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Application of Equality Test of Coefficients of Variation to the Heteroskedasticity Test

机译:异源性试验变异系数平等试验的应用

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The presence of heteroskedasticity in a considered regression model may bias the standard deviations of parameters obtained by the Ordinary Least Square (OLS) method. In this case, several hypothesis tests on the model under consideration may be biased, for example, CHOW’s coefficient stability test (or structural change test), Student’s t-test and Fisher’s F-test. Most of the heteroscedasticity tests in the literature are based on the comparison of variances. Despite the multiplication of equality tests of coefficients of variation (CVs) that have appeared in the literature, to our knowledge, the first and only use of the coefficient of variation in the detection of heteroskedasticity was offered by Li and Yao in 2017. Thus, this paper offers an approach to determine the existence of heteroskedasticity by a test of equality of coefficients of variation. We verify by a Monte Carlo robustness and performance test that our method seems even better than some tests in the literature. The results of this study contribute to the exploitation of the statistical measurement of CV dispersion. They help technicians economists to better verify their hypotheses before making a scientific decision when making a necessary forecast, in order to contribute effectively to the economic and sustainable development of a company or enterprise.
机译:所考虑的回归模型中的异源性瘢痕度的存在可以偏压通过普通最小二乘(OLS)方法获得的参数的标准偏差。在这种情况下,正在考虑的模型上的几个假设测试可以偏置,例如,Chow的系数稳定性测试(或结构变化测试),学生的T-Test和Fisher的F-Test。文献中的大多数异源性测试基于差异的比较。尽管在文献中出现的变异系数(CVS)的平等测试乘以,但我们的知识,在2017年李和瑶提供了异源性瘢痕度检测系数的第一个和唯一使用。因此,本文提供了一种方法,可以通过变异系数的平等的测试来确定异源性度的存在。我们通过蒙特卡罗稳健性和性能测试验证,我们的方法似乎比文献中的一些测试更好。该研究的结果有助于利用CV分散的统计测量。他们帮助技术人员经济学家更好地验证他们的假设,然后在做出必要的预测时进行科学决策,以便有效地捐助公司或企业的经济和可持续发展。

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