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Order-preserving nonparametric regression, with applications to conditional distribution and quantile function estimation

Hall, Peter; Mueller, Hans-Georg


In some regression problems we observe a "response" Y ti to level t of a "treatment" applied to an individual with level Xi of a given characteristic, where it has been established that response is monotone increasing in the level of the treatment. A related problem arises when estimating conditional distributions, where the raw data are typically independent and identically distributed pairs (X i, Zi), and Yti denotes the proportion of Zi's that do not exceed t. We expect the regression means...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Journal of the American Statistical Association
DOI: 10.1198/016214503000000512


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