2025/01/12 by Santosh Kumar Chaudhary, Nitin Gupta, Chaudhary, Santosh Kumar +1
Decision Sciences · Mathematics · #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #Applications (stat.AP) #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.2501.14797
openalex publication_date 2025/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In statistical analysis, quantifying uncertainties through measures such as entropy, extropy, varentropy, and varextropy is of fundamental importance for understanding distribution functions. This paper investigates several properties of varextropy and give a new characterization of uniform distribution using varextropy. The alredy proposed estimators are used as a test statistics. Building on the characterization of the uniform distribution using varextropy, we give a uniformity test. The critical value and power of the test statistics are derived. The proposed test procedure is applied to a real-world dataset to assess its performance and effectiveness.