Leonenko, N. N. On the invariance principle for estimators of linear regression coefficients of a random field. (English. Russian original) Zbl 0469.60009 Theory Probab. Math. Stat. 23, 87-96 (1981); translation from Teor. Veroyatn. Mat. Stat. 23, 80-91 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 60B10 Convergence of probability measures 60F17 Functional limit theorems; invariance principles 60G60 Random fields 62J05 Linear regression; mixed models 60F05 Central limit and other weak theorems Keywords:least square estimators for linear regression coefficients; convergence of distributions of functionals; Gaussian field; mixing properties PDFBibTeX XMLCite \textit{N. N. Leonenko}, Theory Probab. Math. Stat. 23, 87--96 (1980; Zbl 0469.60009); translation from Teor. Veroyatn. Mat. Stat. 23, 80--91 (1980)