研究生: |
鄧安婷 |
---|---|
論文名稱: |
二維馬可夫鏈具時間效應與行為反應之重複捕取模式 Two - Dimensional Markov Chain Capture - Recapture Model with Time Effect and Behavior Response |
指導教授: | 趙蓮菊 |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 統計學研究所 Institute of Statistics |
論文出版年: | 2004 |
畢業學年度: | 92 |
語文別: | 中文 |
論文頁數: | 56 |
中文關鍵詞: | 重複捕取 、馬可夫鏈 |
相關次數: | 點閱:3 下載:0 |
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本文的研究目的在於發展一個新的封閉型重複捕取模式,可以同時考慮時間效應、短期和長期行為反應效應,並且在所發展的重複捕取模式下,估計母體總數。本文採用的方法為:建構在二維馬可夫鏈觀念下,加入時間效應以推廣過去解釋行為反應的模式。針對此模式,本文提出三個不同的估計量:最大概似估計量、條件最大概似估計量、以及廣義估計方程估計量。為了評估所提出的模式與估計量之表現,我們利用模擬實驗進行分析,除了比較所提出的三個估計量之外,並與一維馬可夫鏈行為反應模式、一維馬可夫鏈時間行為反應模式和二維馬可夫鏈行為反應模式等,三個模式下發展出來的估計量進行比較。結果發現所提出的估計量在正確模式下,表現比傳統估計量好,但由於參數較多,有時有變異較大的狀況。
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