臺灣博碩士論文加值系統

本研究利用重複捕取模型的方法估計物種的佔據率，我們主要評估無母
數方法摺刀估計式、Chao 下界估計式與傳統佔據率模型之最大概似估計量
(其包含貝塔混合模型以及有限混合模型) 的優異。本文也提出關於Chao下
界估計的修正估計量，使其估計能降低偏差提高其精確度。並利用模擬研究
以及巴洛科羅拉多島(Barro Colorado Island，BCI) 的森林樣區資料去評估所有模型的表現。

In this study, we consider the estimation of the site occupancy rate of a species. We compare some parametric site occupancy models with some nonparametric capture-recapture methods such as the Jackknife estimators and the Chao lower bound estimator. We propose a bias-adjusted Chao estimator,
which is able to improve its accuracy. A simulation study was conducted to evaluate the proposed method.

1. 緒論1
2. 傳統佔據率模型3
2.1. 二項常數模型(Binomial-constant model) . . . . . . . . . . . . . 4
2.2. 貝塔二項式混合分佈(Beta-Binomial Mixture) . . . . . . . . . . 5
2.3. 有限混合模型(Finite Mixture) . . . . . . . . . . . . . . . . . . . . 6
3. 無母數估計法7
3.1. 重複捕取模式(capture-recapture) . . . . . . . . . . . . . . . . . . 7
3.2. 拔靴法(Bootstrap Method) . . . . . . . . . . . . . . . . . . . . . 8
3.3. 摺刀估計(Jackknife estimators) . . . . . . . . . . . . . . . . . . . 8
3.4. Chao2 下界估計. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.5. 修正Chao2 下界估計模型(Chao.b) . . . . . . . . . . . . . . . . . 10
4. 模擬分析12
4.1. 模擬分析符號. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.2. 模擬分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
5. 實際資料分析16
6. 結論與建議18
7. 參考文獻 19

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