The Odds Generalized Gamma-G Family of Distributions: Properties, Regressions and Applications

IF 1.6 Q1 STATISTICS & PROBABILITY Statistica Pub Date : 2020-06-25 DOI:10.6092/ISSN.1973-2201/8665
M. A. Nasir, M. H. Tahir, C. Chesneau, Farrukh Jamal, M. A. A. Shah
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引用次数: 8

Abstract

In this article, a new "odds generalized gamma-G" family of distributions, called the GG-G family of distributions, is introduced. We propose a complete mathematical and statistical study of this family, with a special focus on the Frechet distribution as baseline distribution. In particular, we provide infinite mixture representations of its probability density function and its cumulative distribution function, the expressions for the Renyi entropy, the reliability parameter and the probability density function of ith order statistic. Then, the statistical properties of the family are explored. Model parameters are estimated by the maximum likelihood method. A regression model is also investigated. A simulation study is performed to check the validity of the obtained estimators. Applications on real data sets are also included, with favorable comparisons to existing distributions in terms of goodness-of-fit.
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奇广义Gamma-G分布族的性质、回归及其应用
本文介绍了一种新的“几率广义γ - g”分布族,称为GG-G分布族。我们建议对这个家族进行完整的数学和统计研究,特别关注Frechet分布作为基线分布。特别地,我们给出了它的概率密度函数和累积分布函数的无限混合表示、人意熵的表达式、可靠性参数和i阶统计量的概率密度函数。然后,对家族的统计性质进行了探讨。采用极大似然法估计模型参数。并对回归模型进行了研究。通过仿真研究验证了所得估计量的有效性。在真实数据集上的应用也包括在内,在拟合优度方面与现有分布进行了有利的比较。
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来源期刊
Statistica
Statistica STATISTICS & PROBABILITY-
CiteScore
1.70
自引率
0.00%
发文量
0
审稿时长
10 weeks
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