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Abstract <p>This paper introduces a new distribution from the Topp–Leone generated family, the Topp–Leone Garima distribution. It is used to analyze lifetime data. Some statistical properties of the proposed distribution are investigated, including <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8434_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(r\)</EquationSource> <!--LobJMat2560847Boonmeekham-m1--> </InlineEquation>th moments, moments generating, characteristic function, and order statistics. The model parameters are estimated using the maximum likelihood method. The performance for the parameter estimation of the Topp–Leone Garima is provided by the Monte Carlo simulation, which is compared using the bias and the mean squared error. Finally, the proposed distributions are applied to lifetime datasets.</p>

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The Topp–Leone Garima Distribution: Properties and Application

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Arin Boonmeekham,
  • Thidaporn Supapakorn,
  • Winai Bodhisuwan

摘要

Abstract

This paper introduces a new distribution from the Topp–Leone generated family, the Topp–Leone Garima distribution. It is used to analyze lifetime data. Some statistical properties of the proposed distribution are investigated, including \(r\) th moments, moments generating, characteristic function, and order statistics. The model parameters are estimated using the maximum likelihood method. The performance for the parameter estimation of the Topp–Leone Garima is provided by the Monte Carlo simulation, which is compared using the bias and the mean squared error. Finally, the proposed distributions are applied to lifetime datasets.