Research Article

A new nonparametric estimation method of the variance in a heteroscedastic model

Volume: 44 Number: 1 February 1, 2015
  • Xiaoqin Zhang *
  • Hongxia Hao
  • Jiye Liang
EN

A new nonparametric estimation method of the variance in a heteroscedastic model

Abstract

In most economic phenomena, the assumption of homoscedasticity in the classic linear regression model is not necessarily true, which leads to heteroscedasticity. The heteroscedastic estimate is an important aspect for the problem of heteroscedasticity. For this hot issue, this paper proposes a nonparametric estimation method with simple calculation for the estimation of heteroscedasticity through orthogonal arrays, which does not rely on the distribution of data. The performance of the proposed method is investigated by prediction error in real data sets and simulations. The results suggest that this method offers substantial improvements over the existing tests.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Xiaoqin Zhang * This is me

Hongxia Hao This is me

Jiye Liang This is me

Publication Date

February 1, 2015

Submission Date

July 17, 2013

Acceptance Date

January 8, 2014

Published in Issue

Year 2015 Volume: 44 Number: 1

APA
Zhang, X., Hao, H., & Liang, J. (2015). A new nonparametric estimation method of the variance in a heteroscedastic model. Hacettepe Journal of Mathematics and Statistics, 44(1), 239-245. https://izlik.org/JA34TY62XJ
AMA
1.Zhang X, Hao H, Liang J. A new nonparametric estimation method of the variance in a heteroscedastic model. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):239-245. https://izlik.org/JA34TY62XJ
Chicago
Zhang, Xiaoqin, Hongxia Hao, and Jiye Liang. 2015. “A New Nonparametric Estimation Method of the Variance in a Heteroscedastic Model”. Hacettepe Journal of Mathematics and Statistics 44 (1): 239-45. https://izlik.org/JA34TY62XJ.
EndNote
Zhang X, Hao H, Liang J (February 1, 2015) A new nonparametric estimation method of the variance in a heteroscedastic model. Hacettepe Journal of Mathematics and Statistics 44 1 239–245.
IEEE
[1]X. Zhang, H. Hao, and J. Liang, “A new nonparametric estimation method of the variance in a heteroscedastic model”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 239–245, Feb. 2015, [Online]. Available: https://izlik.org/JA34TY62XJ
ISNAD
Zhang, Xiaoqin - Hao, Hongxia - Liang, Jiye. “A New Nonparametric Estimation Method of the Variance in a Heteroscedastic Model”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 1, 2015): 239-245. https://izlik.org/JA34TY62XJ.
JAMA
1.Zhang X, Hao H, Liang J. A new nonparametric estimation method of the variance in a heteroscedastic model. Hacettepe Journal of Mathematics and Statistics. 2015;44:239–245.
MLA
Zhang, Xiaoqin, et al. “A New Nonparametric Estimation Method of the Variance in a Heteroscedastic Model”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, Feb. 2015, pp. 239-45, https://izlik.org/JA34TY62XJ.
Vancouver
1.Xiaoqin Zhang, Hongxia Hao, Jiye Liang. A new nonparametric estimation method of the variance in a heteroscedastic model. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Feb. 1;44(1):239-45. Available from: https://izlik.org/JA34TY62XJ