簡易檢索 / 詳目顯示
| 研究生： |
張丁中 Ding-zhong Zhang |
|---|---|
| 論文名稱： |
機率密度函數之核估計的中位數 The Kernel Estimator of The Median |
| 指導教授： |
許玉生
Yu-Sheng Hsu |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 畢業學年度： | 99 |
| 語文別： | 中文 |
| 論文頁數： | 29 |
| 中文關鍵詞： | 機率密度函數之核估計的中位數 |
| 外文關鍵詞： | The Kernel Estimator of The Median |
| 相關次數： | 點閱：9 下載：0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
機率密度函數(probability density function)之核估計式(kernel estimator)為一機率密度函數且當樣本大時,其l階動差(lth moment)
之近似值為l階樣本動差(sample lth moment).本文研究機率密度函數之核估計式的中位數,即中位數之核估計式。
Let f and ^ f denote a probability density function and its kernel estimator respectively. It is known that the lth moment of ^ f is close to the lth moment of f when sample size is large. In this paper, we show that the median of ^ f is close to the median of f when sample
size is large.
[1] 施裕明(1998). 核估計式在估計機率密度函數及動差之表現。輔仁大學數學研究所碩士論文。
[2] Marsden,J.E. and Hoffman,M.J.(1993). Elementary Classical Analysis.W.H. Freeman and Company.
[3] Prakasa Rao,B.L.S.(1983). Nonparametric Functional Estimation. Academic Press.
[4] Silverman,B.W.(1986). Density Estimation for Statistics and Date Analysis. Chapman and Hall.
[5] Tapia,R.A. and Thompson,J.R.(1977). Nonparametric Probability Density Estimation. Johns Hopkins University Press.
[6] Saff,E.B. and Snider,A.D.(1976). Fundamentals of complex analysis for mathematics science and engineering. Prentice Hall.
