Heteroscedasticity Detection and Estimation with Quantile Difference Method

XIA Wentao,XIONG Wei,TIAN Maozai

系统科学与复杂性(英文) ›› 2016, Vol. 29 ›› Issue (2) : 511-530.

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PDF(396 KB)
系统科学与复杂性(英文) ›› 2016, Vol. 29 ›› Issue (2) : 511-530. DOI: 10.1007/s11424-015-3161-x

Heteroscedasticity Detection and Estimation with Quantile Difference Method

    XIA Wentao1 , XIONG Wei 2, TIAN Maozai3
作者信息 +

Heteroscedasticity Detection and Estimation with Quantile Difference Method

    XIA Wentao1 , XIONG Wei 2, TIAN Maozai3
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Abstract

When dealing with regression analysis, heteroscedasticity is a problem that the authors have to face with. Especially if little information can be got in advance, detection of heteroscedasticity as well as estimation of statistical models could be even more difficult. To this end, this paper proposes a quantile difference method (QDM) that can effectively estimate the heteroscedastic function. This method, being completely free from the estimation of mean regression function, is simple, robust and easy to implement. Moreover, the QDM method enables the detection of heteroscedasticity without any restrictions on error terms, consequently being widely applied. What is worth mentioning is that based on the proposed approach estimators of both mean regression function and heteroscedastic function can be obtained. In the end, the authors conduct some simulations to examine the performance of the proposed methods and use a real data to make an illustration.

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XIA Wentao,XIONG Wei,TIAN Maozai. Heteroscedasticity Detection and Estimation with Quantile Difference Method. 系统科学与复杂性(英文), 2016, 29(2): 511-530 https://doi.org/10.1007/s11424-015-3161-x
XIA Wentao , XIONG Wei , TIAN Maozai. Heteroscedasticity Detection and Estimation with Quantile Difference Method. Journal of Systems Science and Complexity, 2016, 29(2): 511-530 https://doi.org/10.1007/s11424-015-3161-x
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