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 |
相關次數: | 點閱:3 下載:0 |
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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。
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