Yao, Qiwei; Yang, Wengyan; Tong, Howell - London School of Economics (LSE) - 2001
Often for a non-regular parametric hypothesis, a tractable test statistic involves a nuisance parameter. A common … practice is to replace the unknown nuisance parameter by its estimator. The validality of such a replacement can only be … under the null hypothesis is unchanged when the nuisance parameter is replaced by its estimator (Crowder M.J. 1990 …