Nonparametric Estimation of Conditional CDF and Quantile Functions With Mixed Categorical and Continuous Data Academic Article uri icon

abstract

  • We propose a new nonparametric conditional cumulative distribution function kernel estimator that admits a mix of discrete and categorical data along with an associated nonparametric conditional quantile estimator. Bandwidth selection for kernel quantile regression remains an open topic of research. We employ a conditional probability density function-based bandwidth selector proposed by Hall, Racine, and Li that can automatically remove irrelevant variables and has impressive performance in this setting. We provide theoretical underpinnings including rates of convergence and limiting distributions. Simulations demonstrate that this approach performs quite well relative to its peers; two illustrative examples serve to underscore its value in applied settings. 2008 American Statistical Association.

published proceedings

  • JOURNAL OF BUSINESS & ECONOMIC STATISTICS

altmetric score

  • 3

author list (cited authors)

  • Li, Q. i., & Racine, J. S.

citation count

  • 158

complete list of authors

  • Li, Qi||Racine, Jeffrey S

publication date

  • January 2008