Abundance estimation with a categorical covariate subject to missing in continuous-time capture-recapture studies. Issue 20 (17th October 2020)

• Record Type: Journal Article
• Authors: Liu, Yang; Zhu, Lin; Liu, Guanfu; Li, Huapeng
• Is Part Of: Communications in statistics. Volume 49:Issue 20(2020)
• Page Start: 4919
• Page End: 4928
• Publication Date: 2020-10-17
• Subjects: Abundance -- continuous-time capture-recapture -- missing covariate -- maximum likelihood estimation; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1609039
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: In continuous-time capture-recapture experiments, individual heterogeneity has a large effect on the capture probability. To account for the heterogeneity, we consider an individual covariate, which is categorical and subject to missing. In this article, we develop a general model to summarize three kinds of missing mechanisms, and propose a maximum likelihood estimator of the abundance. A likelihood ratio confidence interval of the abundance is also proposed. We illustrate the proposed methods by simulation studies and a real data example of a bird species prinia subflava in Hong Kong.