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

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  • Bright O Osu
  • Philip U Uzoma

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.

Suggested Citation

  • Bright O Osu & Philip U Uzoma, 2016. "The Hartman-Wintner Law of the Iterated Logarithm for Noncommutative Martingales," International Journal of Mathematical Research, Conscientia Beam, vol. 5(2), pages 123-130.
    • Handle: RePEc:pkp:ijomre:v:5:y:2016:i:2:p:123-130:id:2190
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