Limiting distributions for $L\sb 1$ regression estimators under general conditions

Limiting distributions for $L\sb 1$ regression estimators under general conditions
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DOI:
10.1214/aos/1028144858
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发表时间:
1998-04
影响因子:
4.5
通讯作者:
K. Knight
K. Knight
中科院分区:
数学1区
文献类型:
--
作者:
K. Knight

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众所周知,如果分布函数在0点的导数为正,回归参数的L1估计量是渐近正态的。在本文中,我们在分布函数在0点附近的行为满足更一般的条件下推导渐近分布。
It is well known that L 1 -estimators of regression parameters are asymptotically normal if the distribution function has a positive derivative at 0. In this paper, we derive the asymptotic distributions under more general conditions on the behavior of the distribution function near 0.