About monotone regression quantiles
AbstractThe 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 InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 48 (2000)
Issue (Month): 1 (May)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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- Samuel Kotz & Tomasz Kozubowski & Krzysztof Podgórski, 2002. "Maximum Likelihood Estimation of Asymmetric Laplace Parameters," Annals of the Institute of Statistical Mathematics, Springer, vol. 54(4), pages 816-826, December.
- Tomasz Kozubowski & Saralees Nadarajah, 2010. "Multitude of Laplace distributions," Statistical Papers, Springer, vol. 51(1), pages 127-148, January.
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