Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Breiman: On the tail behavior of sums of independent random variables, Z. Wahrscheinlichkeitstheorie verw. Geb. 9 (1967), 20–25.
Yu. A. Davydov: The invariance principle for stationary processes, Theory of Prob. and its Appl. 15 (1970), 487–498.
V. F. Gaposhkin: The law of the iterated logarithm for Cesaro's and Abel's methods of summation, Theory of Prob. and its Appl. 10 (1965), 411–420.
H. Oodaira: On Strassen's version of the law of the iterated logarithm for Gaussian processes, Z. Wahrscheinlichkeitstheorie verw. Geb. 21 (1972), 289–299.
H. Oodaira: The law of the iterated logarithm for Gaussian processes, (to appear).
H. Oodaira and K. Yoshihara: Note on the law of the iterated logarithm for stationary processes satisfying mixing conditions, Kodai Math. Sem. Rep. 23 (1971), 335–342.
V. Strassen: An invariance principle for the law of the iterated logarithm, z. Wahrscheinlichkeitstheorie verw. Geb. 3 (1964), 211–226.
V. Strassen: Almost sure behavior of sums of independent random variables and martingales, Proc. Fifth Berkeley Symp. Math. Stat. Prob. Vol. 2, Univ. of California Press, (1967), 315–343.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1973 Springer-Verlag
About this paper
Cite this paper
Oodaira, H. (1973). The log log law for certain dependent random sequences. In: Maruyama, G., Prokhorov, Y.V. (eds) Proceedings of the Second Japan-USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061501
Download citation
DOI: https://doi.org/10.1007/BFb0061501
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06358-2
Online ISBN: 978-3-540-46956-8
eBook Packages: Springer Book Archive