機率密度函數之核估計的中位數; The Kernel Estimator of The Median

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/48292

Title:	機率密度函數之核估計的中位數;The Kernel Estimator of The Median
Authors:	張丁中;Ding-zhong Zhang
Contributors:	數學研究所
Keywords:	機率密度函數之核估計的中位數;The Kernel Estimator of The Median
Date:	2011-07-15
Issue Date:	2012-01-05 14:44:16 (UTC+8)
Abstract:	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.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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