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Applied Mathematics-A Journal of Chinese Universities  2020, Vol. 35 Issue (2): 220-243    DOI: 10.1007/s11766-020-3980-y
    
Some recent developments in modeling quantile treatment effects
TANG Sheng-fang
Department of Statistics, School of Economics, Xiamen University, Xiamen 361005, China
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Abstract   This paper provides a selective review of the recent developments on econometric/statistical modeling in quantile treatment effects under both selection on observables and on
unobservables. First, we discuss identification, estimation and inference of quantile treatment
effects under the framework of selection on observables. Then, we consider the case where the
treatment variable is endogenous or self-selected, for which an instrumental variable method
provides a powerful tool to tackle this problem. Finally, some extensions are discussed to the
data-rich environments, to the regression discontinuity design, and some other approaches to
identify quantile treatment effects are also discussed. In particular, some future research works
in this area are addressed.



Key wordsaverage treatment effect      endogeneity, quantile treatment effect      regression discontinuity design     
Published: 06 July 2020
CLC:  62F02  
  62G02  
Cite this article:

TANG Sheng-fang. Some recent developments in modeling quantile treatment effects. Applied Mathematics-A Journal of Chinese Universities, 2020, 35(2): 220-243.

URL:

http://www.zjujournals.com/amjcub/10.1007/s11766-020-3980-y     OR     http://www.zjujournals.com/amjcub/Y2020/V35/I2/220


Some recent developments in modeling quantile treatment effects

 This paper provides a selective review of the recent developments on econometric/statistical modeling in quantile treatment effects under both selection on observables and on
unobservables. First, we discuss identification, estimation and inference of quantile treatment
effects under the framework of selection on observables. Then, we consider the case where the
treatment variable is endogenous or self-selected, for which an instrumental variable method
provides a powerful tool to tackle this problem. Finally, some extensions are discussed to the
data-rich environments, to the regression discontinuity design, and some other approaches to
identify quantile treatment effects are also discussed. In particular, some future research works
in this area are addressed.


关键词: average treatment effect,  endogeneity, quantile treatment effect,  regression discontinuity design 
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