The Hartman-Wintner Law of the Iterated Logarithm for Noncommutative Martingales

Bright O Osu and Philip U Uzoma

International Journal of Mathematical Research, 2016, vol. 5, issue 2, 123-130

Abstract: In this study, we prove one of the fundamental strong laws of classical probability theory, the Hartman-Wintner’s law of the iterated logarithm for non-commutative martingale using a simple exponential inequality.

Keywords: Hartman-Wintner’s law; Kolmogorov’s law; Non-commutative martingale; Law of the iterated logarithm (LIL) (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:pkp:ijomre:v:5:y:2016:i:2:p:123-130:id:2190

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