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<p>This paper introduces a novel approach to z-testing for counts that follow the Poisson distribution, particularly when the significance level and sample size are uncertain. The proposed method extends the traditional z-test for Poisson-distributed counts within the framework of neutrosophic statistics. We outline the test statistic and provide a step-by-step guide for its application using a practical example. Our analysis demonstrates that the z-test for Poisson counts under neutrosophic statistics offers greater efficiency, flexibility, and information compared to its classical counterpart.</p>

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Neutrosophic Approach to Z-Testing for Poisson Count Data

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Muhammad Aslam,
  • Abdulrahman AlAita

摘要

This paper introduces a novel approach to z-testing for counts that follow the Poisson distribution, particularly when the significance level and sample size are uncertain. The proposed method extends the traditional z-test for Poisson-distributed counts within the framework of neutrosophic statistics. We outline the test statistic and provide a step-by-step guide for its application using a practical example. Our analysis demonstrates that the z-test for Poisson counts under neutrosophic statistics offers greater efficiency, flexibility, and information compared to its classical counterpart.