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Komlós, J.; Major, Peter; Tusnády, Gábor

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

Z. Wahrscheinlichkeitstheor. Verw. Geb. 32, 111-131 (1975).
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Cited in 46 Reviews
Cited in 423 Documents

MSC:

60G50 Sums of independent random variables; random walks
62D05 Sampling theory, sample surveys
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\textit{J. Komlós} et al., Z. Wahrscheinlichkeitstheor. Verw. Geb. 32, 111--131 (1975; Zbl 0308.60029)
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References:

[1] Bártfai, P., Die Bestimmung der zu einem wiederkehrenden Proze 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 (1968), Reading, Mass: Addison-Wesley, Reading, Mass · 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
[5] CsörgŐ, M.; Révész, P., A new method to prove Strassen type laws of Invariance Principle I.-II, Z. Wahrscheinlichkeitstheorie verw. Geb., 31, 255-259 (1975) · Zbl 0283.60023
[6] ErdŐs, P.; Rényi, A., On a new law of large numbers, J. Analyse Math., 23, 103-111 (1970) · Zbl 0225.60015
[7] Kiefer, J., On the deviations in the Skorohod-Strassen approximation scheme, Z. Wahrscheinlichkeitstheorie verw. Geb., 13, 321-332 (1969) · Zbl 0176.48201
[8] Kiefer, J., Skorohod embedding of multivariate RV’s, and the sample DF, Z. Wahrscheinlichkeitstheorie verw. Geb., 24, 1-35 (1972) · Zbl 0267.60034
[9] Petrov, V. V., On large deviations of sums of random variables, Vestnik Leningrad. Univ., 16, 25-37 (1961) · Zbl 0118.13601
[10] Petrov, V. V., On sums of independent random variables (1972), Moscow: Nauka, Moscow · Zbl 0288.60050
[11] Richter, W., Local limit theorems for large deviations (Russian) Teor, Verojatnost. i Primenen, 2, 214-229 (1957) · Zbl 0080.34302
[12] Sawyer, S., Rates of convergence for some functionals in probability, Ann. Math. Statist., 43, 273-284 (1972) · Zbl 0239.60024
[13] Skorohod, A. V., Studies in the theory of random processes (1965), Reading, Mass: Addison-Wesley, Reading, Mass
[14] Strassen, V., Almost sure behaviour of sums of independent random variables and martingales, Proc. 5th Berkeley Sympos. Math. Statist. Probab. (1965), Vol. II, 315-343 (1967), Berkeley: Univ. of Calif. Press, Berkeley · Zbl 0201.49903
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