Gamma Odd Burr III-G族分布:模型、性质和应用

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2021-07-12 DOI:10.15446/RCE.V44N2.89320

Peter O. Peter, B. Oluyede, H. Bindele, Nkumbuludzi Ndwapi, Onkabetse V Mabikwa

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引用次数: 5

摘要

提出了一个新的分布族，称为Ristic Balakhrishnan Odd-Burr III-G（RBOB III-G）分布。我们得到了这种分布的一些数学和统计性质，如危险和反危险函数、分位数函数、矩和生成函数、条件矩、Rényi熵、次序统计量、随机排序和概率加权矩。使用最大似然估计技术来估计模型参数。最后，通过模拟实验证明了这一分布族的有用性。

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The Gamma Odd Burr III-G Family of Distributions: Model, Properties and Applications

A new family of distributions called Ristic-Balakhrishnan Odd Burr III-G (RBOB III-G) distribution is proposed. We obtain some mathematical and statistical properties of this distribution such as hazard and reverse hazardfunctions, quantile function, moments and generating functions, conditional moments, Rényi entropy, order statistics, stochastic ordering and probability weighted moments. The model parameters are estimated using maximum likelihood estimation technique. Finally, the usefulness of this family of distributions is demonstrated via simulation experiments.

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来源期刊

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.