A note on the estimation of the integral of \(f^ 2(x)\)
type: Item
instance of: scholarly article
title: A note on the estimation of the integral of \(f^ 2(x)\)
zbMATH Open document ID: 0563.62028
DOI: 10.1016/0378-3758(84)90007-7
author: James C. Aubuchon
author: Thomas P. Hettmansperger
published in: Journal of Statistical Planning and Inference
publication date: 1984-01-01T00:00:00Z
review text: The estimation of \(y=\int^{\infty}_{-\infty}f^ 2(x)dx\), important in nonparametric inference, is discussed. Methods, based on either density estimators or on the lengths of nonparametric confidence intervals, are compared. We conclude that density type estimators have advantages over the estimators based on confidence intervals.
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 3898024
zbMATH Keywords: estimation of integrals
zbMATH Keywords: density estimators
zbMATH Keywords: estimators based on confidence intervals
describes a project that uses: MINITAB
MaRDI profile type: Publication
full work available at URL: 0378-3758(84)90007-7
OpenAlex ID: W2074455582
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description: scientific article; zbMATH DE number 3898024