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References
Billingsley, P.: Convergence of Probability Measures. New York: Wiley 1968
Breiman, L.: Probability. Reading: Addison-Wesley 1968
Chung, K.L., Erdös, P., Sirao, T.: On the Lipschitz's Condition for Brownian motion. J. Math. Soc. Japan. 11, 263–274 (1959)
Hawkes, J.: A lower Lipschitz Condition for the Stable Subordinator. Z. Wahrscheinlichkeitstheorie verw. Gebiete 17, 23–32 (1971)
Ibragimov, I.A., Linnik, Yu. V.: Independent and stationary sequences of random variables. Groningen: Wolters-Noordhoff 1971
Kiefer, J.: On the Deviations in the Skorokhod-Strassen Approximation Scheme. Z. Wahrscheinlichkeitstheorie verw. Gebiete 13, 321–332 (1969)
Lipschutz, M.: On strong bounds for sums of independent random variables which tend to a stable distribution. Trans. Amer. Math. Soc. 81, 135–154 (1956)
Mijnheer, J.L.: A law of the iterated logarithm for the asymmetric stable law with characteristic exponent one. Ann. Math. Statist. 43, 358–362 (1972)
Skorohod, A.V.: Asymptotic formulas for stable distribution laws. Select. Transl. Math. Statist. Probab. 1, 157–161 (1961)
Spitzer, F.: Principles of Random Walk. Princeton: Van Nostrand 1964
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Mijnheer, J.L. Properties of the sample functions of the completely asymmetric stable process. Z. Wahrscheinlichkeitstheorie verw Gebiete 27, 153–170 (1973). https://doi.org/10.1007/BF00536626
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DOI: https://doi.org/10.1007/BF00536626