Gaussian Transforms Modeling and the Estimation of Distributional Regression Functions.

We propose flexible Gaussian representations for conditional cumulative distribution functions and give a concave likelihood criterion for their estimation. Optimal representations satisfy the monotonicity property of conditional cumulative distribution functions, including in finite samples and und...

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Publicado en:Econometrica Vol. 93; no. 5; pp. 1885 - 1914
Autores principales: Spady, Richard H., Stouli, Sami
Formato: Artículo
Publicado: Wiley-Blackwell Sep2025
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Sep2025
      vid: 93
      iid: 5
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      pub: Wiley-Blackwell
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        188002704
        10.3982/ECTA19153
      ppf: 1885
      ppct: 29
      formats:
      tig:
        atl: Gaussian Transforms Modeling and the Estimation of Distributional Regression Functions.
      aug:
        au:
          Spady, Richard H.
          Stouli, Sami
        affil:
          Department of Economics, Johns Hopkins University
          Nuffield College, University of Oxford
          School of Economics, University of Bristol
          Department of Economics, University of Melbourne
      su:
        Cumulative distribution function
        Maximum likelihood statistics
        Quantiles
        Statistical models
        Gender wage gap
      sug:
        subj:
          Cumulative distribution function
          Maximum likelihood statistics
          Quantiles
          Statistical models
          Gender wage gap
      keyword:
        Conditional density estimation
        conditional distributions
        conditional quantiles
        convexity
        gender wage gap
        maximum likelihood
        misspecification
        monotonicity
        Conditional density estimation
        conditional distributions
        conditional quantiles
        convexity
        gender wage gap
        maximum likelihood
        misspecification
        monotonicity
      ab: We propose flexible Gaussian representations for conditional cumulative distribution functions and give a concave likelihood criterion for their estimation. Optimal representations satisfy the monotonicity property of conditional cumulative distribution functions, including in finite samples and under general misspecification. We use these representations to provide a unified framework for the flexible maximum likelihood estimation of conditional density, cumulative distribution, and quantile functions at parametric rate. Our formulation yields substantial simplifications and finite sample improvements over related methods. An empirical application to the gender wage gap in the United States illustrates our framework.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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