On confidence bands and set estimators for the simple linear model
type: Item
instance of: scholarly article
title: On confidence bands and set estimators for the simple linear model
zbMATH Open document ID: 0616.62040
DOI: 10.1016/0167-7152(87)90091-5
author: W. W. Piegorsch
published in: Statistics \& Probability Letters
publication date: 1987-01-01T00:00:00Z
review text: This paper reviews the duality between confidence bands and (convex) set estimators in a simple linear regression. Applications of this duality are explored. These include the nature of polygonal sets and the development of an algorithm that approximates the coverage probability of smooth confidence band functions.
Mathematics Subject Classification ID: 62F25
Mathematics Subject Classification ID: 62J05
zbMATH DE Number: 3998987
zbMATH Keywords: duality
zbMATH Keywords: confidence bands
zbMATH Keywords: set estimators
zbMATH Keywords: polygonal sets
zbMATH Keywords: algorithm
zbMATH Keywords: coverage probability
MaRDI profile type: Publication
full work available at URL: 0167-7152(87)90091-5
OpenAlex ID: W2052853766
cites work: Simultaneous Confidence Bands for Linear Regression Models
cites work: Q5810220
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cites work: Q5663262
description: scientific article; zbMATH DE number 3998987