One-Sided Version of Law of the Iterated Logarithm for Summations of Signum Functions

Santosh Ghimire and Kenan Yildirim

Journal of Mathematics, 2023, vol. 2023, 1-7

Abstract: The law of the iterated logarithm (LIL), which describes the rate of convergence for a convergent lacunary series, was established by R. Salem and A. Zygmund. This rate is determined based on the variance-like term of the remainder after n terms of the series. In this article, we investigate a comparable one-sided LIL for sums of signum functions, which also relies on the remainder after n terms.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8369711

DOI: 10.1155/2023/8369711

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