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References
Lévy, P. Calcul des Probabilités Gauthier-Villars 1925.
Khinchine, M. Mitt d. Inst. f. Math u. Mech. de Univ. Tomsk 1 (1937) 258–261.
Lévy, P. Theorie de l'addition des variables aléatoires, Gauthier-Villars 1937.
Doeblin, W. Sur ensembles de puissance d'une lois de probabilite, Studia Math (1940)
Loeve, M. Probability theory 3rd Edition. New York 1963
Jajte, R.: On stable distributions in Hilbert space. Studia Math 30 (1964) 63–71.
Feller, W. An introduction to Probability theory and it's applications., Vol.2 John Wiley, 1970.
Parthasarthy, K.R. Probability measures on metric spaces, Academic Press, N.Y., 1967.
LeCam, L., Remarques sur le theoreme limit central dans les espaces localement convexes, CNRS, Paris (1970) 233–249.
Kumar, A. and Mandrekar, V., Stable probability measures on Banach spaces. Studia Math. 42 (1972) 133–144.
Kuelbs, J. A representation theorem for symmetric stable processes and stable measures on H. Z.W. 26 (1973).
Kuelbs, J. and Mandrekar, V. Domains of attraction of stable measures on Hilbert space. Studia Math. 50 (1974) 150–162.
Hoffman-Jørgensen, J., and Pisier, G. The laws of large numbers and central limit theorem in Banach spaces. Ann. Prob. 4 (1976) 587–599.
Jain, N. Central limit theorem and related questions in Banach spaces. Proc. Symposia in Pure Math. XXXI Amer. Math. Soc. Providence, R.I. (1977) 55–65.
Araujo, A. and Giné, E. On tails and domains of attraction of stable measures in Banach spaces. Trans. Amer. Math. Soc. 248 (1979) 105–119.
Marcus, M. and Woyczynski, W. Stable measures and central limit theorem in spaces of stable type. Trans Amer. Math. Soc. 248 (1979).
____, A necessary condition for the Central Limit Theorem in spaces of stable type. Lecture Notes 644, Springer-Verlag 1978.
Mandrekar, V. and Zinn, J. Central limit problem for symmetric case; convergence to non-Gaussian laws. Studia Math 67 (1979) 65–82.
Giné, E. Domains of attraction in Banach spaces, Seminaire de Probabilite XIII Lecture notes 721 Springer-Verlag (1979).
Araujo, A., Giné, E., Mandrekar, and Zinn, J. On the accompanying laws theorem in Banach spaces. Ann. Probability (To appear)
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Mandrekar, V. (1981). Domain of attraction problem on Banach spaces: A survey. In: Beck, A. (eds) Probability in Banach Spaces III. Lecture Notes in Mathematics, vol 860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090623
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DOI: https://doi.org/10.1007/BFb0090623
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