Abundance estimation with a categorical covariate subject to missing in continuous-time capture-recapture studies
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...
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| Published in | Communications in statistics. Theory and methods Vol. 49; no. 20; pp. 4919 - 4928 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Taylor & Francis
17.10.2020
Taylor & Francis Ltd |
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| 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. |
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| AbstractList | 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. |
| Author | Li, Huapeng Zhu, Lin Liu, Yang Liu, Guanfu |
| Author_xml | – sequence: 1 givenname: Yang surname: Liu fullname: Liu, Yang organization: Key Laboratory of Advanced Theory and Application in Statistics and Data Science - MOE, School of Statistics, East China Normal University – sequence: 2 givenname: Lin surname: Zhu fullname: Zhu, Lin organization: Institute of Statistics and Big Data, Renmin University of China – sequence: 3 givenname: Guanfu surname: Liu fullname: Liu, Guanfu organization: School of Statistics and Information, Shanghai University of International Business and Economics – sequence: 4 givenname: Huapeng surname: Li fullname: Li, Huapeng email: lihuaa1_0@163.com organization: School of Mathematics and Statistics, Shanxi Datong University |
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| SubjectTerms | Abundance Birds Computer simulation Confidence intervals continuous-time capture-recapture Heterogeneity Likelihood ratio maximum likelihood estimation Maximum likelihood estimators missing covariate Statistical analysis |
| Title | Abundance estimation with a categorical covariate subject to missing in continuous-time capture-recapture studies |
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