; available in PMC: 2016 May 23.

Published in final edited form as: J R Stat Soc Ser A Stat Soc. 2014 May 1;178(1):241–269. doi: 10.1111/rssa.12059

Table 1.

Assumptions of the Volz-Heckathorn Estimator. Assumptions in bold-italics are considered in this paper, with section numbers given. A version of this table appeared in Gile and Handcock (2010).

	Network Structure Assumptions	Sampling Assumptions
Random Walk Model	Network size large (N >> n)	*With-replacement sampling (4)* Single non-branching chain
Remove Seed Dependence	*Homophily weak enough (5)* *Bottlenecks limited (5)* Connected graph	*Enough sample waves (5)*
Respondent Behavior	*All ties reciprocated (6)*	*Degree accurately measured (7)* *Random referral (8)*