Testing monotonicity of regression.

DOI10.1214/aos/1015956707zbMath1105.62337OpenAlexW2058762740MaRDI QIDQ1848813

Arusharka Sen, Subhashis Ghosal, Aad W. van der Vaart

Publication date: 14 November 2002

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1015956707

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

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Cites Work