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研究生: 鄭又仁
Yu-Jen Cheng
論文名稱: 種類數之模擬與研究
A Simulation Study on the Estimation of Number of Classes
指導教授: 趙蓮菊
Anne Chao
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: 2001
畢業學年度: 89
語文別: 中文
論文頁數: 47
中文關鍵詞: 種類數估計
外文關鍵詞: Estimation of Number of Classes
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  • 本論文主要探討在母體總個體數已知之二項式模式與具有個體異質性之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。在二項式模式中,比較了Horvitz-Thompson估計量、摺刀法估計量、樣本涵蓋估計量。針對貝塔-二項式假設下的離散型模式,比較了摺刀法估計量、最大概似估計量、樣本涵蓋估計量、重複訊息估計量。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分析。


    目錄 第一章 緒論 1 第二章 二項式模式簡介、符號說明、共同假設 3 2.1 模式簡介…………………………………………………3 2.2 符號說明…………………………………………………4 2.3 共同假設…………………………………………………5 第三章 二項式模式的各種估計量 6 3.1 Horvitz--Thompson估計量………...…………………6 3.2 廣義摺刀法估計量………………………………………8 3.2.1 一階的估計量…………………………………………9 3.2.2 二階的估計量…………………..…………… 10 3.3 樣本涵蓋估計量……………………………………… 13 第四章 二項式模式之模擬研究及分析. 18 4.1 模擬條件……………………………………………… 18 4.2 模擬結果與討論……………………………………… 20 第五章 實例分析. 22 第六章 離散型Mh模式. 23 6.1 模式簡介……………………………………………… 23 6.2 符號說明……………………………………………… 23 6.3 基本假設條件………………………………………… 24 第七章 離散型模式的各種估計量 25 7.1 摺刀法估計量………………………………………… 25 7.2 最大概似估計量……………………………………….27 7.3 樣本涵蓋估計量………………………… ………….31 7.4 重複訊息估計量……………………………………….32 第八章 離散型模式之模擬研究及分析. 35 8.1 模擬條件……………………………………………….35 8.2 模擬結果與討論……………………………………… 37 第九章 實例分析. 38 參考文獻. 45

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