A coverage theory for least squares

作者:Care Algo; Garatti Simone*; Campi Marco C
来源:Journal of the Royal Statistical Society - Series B: Statistical Methodology , 2017, 79(5): 1367-1389.
DOI:10.1111/rssb.12221

摘要

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.

  • 出版日期2017-11