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The Arcsine Log-Logistic Distribution and Its Applications

Author

Listed:
  • Md. Aftab Moral

    (Department of Statistics, Islamic University, Kushtia-7003, Bangladesh)

  • Md. Shohel Rana

    (Department of Statistics, Islamic University, Kushtia-7003, Bangladesh)

  • Md. Mahabubur Rahman

    (Department of Statistics, Islamic University, Kushtia-7003, Bangladesh)

Abstract

This article introduces Arcsine Log-logistic (AL-L) distribution which is a member of Arcsine-G family proposed by Rahman. The different properties of AL-L distribution have been discussed. The distribution of various order statistics are obtained. Maximum Likelihood Estimation (MLE) technique is used to estimate the model parameters. Finally, for testing the practicability of proposed model we have been used two different datasets.

Suggested Citation

Handle: RePEc:epw:ejmath:v:6:y:2025:i:2:id:14379
DOI: 10.24018/ejmath.2025.6.2.379
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