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Testing for monotonicity of a regression mean by calibrating for linear functions

Hall, Peter; Heckman, Nancy

Description

A new approach to testing for monotonicity of a regression mean, not requiring computation of a curve estimator or a bandwidth, is suggested. It is based on the notion of "running gradients" over short intervals, although from some viewpoints it may be regarded as an analogue for monotonicity testing of the dip/excess mass approach for testing modality hypotheses about densities. Like the latter methods, the new technique does not suffer difficulties caused by almost-flat parts of the target...[Show more]

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
URI: http://hdl.handle.net/1885/89095
Source: Annals of Statistics

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