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arXiv 1504.03574stat.ME
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响应者驱动抽样的非参数辨识

Nonparametric Identification for Respondent-Driven Sampling

Peter M. Aronow, Forrest W. Crawford

摘要:

受访者驱动抽样是一种针对隐藏或难以接触的人群的调查方法,其中被抽样的个人通过他们的社会联系招募研究人群中的其他人。最流行的估计为人口的平均值假设个人抽样概率是成比例的每个主题的报告程度在社会网络连接成员的隐藏人口。然而,目前还不清楚在什么情况下,这些估计是有效的,以及什么样的假设是正式需要确定人口数量。在这个简短的说明中,我们详细介绍了非参数识别结果的总体平均值时,抽样概率被假定为网络度的函数已知的规模。重要的是,我们建立了流行的Volz-Heckathorn(VH)估计的一致性的一般条件。我们的研究结果意味着,VH估计的一致性的条件远不如最近的RDS诊断工作所建议的严格。特别是,我们的研究结果不需要随机抽样或存在连接人口的网络。

英文摘要:

Respondent-driven sampling is a survey method for hidden or hard-to-reach populations in which sampled individuals recruit others in the study population via their social links. The most popular estimator for for the population mean assumes that individual sampling probabilities are proportional to each subject's reported degree in a social network connecting members of the hidden population. However, it remains unclear under what circumstances these estimators are valid, and what assumptions are formally required to identify population quantities. In this short note we detail nonparametric identification results for the population mean when the sampling probability is assumed to be a function of network degree known to scale. Importantly, we establish general conditions for the consistency of the popular Volz-Heckathorn (VH) estimator. Our results imply that the conditions for consistency of the VH estimator are far less stringent than those suggested by recent work on diagnostics for RDS. In particular, our results do not require random sampling or the existence of a network connecting the population.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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