本論文主要探討具有個體異質性之連續型與離散型
重複捕取實驗下，針對封閉母體模式估計母體種類

數。在珈瑪 - 卜瓦松假設下之連續型模式中，比較

樣本涵蓋估計量、重複訊息估計量、最大概似估計

量。針對貝塔 - 二項式假設下的離散型模式，比較

摺刀法估計量與最大概似估計量。文中分別介紹各

種估計量，並且以不同參數下的模擬方式分析各種

估計量的表現，最後並有文獻上的實例探討。

第一章 緒論 1

第二章 連續型模式簡介、符號說明、共同假設 2

2.1模式簡介………………………………………………………………2

2.2符號說明………………………………………………………………2

2.3共同假設………………………………………………………………3

第三章 連續型模式的各種估計量 4

3.1最大概似估計量與條件最大概似估計量……………………………4

3.2重複訊息估計量與樣本涵蓋估計量…………………………………9

第四章 連續型模式之模擬研究與分析 13

4.1 模擬條件……………………………………………………………13

4.2 模擬結果與討論……………………………………………………15

第五章 連續型模式之實例分析 18

第六章 離散型模式簡介、符號說明、共同假設 22

6.1 模式簡介……………………………………………………………22

6.2 符號簡介……………………………………………………………22

6.3 共同假設……………………………………………………………22

第七章 離散型模式的各種估計量 24

7.1 摺刀法估計量………………………………………………………24

7.2 最大概似估計量……………………………………………………25

第八章 離散型模式之模擬研究與分析 29

8.1 模擬條件……………………………………………………………29

8.2 模擬結果討論………………………………………………………29

第九章 實例分析 31

附錄 33

參考文獻 48

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