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<p>We propose and study a novel collection of signed measures, which will be called Taylor measures. Stochastic versions of the new measures are also defined and studied. We illustrate, through examples, how the deterministic and stochastic versions of the proposed Taylor measures emerge as a unifying framework that includes many concepts from mathematics and probability theory as special cases.</p>

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The Taylor Measure and its Applications

  • 期刊论文

  • 发表日期：

    2025年10月28日

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  • Athanasios C. Micheas

摘要

We propose and study a novel collection of signed measures, which will be called Taylor measures. Stochastic versions of the new measures are also defined and studied. We illustrate, through examples, how the deterministic and stochastic versions of the proposed Taylor measures emerge as a unifying framework that includes many concepts from mathematics and probability theory as special cases.