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n-prediction of generalized heteroscedastic transformation regression models

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  • Chen, Songnian
  • Zhang, Hanghui

Abstract

Chen (2010) and Khan (2001) consider quantile regression estimation subject to general transformation that permits general heteroscedasticity, but the resulting conditional quantile predictors converge at rates slower than the parametric rate. In this paper, we consider the estimation of a general transformation model subject to a multiplicative form of heteroscedasticity. Our estimators for the finite dimensional parameters, the transformation function and the resulting conditional quantile predictor all converge at the parametric rate. Monte Carlo simulation experiments show that our estimators and conditional quantile predictor perform well in finite samples.

Suggested Citation

  • Chen, Songnian & Zhang, Hanghui, 2020. "n-prediction of generalized heteroscedastic transformation regression models," Journal of Econometrics, Elsevier, vol. 215(2), pages 305-340.
    • Handle: RePEc:eee:econom:v:215:y:2020:i:2:p:305-340
    DOI: 10.1016/j.jeconom.2019.09.003
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    References listed on IDEAS

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    2. Songnian Chen, 2002. "Rank Estimation of Transformation Models," Econometrica, Econometric Society, vol. 70(4), pages 1683-1697, July.
    3. Chen, Songnian, 2010. "An integrated maximum score estimator for a generalized censored quantile regression model," Journal of Econometrics, Elsevier, vol. 155(1), pages 90-98, March.
    4. Xiao‐Hua Zhou & Huazhen Lin & Eric Johnson, 2008. "Non‐parametric heteroscedastic transformation regression models for skewed data with an application to health care costs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(5), pages 1029-1047, November.
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    Cited by:

    1. Yu, Tao & Li, Pengfei & Chen, Baojiang & Yuan, Ao & Qin, Jing, 2023. "Maximum pairwise-rank-likelihood-based inference for the semiparametric transformation model," Journal of Econometrics, Elsevier, vol. 235(2), pages 454-469.

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    More about this item

    Keywords

    Generalized transformation regression model; Heteroscedasticity; n-prediction;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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