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Der Anziehungsbereich von operator-stabilen Verteilungen im \(R_2\). (German) Zbl 0286.60015


MSC:

60F99 Limit theorems in probability theory
Full Text: DOI

References:

[1] Arnold, L.; Michaliček, J., Complex-Valued Stable Measures and Their Domains of Attraction, Trans. Amer. Math. Soc., 135, 143-158 (1969) · Zbl 0174.19102
[2] Billingsley, P., Convergence of Types in K-Spaces, Z. Wahrscheinlichkeitstheorie verw. Geb., 5, 175-179 (1966) · Zbl 0152.17102
[3] Gnedenko, B. W.; Kolmogoroff, A. N., Limit Distributions for Sums of Independent Random Variables (1968), Cambridge: Addison Wesley, Cambridge
[4] Karamata, J., Sur un mode de croissance régulière des fonctions, Mathematica, 4, 38-53 (1930) · JFM 56.0907.01
[5] Lucacs, E., Characteristic Functions (1960), London: Charles Griffin, London · Zbl 0087.33605
[6] Michaliček, J., Die Randverteilung der operator-stabilen Ma\e im 2-dimensionalen Raum, Z. Wahrscheinlichkeitstheorie verw. Geb., 21, 135-146 (1972) · Zbl 0214.17801
[7] Rvaceva, E. L., On Domains of Attraction of Multidimensional Distributions, Select. Trans. Math. Statist. Probab., 2, 183-205 (1962) · Zbl 0208.44401
[8] Sharpe, M., Operator-Stable Probability Distributions on Vector Spaces, Trans. Amer. Math. Soc., 136, 51-65 (1969) · Zbl 0192.53603
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