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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/32923


    Title: 線上穿越模式中有乘法性測量誤差時之分析
    Other Titles: Multiplicative measurement errors in line transect model
    Authors: 許玉華;Shu, Yu-hwa
    Contributors: 淡江大學數學學系碩士班
    黃逸輝;Huang, Yih-huei
    Keywords: 線上穿越模式;加法測量誤差;乘法測量誤差;無母數機率密度估計法;Line transect model;Additive measurement error;Multiplicative measurement error;Nonparametric density estimation.
    Date: 2007
    Issue Date: 2010-01-11 02:58:42 (UTC+8)
    Abstract: 在生態統計學中,野生動物數量的估計是一件困難的工作,因為資料的搜集需要耗費大量的金額與時間,
    而且資料分析往往受限於嚴謹的假設,故統計分析方法是否適當更顯重要。假設吾人對某區域內的動物總數N或動物密度D有興趣時,
    線上穿越法為目前常使用的方法之一,因為其資料蒐集快速,研究範圍廣泛;然而在蒐集資料時,
    常會出現資料無法精準取得。在統計研究中,不精準的資料使得分析存在有不可忽視的測量誤差問題,
    本文採用Chen(1998)所提出的探測函數建構研究模型,並採用Hwang(1986)的乘法測量誤差模式,
    發展利用動差法以及使用無母數機率密度函數的估計方法,
    另外對於陳(2006)所考慮的加法測量誤差,並提出小測量誤差的近似估計方法。
    In ecology research, estimating wildlife abundance
    is usually a difficult work. It may be expensive and time
    consuming to collect enough data for analysing. Besides collecting
    the data, the appropriateness of the analysis depends on whether
    the model assumption is plausible or not. The line transect
    approach had been considered as a convenient approach with minor
    assumptions and it requires relatively less effort in collecting
    data. In the present paper , we investigate the effects of
    additive measurement error and multiplicative measurement error on
    estimating the abundance in a line transect model , respectively .
    We propose estimators that correct biases using method of moments
    and nonparametric density estimation. The simulation result shows
    that these estimators work fine in reducing the biases when
    measurement error is present.
    Key words :Line
    transect model; Additive measurement error; Multiplicative
    measurement error ; Nonparametric density estimation.
    Appears in Collections:[數學學系暨研究所] 學位論文

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