Barker Richard J, Schofield Matthew R, Wright Janine A, Frantz Alain C, Stevens Chris
Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9016, New Zealand.
Biometrics. 2014 Dec;70(4):775-82. doi: 10.1111/biom.12241. Epub 2014 Oct 13.
Motivated by field sampling of DNA fragments, we describe a general model for capture-recapture modeling of samples drawn one at a time in continuous-time. Our model is based on Poisson sampling where the sampling time may be unobserved. We show that previously described models correspond to partial likelihoods from our Poisson model and their use may be justified through arguments concerning S- and Bayes-ancillarity of discarded information. We demonstrate a further link to continuous-time capture-recapture models and explain observations that have been made about this class of models in terms of partial ancillarity. We illustrate application of our models using data from the European badger (Meles meles) in which genotyping of DNA fragments was subject to error.
受DNA片段现场采样的启发，我们描述了一个用于连续时间内逐个抽取样本的捕获-再捕获建模的通用模型。我们的模型基于泊松采样，其中采样时间可能是未观测到的。我们表明，先前描述的模型对应于我们泊松模型的部分似然，并且通过关于丢弃信息的S-和贝叶斯辅助性的论证，其使用可能是合理的。我们展示了与连续时间捕获-再捕获模型的进一步联系，并根据部分辅助性解释了关于此类模型的观察结果。我们使用来自欧洲獾（Meles meles）的数据说明了我们模型的应用，其中DNA片段的基因分型存在误差。
