淡江大學機構典藏:Item 987654321/32917
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 64178/96951 (66%)
造访人次 : 9385147      在线人数 : 461
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
搜寻范围 查询小技巧：
  • 您可在西文检索词汇前后加上"双引号"，以获取较精准的检索结果
  • 若欲以作者姓名搜寻，建议至进阶搜寻限定作者字段，可获得较完整数据
    •  进阶搜寻


    jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/32917


    题名: 具有異質性測量誤差的重複捕取實驗之估計
    其它题名: Estimations in capture-recapture experiments with heterogeneous measurement errors
    作者: 籃揚凱;Lan, Yang-kai
    贡献者: 淡江大學數學學系碩士班
    黃逸輝;Huang, Yih-huei
    关键词: 異質性;測量誤差;無母數迴歸;heterogeneous;measurement error;nonparametric regression
    日期: 2006
    上传时间: 2010-01-11 02:58:22 (UTC+8)
    摘要: 在本文中,我們探討離散型重複捕取實驗的自變數有異質性測量誤差的估計方法。在重複捕取實驗中至少有兩種情況應考慮異質性測量誤差。一個是測量誤差大小可能與真實自變數大小有關;另一個是個體被重複測量的次數會因捕取次數不同而造成測量誤差大小不同。
    因此異質性誤差的假設,相較於大部分文獻所採用的同質性誤差的假設,顯得實際得多。我們使用無母數迴歸來估計測量誤差的變異數,並在小測量誤差的假設下,以泰勒展開式近似原始的分數函數,以及母體總數的估計量,除此之外不需其他太多假設。當測量誤差的變異數趨近於0時,我們的估計方法會趨近於使用原始條件概似函數的估計方法,由於我們的修正方法相當有彈性,可以很容易地修改並應用於其他的重複捕取模型。最後,我們利用電腦模擬評估我們所提議的估計方法。
    In this paper, we consider the estimation of discrete time capture-recapture model when covariate is subject to heterogeneous measurement error. There are two reasons for considering heterogeneous error in the capture-recapture experiments. One reason is for the possibility that the magnitude of the measurement error may depend on the true covariate, and the other reason is for the numbers of replicate measurements in each individual can be very different. Thus, a heterogeneous error assumption is more practical than the homogeneous error assumption which was adopted by most literatures. We used a nonparametric regression to estimate the variance of measurement error,
    and used Taylor polynomial to estimate the original score function and population size estimator under small measurement error assumption. There are not much assumptions required to implement the proposed method.
    Our estimation will reduce to the conditional likelihood approaches when the error''s variance approaches 0, and is easy to modify at least in theory to accommodate many kinds of heterogeneous error or capture-recapture models.Some simulation studies were conducted to assess the performances of the proposed estimation.
    显示于类别:[應用數學與數據科學學系] 學位論文

    文件中的档案:

    档案 大小格式浏览次数
    0KbUnknown291检视/开启

    在機構典藏中所有的数据项都受到原著作权保护.

    TAIR相关文章

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - 回馈