Hotelling's theorem on the volume of tubes: Some illustrations in simultaneous inference and data analysis
type: Item
instance of: scholarly article
title: Hotelling's theorem on the volume of tubes: Some illustrations in simultaneous inference and data analysis
zbMATH Open document ID: 0723.62018
author: Iain M. Johnstone
author: Søren Johansen
published in: The Annals of Statistics
publication date: 1990-01-01T00:00:00Z
Mathematics Subject Classification ID: 62F25
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 62J02
Mathematics Subject Classification ID: 62J15
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 4192877
zbMATH Keywords: volumes of tubes
zbMATH Keywords: simultaneous inference
zbMATH Keywords: confidence bands
zbMATH Keywords: contemporary examples Hotelling's geometric approach to simultaneous probability calculations
zbMATH Keywords: normal theory significance probabilities
zbMATH Keywords: cross-sectional area
zbMATH Keywords: simultaneous prediction regions
zbMATH Keywords: gait analysis
zbMATH Keywords: Andrew's plots
zbMATH Keywords: multivariate data analysis
zbMATH Keywords: significance tests
zbMATH Keywords: projection pursuit regression
zbMATH Keywords: numerical criterion for tube self-overlap
zbMATH Keywords: nonlinear least squares estimates
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176347620
OpenAlex ID: W2064061956
DOI: 10.1214/AOS/1176347620
description: scientific article; zbMATH DE number 4192877