The Generalized Burr XII Power Series Distributions with Properties and Applications

Ibrahim Elbatal; Emrah Altun; Ahmed Z. Afify; Gamze Ozel

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The Generalized Burr XII Power Series Distributions with Properties and Applications

机译：具有属性和应用的广义Burr XII幂级数分布

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摘要

We define and study a new family of distributions, called generalized Burr Ⅻ power series class, by compounding the generalized Burr Ⅻ and power series distributions. Several properties of the new family are derived. The maximum likelihood estimation method is used to estimate the model parameters. The importance and potentiality of the new family are illustrated by means of three applications to real data sets.

机译：通过混合广义BurrⅫ和幂级数分布，我们定义和研究了一个新的分布族，称为广义BurrⅫ幂级数类。得出了新家族的一些特性。最大似然估计方法用于估计模型参数。通过对实际数据集的三种应用来说明新家族的重要性和潜力。

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来源
《Annals Data Science》 |2019年第3期|571-597|共27页
作者
Ibrahim Elbatal; Emrah Altun; Ahmed Z. Afify; Gamze Ozel;
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作者单位

Department of Mathematics and Statistics, Imam Muhammad Ibn Saud Islamic University, Riyadh, Saudi Arabia;

Department of Statistics, Bartin University. 74100 Bartin, Turkey;

Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt;

Department of Statistics, Hacettepe University, Ankara, Turkey;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Generalized Burr Ⅻ distribution; Geometric distribution; Maximum likelihood estimation; Moments; Power series distribution;

机译：广义毛刺ⅻ分布;几何分布;最大可能性估计;时刻;电源系列分销;

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专利

1. The Generalized Burr XII Power Series Distributions with Properties and Applications [J] . Ibrahim Elbatal, Emrah Altun, Ahmed Z. Afify, Annals of data science . 2019,第3期

机译：具有属性和应用的广义毛刺XII电源系列分布
2. The Exponentiated Burr XII Power Series Distribution: Properties and Applications [J] . Arslan Nasir, Haitham M. Yousof, Farrukh Jamal, Stats . 2019,第1期

机译：指数化毛刺XII电源系列分布：属性和应用
3. A New Lindley-Burr XII Distribution: Model, Properties and Applications [J] . Boikanyo Makubate, Broderick Oluyede, Morongwa Gabanakgosi International Journal of Statistics and Probability . 2021,第4期

机译：新的Lindley-Burr XII分布：模型，属性和应用
4. Some Properties of Gamma Burr Type X Distribution with Application [C] . Mundher Abdullah Khaleel, Noor Akma Ibrahim, Mahendran Shitan, International Conference on Mathematical Sciences and Statistics . 2016

机译：伽马毛刺型X分布的一些特性
5. The Lindley power series class of distributions: Model, properties and applications. [D] . Warahena Liyanage, Gayan Jeewapriya DeAlwis Gunathilake. 2015

机译：Lindley幂级数分布的类别：模型，属性和应用。
6. A new Lindley-Burr XII power series distribution: model properties and applications [O] . Boikanyo Makubate, Morongwa Gabanakgosi, Fastel Chipepa, 2021

机译：新的Lindley-Burr XII Power系列分发：型号属性和应用
7. The Exponentiated Burr XII Power Series Distribution: Properties and Applications [O] . Arslan Nasir, Haitham Yousof, Farrukh Jamal, 2018

机译：指数化毛刺XII电源系列分布：属性和应用

The Generalized Burr XII Power Series Distributions with Properties and Applications

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