Abstract
For a real separable Hubert space H one gives estimates for the difference of two normal measures on certain subsets.
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Literature cited
V. V. Sazonov, Normal Approximation. Some Recent Advances, Lecture Notes in Math., No. 879, Springer, Berlin (1981).
N. Dunford and J. T. Schwartz, Linear Operators, Part II: Spectral Theory, Interscience, New York (1963).
A. Bikyalis (A. Bikalis), “On the central limit theorem in Rk,” Litov. Mat. Sb. (Liet. Mat. Rinkinys),11, No. 1, 27–58 (1971).
V. Bernotas, “On the sum of a random number of independent random variables with values in a Hubert space,” Litov. Mat. Sb. (Liet. Mat. Rinkinys),17, No. 3, 17–28 (1977).
Additional information
Translated from Veroyatnostnye Raspredeleniya i Matematicheskaya Statistika, pp. 48–60, 1986.
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Barsov, S.S., Ul'yanov, V.V. Difference of gaussian measures. J Math Sci 38, 2191–2198 (1987). https://doi.org/10.1007/BF01093820
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DOI: https://doi.org/10.1007/BF01093820