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The Arcsine Log-Logistic Distribution and Its Applications

Author

Listed:
  • Md. Aftab Moral
  • Md. Shohel Rana
  • Md. Mahabubur Rahman

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

  • Md. Aftab Moral & Md. Shohel Rana & Md. Mahabubur Rahman, 2025. "The Arcsine Log-Logistic Distribution and Its Applications," European Journal of Mathematics and Statistics, European Open Science, vol. 6(2), pages 1-10, March.
    • Handle: RePEc:epw:ejmath:v:6:y:2025:i:2:id:14379
    DOI: 10.24018/ejmath.2025.6.2.379
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    References listed on IDEAS

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    1. William T. Shaw & Ian R. C. Buckley, 2009. "The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map," Papers 0901.0434, arXiv.org.
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