Shklyar, G. A. On a theorem of Lévy-Baxter type. (English. Russian original) Zbl 0633.60072 Theory Probab. Math. Stat. 34, 147-150 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 129-132 (1986). Sufficient conditions are given for the existence with probability one of the limit of the F-variation of a Gaussian random field. This result is connected with the paper of T. Kawada, Proc. Am. Math. Soc. 53, 463-469 (1975; Zbl 0359.60015). Some results and proofs of this paper are directly used and a misprint in the formulation of Kawada’s theorem is noted. Reviewer: A.N.Radchenko MSC: 60G60 Random fields 60G15 Gaussian processes 60F99 Limit theorems in probability theory Keywords:F-variation of a Gaussian random field Citations:Zbl 0359.60015 PDFBibTeX XMLCite \textit{G. A. Shklyar}, Theory Probab. Math. Stat. 34, 147--150 (1987; Zbl 0633.60072); translation from Teor. Veroyatn. Mat. Stat. 34, 129--132 (1986)