Neutrosophic Approach to Z-Testing for Poisson Count Data

Muhammad Aslam () and Abdulrahman AlAita ()
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Muhammad Aslam: King Abdulaziz University
Abdulrahman AlAita: Damascus University

Sankhya B: The Indian Journal of Statistics, 2025, vol. 87, issue 1, No 6, 129-146

Abstract: Abstract 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.

Keywords: Z-test; Classical statistics; Uncertainty; Level of significance; Sample size; Primary 62-XX; Secondary 62A86 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13571-024-00349-5

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