【摘要】 本文研究随机删失概率密度估计的光滑bootstrap逼近．给出了光滑bootstrap逼近成立的充分条件，并证明了概率密度的光滑bootstrap估计方差几乎处处收敛到概率密度核估计的渐近方差．更多还原

【Abstract】 This paper investigates the smoothed bootstrap approximation for the kernel estimator fn(t) of probability density. The sufficient conditions for the smoothed bootstrap approximation to be valid is established. Moreover, it is shown that the variance of the smoothed bootstrap estimator f(t) converges to the asympototic variance of fn(t) almost surely.更多还原