An alternative form of the Watson efficiency

作者：Yang Hu; Wang Litong^*

来源：Journal of Statistical Planning and Inference, 2009, 139(8): 2767-2774.

DOI：10.1016/j.jspi.2009.01.002

• Euclidean norm
• Least squares
• Linear regression model
• Watson efficiency

Watson [1951. Serial correlation in regression analysis. Ph.D. Thesis, Department of Experimental Statistics, North Carolina State College, Raleigh] introduced a relative efficiency, which is often called the Watson efficiency in literatures, to measure the inefficiency of the least squares in linear regression models, The Watson efficiency is defined by determinant, but we shall show by two examples that such a criterion does not always work well in some cases. In this paper, an alternative form based on Euclidean norm of the Watson efficiency is proposed and some examples are given to illustrate Superiority of the new relative efficiency.

• 出版日期2009-8-1
• 单位重庆大学