|
令{Xn :n ≧1}為一獨立相同分配之隨機變數序列.在這論文中,我們探討當分 配函數和核心函數在適當的一般條件下,核心分位估計量之近似性. 本研究的主要參考文獻有: Bahadur,R.R.(1966).A note on quantiles in large samples.Ann. Math.Statist. 37, 577-580 Billingsley,P.(1986).Convergence of Probability Measure. Wiley, New York. Falk, M.(1985). Asymptotic normality of the kernel quantile estimator. Ann . of Statist. 13, 428-433. Major, P.(1976). The approximation of partial sums of independent R.V.'s. Z. Wahrsch. Verw. Gebiete 35, 213-220. Serfling, R.J.(1980). Approximation theorem of Mathematical Statistics. Wiley, New York.
|