The Arcsine Log-Logistic Distribution and Its Applications

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.

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Publication Details

Journal
European Journal of Mathematics and Statistics
Published
2025-03-15
DOI
https://doi.org/10.24018/ejmath.2025.6.2.379
Citations
2
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
5.26
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article

The Arcsine Log-Logistic Distribution and Its Applications

Md. Mahabubur Rahman, Md. Shohel Rana, Md. Aftab Moral
2 citations
European Journal of Mathematics and Statistics
Statistical Distribution Estimation and Applications
5.26
article

The Arcsine Log-Logistic Distribution and Its Applications

Md. Mahabubur Rahman, Md. Shohel Rana, Md. Aftab Moral
article en
2 citations

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.

European Journal of Mathematics and StatisticsVol. 6(2)
Islamic University (BD)
Openalex Percentile: Top 6%
Statistical Distribution Estimation and Applications
5.26
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