Literature cited
H. Schärf, “Über links-und rechtsseitige Stieltjes-integrale and deren Anwendungen,” Mitt. Verein. Schweiz.-Versicherungsmath.,43, 127–179 (1943).
W. Fieger, “Links-und rechtsseitige Stieltjes-Schärf-Unterteilungsintegrale,” Versicherungsmath, Bl. Dtsch. Ges.,9, No. 2, 181–194 (1969).
T. Hildebrandt, Introduction to the Theory of Integration, Academic Press, New York (1963).
J. Harkin, “Sklar-Stieltjes integrals,” Illinois J. Math.,16, No. 2, 196–202 (1972).
V. V. Anisimov, “Limit theorems for superposition of random processes,” Teor. Veroyatn. Mat. Statistika, No. 17, 6–22 (1977).
Yu. S. Mishura and D. S. Sil'vestrov, “A remark on the repeated weak limit of superposition of random functions,” Teor. Veroyatn. Mat. Statistika, No. 18, 101–105 (1978).
D. S. Sil'vestrov, Limit Theorems for Composite Random Functions [in Russian], Izd. Pri Kiev. Univ., Kiev (1974).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 340–347, May–June, 1980.
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Mishura, Y.S. Some limit theorems for Schärf-Stieltjes stochastic integrals. Ukr Math J 32, 225–231 (1980). https://doi.org/10.1007/BF01089757
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DOI: https://doi.org/10.1007/BF01089757