On Testing the Adequacy of the Logistic Model Based on Negative Cumulative Extropy

  • Hadi Alizadeh Noughabi Department of Statistics, University of Birjand, Iran
  • Mohammad Shafaei Noughabi Department of Mathematics and Statistics, University of Gonabad, Iran
DOI: https://doi.org/10.19139/soic-2310-5070-1938
Keywords: Logistic distribution, Negative cumulative extropy, Goodness-of-fit tests, Monte Carlo simulation, Critical value, Test power

Abstract

The logistic distribution has been used for various growth models, and is used in a certain type of regression, known appropriately as logistic regression. In this article, we propose a new goodness of fit test for the logistic distribution based on the negative cumulative residual extropy introduced by Tahmasebi and Toomaj (2022). The mean, variance and the other properties of the test statistic is presented. Percentage points of the test statistic are obtained and then power of the test against different alternatives are reported. The results of a simulation study show the test is competitive in terms of power. The proposed statistic is easy to compute and a real data set is used to illustrate the application of the proposed test.
Published
2025-01-07
How to Cite
Alizadeh Noughabi, H., & Shafaei Noughabi, M. (2025). On Testing the Adequacy of the Logistic Model Based on Negative Cumulative Extropy. Statistics, Optimization & Information Computing, 13(4), 1413-1426. https://doi.org/10.19139/soic-2310-5070-1938
Issue
Vol 13 No 4 (2025)
Section
Research Articles
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