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June, 1988 Monotone Nonparametric Regression
Hari Mukerjee
Ann. Statist. 16(2): 741-750 (June, 1988). DOI: 10.1214/aos/1176350832

Abstract

In monotone regression procedures one utilizes only the monotonicity of the regression function. In nonparametric regression one utilizes only the assumed smoothness. The analytic and asymptotic properties of the estimator are superior in the latter case; however, monotonicity is not guaranteed. We study a hybrid procedure that produces monotone estimators with properties similar to those of nonparametric regression estimators.

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Hari Mukerjee. "Monotone Nonparametric Regression." Ann. Statist. 16 (2) 741 - 750, June, 1988. https://doi.org/10.1214/aos/1176350832

Information

Published: June, 1988
First available in Project Euclid: 12 April 2007

zbMATH: 0647.62042
MathSciNet: MR947574
Digital Object Identifier: 10.1214/aos/1176350832

Subjects:
Primary: 62G05
Secondary: 60F05, 60F15

Rights: Copyright © 1988 Institute of Mathematical Statistics

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Vol.16 • No. 2 • June, 1988
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