journal article
Jan 01, 1976
Moment inequalities and the strong laws of large numbers
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete
Vol. 35
No. 4
pp. 299-314
·
Springer Science and Business Media LLC
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References
15
[1]
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[2]
Doob, J.L.: Stochastic Processes. New York: Wiley 1953
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[4]
Gapo?kin, V.F.: Lacunary series and independent functions. (Russian) Uspehi Mat. Nauk 21, 3?82 (1966)
[5]
Hsu, P.L., Robbins, H.: Complete convergence and the law of large numbers. Proc. Nat. Acad. Sci. USA 33, 25?31 (1947)
10.1073/pnas.33.2.25
[6]
Lamperti, J.: Probability. New York: Benjamin 1966
[7]
Móricz, F.: The generalization of some classical inequalities in the theory of orthogonal series. (Russian) Mat. Zametki 17, 219?230 (1975)
[8]
Móricz, F.: On the convergence properties of weakly multiplicative systems. Acta Sci. Math. (Szeged) (to appear)
[9]
Móricz, F.: The law of the iterated logarithm and related results for weakly multiplicative systems. Analysis Math. (to appear)
10.1007/bf01919065
[10]
Révész, P.: The Laws of Large Numbers. New York: Academic Press 1968
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Serfling, R.J.: Probability inequalities and convergence properties for sums of multiplicative random variables. Technical Report, Florida State University (1969)
[12]
Serfling, R.J.: Moment inequalities for the maximum cumulative sum. Ann. Math. Statist. 41, 1227?1234 (1970)
10.1214/aoms/1177696898
[13]
Serfling, R.J.: Convergence properties of S nunder moment restrictions. Ann. Math. Statist. 41, 1235?1248 (1970)
10.1214/aoms/1177696899
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Tjurnpü, H.: On the generalization of a theorem of S.B. Ste?kin. (Russian) Acta Sci. Math. (Szeged) 36, 369?374 (1974)
[15]
Zygmund, A.: Trigonometric Series, Vol. II. Cambridge: University Press 1959
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- Published
- Jan 01, 1976
- Vol/Issue
- 35(4)
- Pages
- 299-314
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Cite This Article
F. M�ricz (1976). Moment inequalities and the strong laws of large numbers. Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 35(4), 299-314. https://doi.org/10.1007/bf00532956
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