系統識別號 | U0002-1607200915120200 |
---|---|
DOI | 10.6846/TKU.2009.00564 |
論文名稱(中文) | 對數線性混合效用測量誤差模型之ㄧ致性估計 |
論文名稱(英文) | A Consistent Estimation in Log-Linear Mixed Measurement Error Models |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 數學學系碩士班 |
系所名稱(英文) | Department of Mathematics |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 97 |
學期 | 2 |
出版年 | 98 |
研究生(中文) | 張瑞君 |
研究生(英文) | Jui-Chun Chang |
學號 | 696190387 |
學位類別 | 碩士 |
語言別 | 英文 |
第二語言別 | |
口試日期 | 2009-06-24 |
論文頁數 | 22頁 |
口試委員 |
指導教授
-
黃逸輝
委員 - 黃文瀚 委員 - 溫啓仲 |
關鍵字(中) |
改正分數 對數線性模型 測量誤差 混合效用 準變異數函數 |
關鍵字(英) |
Corrected score Log-linear model Measurement errors Mixed effects Quasi-variance function |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
將隨機效用引進迴歸模型裡,反應變數之間就會具有相關性。因此當模型包括隨機效用時,也就是所謂的混合模型,便可以用來模式化具有相關性反應變數的資料。在大多數的混合模型裡,以概似函數為基礎的推論通常是可行的,然而當迴歸模型裡有任何共變數受限於測量誤差時,統計推論的工作就會變得困難,因為在大部分的測量誤差問題裡概似函數是無界的也通常是不可行的,尤其是在自變數是未知參數的時候。因此至今只有少數的文獻討論處理有測量誤差的混合模型。就作者所知,在對數線性混合效用模型且自變數受限於測量誤差時,目前尚未有人提出一個具有一致性的估計方法。在本篇論文裡,我們將利用準變異數函數與校正分數的概念,在傳統加法性的測量誤差假設下,提出一種具有一致性的估計方法,而我們的模擬研究也顯示這個估計函數的表現是不錯的。 |
英文摘要 |
By introducing the random effect into a regression model, the correlation between responses raises consequently. Thus when a model includes random effects, which is called a mixed model, can be suitable for modeling correlated responses. In most mixed models, the likelihood-based inferences are usually applicable. However, when any covariate in the regression model are subject to measurement error, the statistical inference becomes difficult for the reason that the likelihood approach is not feasible in most measurement error problems, especially for the functional cases. For this difficulty, there are only few literatures dealing with the mixed model with measurement error nowadays. Furthermore, to the best knowledge of the author, there is no consistent estimation for the log-linear mixed effect model when measurement error presents. In this thesis, inspired by the quasi-variance function and the corrected score, we construct estimating function for log-linear mixed model with classical additive measurement error. It is shown that the estimation is consistent and our simulation study indicates that the proposed estimating function works satisfactory. |
第三語言摘要 | |
論文目次 |
Contents 1 Introduction 1 2 The Model And Regression Calibration Approach 2 3 The Weighted and Corrected Score Function 5 3.1 When There Are Replicates 7 4 Simulation 8 5 Discussion 19 Appendix 20 References 22 Table of contents Table 1 10 Table 2 10 Table 3 11 Table 4 11 Table 5 12 Table 6 12 Table 7 13 Table 8 13 Table 9 14 Table 10 14 Table 11 15 Table 12 15 Table 13 16 Table 14 16 Table 15 17 Table 16 17 |
參考文獻 |
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