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An approximation of partial sums of independent RV’s, and the sample DF. I. (English) Zbl 0308.60029

MSC:
60G50 Sums of independent random variables; random walks
62D05 Sampling theory, sample surveys
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[1] Bártfai, P.: Die Bestimmung der zu einem wiederkehrenden Proze\(\backslash\) gehörenden Verteilungsfunktion aus den mit Fehlern behafteten Daten einer einzigen Realisation. Studia Sci. Math. Hungar. 1, 161-168 (1966) · Zbl 0156.39102
[2] Bártfai, P.: über die Entfernung der Irrfahrtswege. Studia Sci. Math. Hungar. 5, 41-49 (1970) · Zbl 0274.60048
[3] Breiman, L.: Probability. Reading, Mass: Addison-Wesley, 1968 · Zbl 0174.48801
[4] Brillinger, D. R.: An asymptotic representation of the sample df. Bull. Amer. Math. Soc. 75, 545-547 (1969) · Zbl 0206.20602 · doi:10.1090/S0002-9904-1969-12237-8
[5] Csörg?, M., Révész, P.: A new method to prove Strassen type laws of Invariance Principle I.-II. Z. Wahrscheinlichkeitstheorie verw. Geb. 31, 255-259 and 261-269 (1975) · Zbl 0283.60023 · doi:10.1007/BF00532865
[6] Erd?s, P., Rényi, A.: On a new law of large numbers. J. Analyse Math. 23, 103-111 (1970) · Zbl 0225.60015 · doi:10.1007/BF02795493
[7] Kiefer, J.: On the deviations in the Skorohod-Strassen approximation scheme. Z. Wahrscheinlichkeitstheorie verw. Geb. 13, 321-332 (1969) · Zbl 0176.48201 · doi:10.1007/BF00539208
[8] Kiefer, J.: Skorohod embedding of multivariate RV’s, and the sample DF. Z. Wahrscheinlichkeitstheorie verw. Geb. 24, 1-35 (1972) · Zbl 0267.60034 · doi:10.1007/BF00532460
[9] Petrov, V.V.: On large deviations of sums of random variables. (Russian) Vestnik Leningrad. Univ. 16, 25-37 (1961)
[10] Petrov, V. V.: On sums of independent random variables. (Russian) Moscow, Nauka. 1972
[11] Richter, W.: Local limit theorems for large deviations (Russian) Teor. Verojatnost. i Primenen 2, 214-229(1957)
[12] Sawyer, S.: Rates of convergence for some functionals in probability. Ann. Math. Statist. 43, 273-284(1972) · Zbl 0239.60024 · doi:10.1214/aoms/1177692720
[13] Skorohod, A.V.: Studies in the theory of random processes. Reading, Mass: Addison-Wesley 1965
[14] Strassen, V.: Almost sure behaviour of sums of independent random variables and martingales. Proc. 5th Berkeley Sympos. Math. Statist. Probab. (1965), Vol. II (part 1), 315-343. Berkeley: Univ. of Calif. Press 1967
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