@techreport{oai:grips.repo.nii.ac.jp:00001122, author = {IKEDA, Shin S.}, note = {https://www.grips.ac.jp/list/jp/facultyinfo/ikeda_shinsuke/, The logical gap in the proof of non-stationary mixingale invariance principle by McLeish (1977) is identified and fixed by a skipped sub-sampling of a partial sum process in the continuous time. The corrected proof also delivers some extensions of the previous invariance principle and several stronger versions of convergence in law., 経済学 / Economics}, title = {A Note on the Mixingale Limit Theorem by McLeish (1977)} }