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About monotone regression quantiles


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  • Poiraud-Casanova, Sandrine
  • Thomas-Agnan, Christine


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.

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Bibliographic Info

Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 48 (2000)
Issue (Month): 1 (May)
Pages: 101-104

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Handle: RePEc:eee:stapro:v:48:y:2000:i:1:p:101-104

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Keywords: Monotonicity Regression quantile Min-Max formula;


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Cited by:
  1. Samuel Kotz & Tomasz Kozubowski & Krzysztof Podg├│rski, 2002. "Maximum Likelihood Estimation of Asymmetric Laplace Parameters," Annals of the Institute of Statistical Mathematics, Springer, vol. 54(4), pages 816-826, December.
  2. Tomasz Kozubowski & Saralees Nadarajah, 2010. "Multitude of Laplace distributions," Statistical Papers, Springer, vol. 51(1), pages 127-148, January.


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