Yao, Qiwei  ORCID: 0000-0003-2065-8486 and Hyndman, Rob J. 
  
(2002)
Nonparametric estimation and symmetry tests for conditional density functions.
    Journal of Nonparametric Statistics, 14 (3).
     pp. 259-278.
     ISSN 1048-5252
ORCID: 0000-0003-2065-8486 and Hyndman, Rob J. 
  
(2002)
Nonparametric estimation and symmetry tests for conditional density functions.
    Journal of Nonparametric Statistics, 14 (3).
     pp. 259-278.
     ISSN 1048-5252
  
  
  
  
  
    
  
    
      
      
    
  
  
      
  
    
  
  
    Abstract
    We suggest two improved methods for conditional density estimation. The rst is based on locally tting a log-linear model, and is in the spirit of recent work on locally parametric techniques in density estimation. The second method is a constrained local polynomial estimator. Both methods always produce non-negative estimators. We propose an algorithm suitable for selecting the two bandwidths for either estimator. We also develop a new bootstrap test for the symmetry of conditional density functions. The proposed methods are illustrated by both simulation and application to a real data set.
  
  
  
  
  
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