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<p>In this paper, we study operator valued exponential upper bounds and large deviation-type bounds for <i>T</i>-acceptable weighted sums. Furthermore, we investigate the weak type law of large numbers for weighted sums of non-commutative random variables.</p>

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Exponential bounds for weighted sums of T-acceptable random variables

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月15日

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  • Byoung Jin Choi

摘要

In this paper, we study operator valued exponential upper bounds and large deviation-type bounds for T-acceptable weighted sums. Furthermore, we investigate the weak type law of large numbers for weighted sums of non-commutative random variables.