数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (2): 192-208.
秦更生, 蔡雷
Qin Gengsheng, Cai Lei
摘要: Consider tile partial linear model Y=Xβ+ g(T) + e. Where Y is at risk of being censored from the right, g is an unknown smoothing function on[0,1], β is a 1-dimensional parameter to be estimated and e is an unobserved error. In Ref[1,2], it wes proved that the estimator Σn* ≡(θn*)-2 En*(Σn*≡(θn*)-2Ên*) for the asymptotic variance of βn*(βn*) is consistent. In this paper, we establish the limit distribution and the law of the iterated logarithm for En*, and obtain the convergest rates for En* and the strong uniform convergent rates for ĝn*(gn*).