GOLD分布——对Lindely分布推广的再认识

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-06-02 DOI:10.18187/pjsor.v19i2.3255

Mohammad Al-Talib, Amjad D. Al-Nasser, E. Ciavolino

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引用次数: 1

摘要

本文提出了单参数Lindely分布的一个新的推广。新分布是具有固定标度参数和可变形状参数的伽玛分布的混合分布。这种分布被称为“GOLD分布”，因为它是指数分布、Lindely分布、Sujatha分布、Amarendra分布、Devya分布和Shambhu分布等几种分布的推广。导出了概率密度函数和累积密度函数。此外，还讨论了GOLD分布的统计性质。给出了利用最大似然法和矩量法进行参数估计的方法。此外，基于实际寿命数据，讨论了GOLD分布在生存数据分析中的有用性。

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GOLD DISTRIBUTION Another Look on the Generalization of Lindely Distribution

In this paper, a new generalization of one parameter Lindely distribution is proposed. The new distribution is a mixture distribution of Gamma distributions with fixed scale parameter and variable shape parameter. The distribution is called 'GOLD Distribution' as it is a generalization for several distributions such as exponential, Lindely, Sujatha, Amarendra, Devya and Shambhu distributions. The probability density and cumulative density functions are derived. Also, the statistical properties of the GOLD distribution are discussed. Parameter estimation using the maximum likelihood and the method of moments are given. Moreover, an illustration of the usefulness of the GOLD distribution in survival data analysis is discussed based on a real lifetime data.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.