The Alpha-Beta Skew Logistic Distribution: Properties and Applications

H. Esmaeili, Fazlollah Lak, M. Alizadeh, M. E. D. Monfared
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引用次数: 4

Abstract

A new family of skew distributions is introduced by extending the alpha skew logistic distribution proposed by Hazarika-Chakraborty [9]. This family of distributions is called the alpha-beta skew logistic (ABSLG) distribution.Density function, moments, skewness and kurtosis coefficients are derived. The parameters of the new family are estimated by maximum likelihood and moments methods. The performance of the obtained estimators examined via a Monte carlo simulation. Flexibility, usefulness and suitability of ABSLG is illustrated by analyzing two real data sets.
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Alpha-Beta偏态Logistic分布:性质和应用
通过扩展Hazarika Chakraborty[9]提出的α-偏斜逻辑分布,引入了一个新的偏斜分布族。这个分布族被称为α-β偏斜逻辑(ABSLG)分布。导出了密度函数、矩、偏度和峰度系数。利用最大似然法和矩量法对新族的参数进行了估计。通过蒙特卡罗模拟检验了所获得的估计器的性能。通过对两个真实数据集的分析,说明了ABSLG的灵活性、实用性和适用性。
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