The limit of the partial sums process of spatial least squares residuals

DOI10.1016/j.jmva.2009.04.005zbMath1183.60008OpenAlexW1968415419MaRDI QIDQ1036780

Wolfgang Bischoff, Wayan Somayasa

Publication date: 13 November 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2009.04.005

zbMATH Keywords

Brownian sheetbounded variationpartial sums processRiemann-Stieltjes integralBrownian pillowset indexed partial sumsspatial least squares residuals

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Nonparametric hypothesis testing (62G10) Gaussian processes (60G15) Asymptotic properties of nonparametric inference (62G20) Linear regression; mixed models (62J05) Central limit and other weak theorems (60F05)

Related Items (3)

Partial sum process to check regression models with multiple correlated response: with an application for testing a change-point in profile data ⋮ Asymptotic theory in model diagnostic for general multivariate spatial regression ⋮ Boundary non-crossing probabilities of Gaussian processes: sharp bounds and asymptotics

Cites Work

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• Exact asymptotics for boundary crossings of the Brownian bridge with trend with application to the Kolmogorov test
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• On double Riemann-Stieltjes integrals
• A Multi-Parameter Gaussian Process
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