Probability in Banach Spaces IV pp 178-197 | Cite as
On the density of the norm of gaussian vector in banach spaces
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Keywords
Banach Space Brownian Motion Gaussian Measure Small Ball Separable Banach Space
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References
- 1.Dudley, R.M., Hoffmann-Jorgensen, J., Shepp, L.A. (1979) On the lower tail of Gaussian seminorms, Ann.Probab.7, 319–342.MathSciNetCrossRefMATHGoogle Scholar
- 2.Erickson, K.B. (1980) Rates of escape of infinite dimensional Brownian motion. Ann.Probab.8, 2, 325–338.MathSciNetCrossRefMATHGoogle Scholar
- 3.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).MATHGoogle Scholar
- 4.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.MathSciNetCrossRefMATHGoogle Scholar
- 5.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.).MathSciNetMATHGoogle Scholar
- 6.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.).MathSciNetMATHGoogle Scholar
- 7.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).MathSciNetGoogle Scholar
- 8.Paulauskas, V. (1978) letter to editors, Teor. verojat. i primen. 23, 2, 477.MathSciNetGoogle Scholar
- 9.Račkauskas, A., Bentkus, V. (1982) Closeness of sums of independent random variables in Banach spaces, Liet. matem. r ink. 22, 3 (in Russian).Google Scholar
- 10.Tsirelson, B.S. (1976) The density of the distribution of the maximum of a Gaussian process, Teor. verojat. i primen. 20, 4, 865–873.MathSciNetGoogle Scholar
- 11.Vakhanija, N.N. (1971) Probability distributions on linear spaces. Tbilisi.Google Scholar
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© Springer-Verlag 1983