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.
