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Abstract <p>This study introduces the unit Garima–Sushila (UGa-S) distribution and a bivariate UGa-S distribution using the FGM copula. Various of its structural properties are derived. The estimation of the model parameters is approached by the method of maximum likelihood (ML) for the univariate and bivariate UGa-S distribution, and a simulation study for different parameter settings and sample sizes is performed. The ML method is illustrated to estimate the model parameters, and its potentiality is illustrated with applications to two real data sets.</p>

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Univariate and Bivariate Unit Garima–Sushila Distributions: Properties and Application

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • Ekapak Tanprayoon,
  • Sirinapa Aryuyuen

摘要

Abstract

This study introduces the unit Garima–Sushila (UGa-S) distribution and a bivariate UGa-S distribution using the FGM copula. Various of its structural properties are derived. The estimation of the model parameters is approached by the method of maximum likelihood (ML) for the univariate and bivariate UGa-S distribution, and a simulation study for different parameter settings and sample sizes is performed. The ML method is illustrated to estimate the model parameters, and its potentiality is illustrated with applications to two real data sets.