Title: Testing monotonicity of regression
Authors: Bowman, AW ×
Jones, MC
Gijbels, Irène #
Issue Date: 1998
Publisher: Amer statistical assoc
Series Title: Journal of computational and graphical statistics vol:7 issue:4 pages:489-500
Abstract: This article provides a test of monotonicity of a regression function. The test is based on the size of a "critical" bandwidth, the amount of smoothing necessary to force a nonparametric regression estimate to be monotone. It is analogous to Silverman's test of multimodality in density estimation. Bootstrapping is used to provide a null distribution for the test statistic. The methodology is particularly simple in regression models in which the variance is a specified function of the mean, but we also discuss in detail the homoscedastic case with unknown variance. Simulation evidence indicates the usefulness of the method. Two examples are given.
ISSN: 1061-8600
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

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