删失情形下污染分布的近邻估计

NEAREST NEIGHBOR ESTIMATION OF CONTAMINATED DISTRIBUTION UNDER THE RANDOM CENSORSHIP

本文研究了删失情形下污染分布中的污染系数和未知原分布的近邻估计,并且分别在删失分布已知和未知时证明了估计的一致弱相合性,最后给出了污染系数的模拟结果。

This paper studies nearest neighbor（N.N.） estimation of contaminating coefficient and original density in the truncated contaminated distribution ,and prove its uniformly weak convergency when the truncated distribution is kowned and unkown. Finally we make the simulation about the estimation of contaminating coefficient.