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cemmap Working Papers
April 2007 CWP10/07
Article
Quantile and probability curves without crossing
Type: cemmap Working Papers
Authors: Victor Chernozhukov, Ivan Fernandez-Val and Alfred Galichon
ISSN: 1753-9196
Now published in: Econometrica [Details]

The most common approach to estimating conditional quantile curves is to fit a curve, typically linear, pointwise for each quantile. Linear functional forms, coupled with pointwise fitting, are used for a number of reasons including parsimony of the resulting approximations and good computational properties. The resulting fits, however, may not respect a logical monotonicity requirement that the quantile curve be increasing as a function of probability. This paper studies the natural monotonization of these empirical curves induced by sampling from the estimated non-monotone model, and then taking the resulting conditional quantile curves that by construction are monotone in the probability.

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