几何分布的一个推广及其性质和应用

IF 0.6 Q4 STATISTICS & PROBABILITY

Austrian Journal of Statistics Pub Date : 2023-07-18 DOI:10.17713/ajs.v52i3.1487

S. Chakraborty, S. Ong, Aniket Biswas

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引用次数: 0

摘要

采用Azzalini方法引入一个新的参数来扩展几何分布。研究了所提出的双参数扩展几何分布的几个重要结构性质。根据所提出的模型，建立了包括几何分布在内的特征。详细讨论了最大似然估计、矩估计方法和基于相对频率的参数估计。提出了附加参数相关性的似然比检验。讨论了用STAN对参数进行贝叶斯估计的方法。通过对两个实际数据集的分析，将该模型与最近引入的一些双参数计数模型进行了比较。研究结果清楚地表明，所提出的模型优于其他模型。

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An Extension of the Geometric Distribution with Properties and Applications

A new parameter is introduced to extend the geometric distribution using Azzalini's method. Several important structural properties of the proposed two-parameter extended geometric distribution are investigated. Characterizations including for the geometric distribution, in terms of the proposed model, are established. Maximum likelihood estimation, method of moment estimation and relative frequency based estimation of the parameters are discussed in detail. The likelihood ratio test regarding relevance of the additional parameter is presented. Bayesian estimation of the parameters using STAN is also discussed. The proposed model is compared with some recently introduced two-parameter count models by analyzing two real-life datasets. The findings clearly indicate superiority of the proposed model over the rest.

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来源期刊

Austrian Journal of Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Austrian Journal of Statistics is an open-access journal (without any fees) with a long history and is published approximately quarterly by the Austrian Statistical Society. Its general objective is to promote and extend the use of statistical methods in all kind of theoretical and applied disciplines. The Austrian Journal of Statistics is indexed in many data bases, such as Scopus (by Elsevier), Web of Science - ESCI by Clarivate Analytics (formely Thompson & Reuters), DOAJ, Scimago, and many more. The current estimated impact factor (via Publish or Perish) is 0.775, see HERE, or even more indices HERE. Austrian Journal of Statistics ISNN number is 1026597X Original papers and review articles in English will be published in the Austrian Journal of Statistics if judged consistently with these general aims. All papers will be refereed. Special topics sections will appear from time to time. Each section will have as a theme a specialized area of statistical application, theory, or methodology. Technical notes or problems for considerations under Shorter Communications are also invited. A special section is reserved for book reviews.