Sirao, Tunekiti; Watanabe, Hisao On the upper and lower class for stationary Gaussian processes. (English) Zbl 0273.60024 Trans. Am. Math. Soc. 147, 301-331 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 Documents MSC: 60G15 Gaussian processes 60G17 Sample path properties 60G10 Stationary stochastic processes PDFBibTeX XMLCite \textit{T. Sirao} and \textit{H. Watanabe}, Trans. Am. Math. Soc. 147, 301--331 (1970; Zbl 0273.60024) Full Text: DOI References: [1] Yu. K. Belyaev, Continuity and Hölder’s conditions for sample functions of stationary Gaussian processes, Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, pp. 23 – 33. [2] K. L. Chung and P. Erdös, On the application of the Borel-Cantelli lemma, Trans. Amer. Math. Soc. 72 (1952), 179 – 186. · Zbl 0046.35203 [3] K. L. Chung, P. Erdős, and T. Sirao, On the Lipschitz’s condition for Brownian motion, J. Math. Soc. Japan 11 (1959), 263 – 274. · Zbl 0091.13301 [4] Xavier Fernique, Continuité des processus Gaussiens, C. R. Acad. Sci. Paris 258 (1964), 6058 – 6060 (French). · Zbl 0129.30101 [5] G. A. Hunt, Random Fourier transforms, Trans. Amer. Math. Soc. 71 (1951), 38 – 69. · Zbl 0043.30601 [6] Michel Loève, Probability theory, 2nd ed. The University Series in Higher Mathematics. D. Van Nostrand Co., Inc., Princeton, N. J.-Toronto-New York-London, 1960. · Zbl 0095.12201 [7] Tunekiti Sirao, On the continuity of Brownian motion with a multidimensional parameter., Nagoya Math. J. 16 (1960), 135 – 156. · Zbl 0091.13302 [8] Tunekiti Sirao and Hisao Watanabe, On the Hölder continuity of stationary Gaussian processes, Proc. Japan Acad. 44 (1968), 482 – 484. · Zbl 0249.60019 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.