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About monotone regression quantiles

Sandrine Casanova and Christine Thomas-Agnan

Statistics & Probability Letters, 2000, vol. 48, issue 1, 101-104

Abstract: The aim of this paper is to prove the equivalence between the regression quantile under monotonicity constraint and the Min-Max formula introduced by Casady and Cryer (1976, Ann. Math. Statist. 4 (3), 532-541). The proof of this result uses an original probability density which does not appear in classical books.

Keywords: Monotonicity; Regression; quantile; Min-Max; formula (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (6)

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