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Comparing tl-moments, l-moments and conventional moments of dagum distribution by simulated data

机译:通过模拟数据比较tl-moment,l-moment和dagum分布的常规时刻

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摘要

Modeling income, wage, wealth, expenditure and various other socialvariables have always been an issue of great concern. The Dagum distributionis considered quite handy to model such type of variables. Our focus inthis study is to derive the L-moments and TL-moments of this distributionin closed form. Using L & TL-moments estimators we estimate the scaleparameter which represents the inequality of the income distribution fromthe mean income. Comparing L-moments, TL-moments and conventionalmoments, we observe that the TL-moment estimator has lessbias and rootmean square errors than those of L and conventional estimators consideredin this study. We also find that the TL-moments have smaller root meansquare errors for the coefficients of variation, skewness and kurtosis. Theseresults hold for all sample sizes we have considered in our Monte Carlo simulationstudy.
机译:对收入,工资,财富,支出和其他各种社会变量进行建模一直是一个备受关注的问题。 Dagum分布被认为很容易为此类变量建模。我们在这项研究中的重点是得出这种分布为封闭形式的L矩和TL矩。使用L和TL矩估计量,我们估计了比例参数,该比例参数表示平均收入带来的收入分配不平等。比较L矩,TL矩和常规矩,我们观察到TL矩估算器的偏倚和均方根误差比本研究中考虑的L矩和常规估算器小。我们还发现,对于变化,偏度和峰度系数,TL矩的均方根误差较小。这些结果适用于我们在蒙特卡洛模拟研究中考虑的所有样本量。

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