统计研究

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并发多样本滚雪球抽样的捕获再捕获估计

米子川   

  • 出版日期:2015-06-15 发布日期:2015-06-25

Capture-recapture Estimates for Concurrent Multisample Snowball Sampling

Mi Zichuan   

  • Online:2015-06-15 Published:2015-06-25

摘要: 滚雪球抽样是一种非概率抽样方法,一般采用线索触发的方式进行抽样,通过同伴推荐和再推荐来逐次抽取并组织样本。本文引入捕获再捕获抽样估计方法对并发式多样本滚雪球抽样的总体规模进行估计,比较了Peterson、Chapman等的估计方法,提出了以并发式加权线性模型去估计总体规模的基本思路,在本文设计的三种估计量中,共权估计量方差最小,离散性质局部最优。最后,对一个真实的滚雪球抽样调查过程进行了实证分析。

Abstract: As one of non-probability sampling methods, Snowball sampling uses sampling methods by cues, which are triggered by peer recommendation and successive recommendation, to expansion tissue samples commonly. This paper introduces a sample estimation method called Capture-Recapture into the concurrent and diverse Snowball Sampling to estimate parameters. On the basis of comparing a variety of estimation methods including Peterson, Chapman and so on, this paper proposes a basic idea, that is, using a weighted linear model to estimate the overall size. And one empirical analysis of a real sample survey has been carried out.

Key words: Snowball sampling, Capture-recapture, Method of Estimation