journal article Jan 01, 1976

Moment inequalities and the strong laws of large numbers

View at Publisher Save 10.1007/bf00532956
Topics

No keywords indexed for this article. Browse by subject →

References
15
[1]
Billingsley, P.: Convergence of Probabilty Measures. New York: Wiley 1968
[2]
Doob, J.L.: Stochastic Processes. New York: Wiley 1953
[3]
Erdös, P.: On the convergence of trigonometric series. J. Math. and Phys. Massachusetts Institute of Technology 22, 37?39 (1943)
[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
[11]
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
[14]
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
Metrics
116
Citations
15
References
Details
Published
Jan 01, 1976
Vol/Issue
35(4)
Pages
299-314
License
View
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
Related

You May Also Like

On the histogram as a density estimator:L 2 theory

David Freedman, Persi Diaconis · 1981

1,086 citations

On the optimal filtering of diffusion processes

Moshe Zakai · 1969

541 citations

�ber die konvexe H�lle von n zuf�llig gew�hlten Punkten

A. R�nyi, R. Sulanke · 1963

286 citations

On U-statistics and v. mise? statistics for weakly dependent processes

Manfred Denker, Gerhard Keller · 1983

176 citations