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References
Dudley, R.M., Hoffmann-Jorgensen, J., Shepp, L.A. (1979) On the lower tail of Gaussian seminorms, Ann.Probab.7, 319–342.
Erickson, K.B. (1980) Rates of escape of infinite dimensional Brownian motion. Ann.Probab.8, 2, 325–338.
Ibragimov, I.A. (1979) On probability of hitting a small ball by Gaussian vector with values in Hilbert space, Zap. Nauč. semin. LOMI, 85, 75–93 (Russian).
Kuelbs, J., Kurtz, T. (1974) Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm, Ann.Probab. 2, 3, 387–407.
Paulauskas, V. (1975) On the closeness of distributions of sums of independent random variables with values in Hilbert space, Liet. matem. rink. 15, 3, 177–200 (in Russian, English translation in Lithuanian Math.J.).
Paulauskas, V. (1976) The estimate of the rate of convergence in the central limit theorem in C(S), Liet. matem. rink. 16, 4, 168–201 (in Russian, English translation in Lith. Math. J.).
Paulauskas, V. (1976) On the rate of convergence in the central limit theorem in some Banach spaces, Teor. verojat. i primen. 21, 4, 775–791 (in Russian).
Paulauskas, V. (1978) letter to editors, Teor. verojat. i primen. 23, 2, 477.
Račkauskas, A., Bentkus, V. (1982) Closeness of sums of independent random variables in Banach spaces, Liet. matem. r ink. 22, 3 (in Russian).
Tsirelson, B.S. (1976) The density of the distribution of the maximum of a Gaussian process, Teor. verojat. i primen. 20, 4, 865–873.
Vakhanija, N.N. (1971) Probability distributions on linear spaces. Tbilisi.
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© 1983 Springer-Verlag
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Paulauskas, V. (1983). On the density of the norm of gaussian vector in banach spaces. In: Beck, A., Jacobs, K. (eds) Probability in Banach Spaces IV. Lecture Notes in Mathematics, vol 990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064271
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DOI: https://doi.org/10.1007/BFb0064271
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