最小二乘法的覆盖理论

A Coverage Theory for Least Squares

Journal of the Royal Statistical Society. Series B: Statistical Methodology · 2016
被引 14
ABS 4

中文导读

本文为最小二乘估计提出覆盖理论,通过修改经验成本构造统计量,以已知概率覆盖总体中未见成员的成本,结果分布自由,适用于多领域的最小二乘问题。

Abstract

Summary A sensible use of an estimation method requires that assessment criteria for the quality of the estimate be available. We present a coverage theory for the least squares estimate. By suitably modifying the empirical costs, one constructs statistics that are guaranteed to cover with known probability the cost associated with a next, still unseen, member of the population. All results of this paper are distribution free and can be applied to least squares problems in use across a variety of fields.

统计学计量经济学数学优化工程学