The Arcsine Log-Logistic Distribution and Its Applications

Md. Aftab Moral, Md. Shohel Rana and Md. Mahabubur Rahman
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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

European Journal of Mathematics and Statistics, 2025, vol. 6, issue 2, 1-10

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.

Keywords: Arcsine-G family; Arcsine Log-logistic (AL-L); Log-logistic (L-L) distribution; Maximum Likelihood Estimation (MLE) (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:6:y:2025:i:2:id:14379

DOI: 10.24018/ejmath.2025.6.2.379

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