On the strong (C, α) laws of large numbers

Yoshimoto Takeshi: On the strong (C, α) laws of large numbers. In: Acta scientiarum mathematicarum, (87) 3-4. pp. 679-707. (2021)

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Abstract

We give a necessary and sufficient condition for the strong (C, α) law of large numbers with real order α > 0 for weighted sums of independent random variables satisfying the property α-WH analogous to, though weaker than, the Hartman’s type property. In particular, if a sequence of random variables is two-sided, then the strong (C, α) law of large numbers for the sequence can also be characterized by the ergodic Hilbert transform.

Item Type:	Article
Heading title:	Probability theory
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2021
Volume:	87
Number:	3-4
ISSN:	2064-8316
Page Range:	pp. 679-707
Language:	English
Place of Publication:	Szeged
Related URLs:	http://acta.bibl.u-szeged.hu/75796/
DOI:	10.14232/actasm-021-271-y
Uncontrolled Keywords:	Valószínűségszámítás, Matematika
Additional Information:	Bibliogr.: p. 705-707. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2022. May. 24. 13:58
Last Modified:	2022. May. 24. 13:58
URI:	http://acta.bibl.u-szeged.hu/id/eprint/75860

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