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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/94011


    Title: 直線穿越抽樣法有乘法性測量誤差時之近似估計方法
    Other Titles: Approximate estimations in the line transect model when the covariate is subject to multiplicative measurement error
    Authors: 張閔迪;Zhang, Min-Di
    Contributors: 淡江大學數學學系碩士班
    黃逸輝
    Keywords: 測量誤差;直線穿越抽樣法;乘法性測量誤差;泰勒展開式;模擬外推法;迴歸校正;distance sampling;line transect;multiplicative measurement errors;SIMEX
    Date: 2013
    Issue Date: 2014-01-23 13:47:31 (UTC+8)
    Abstract: 在生態學中,調查對象的密度或總數是相當重要的參數,而距離抽樣則是方便且常採用
    的抽樣方法,本文討論的距離抽樣是直線穿越抽樣法,並且是觀測距離無法精準量測而有測量誤差時的統計分析問題。在直線穿越抽樣法有乘法性測量誤差時,本文將乘法性測量誤差模型作自然對數轉換,使轉換後的模型為相加性測量誤差模型,並比較相加性測量誤差時常見的修正方法:迴歸校正(regression calibration)、泰勒(Taylor)展開式及模擬外推法(simulation extrapolation)等的電腦模擬表現。
    In ecology, the density or the total number of residents are very important parameters. To estimate these parameters, the distance sampling is a convenient and often used sampling methods. We discussed this sampling method in line transect experiment when covariates are subject to multiplicative measurement errors. We evaluate the performances of methods of regression calibration, Taylor approximation and simulation extrapolation by simulation
    studies.
    Appears in Collections:[數學學系暨研究所] 學位論文

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