ASYMPTOTIC MODEL-CHECK FOR MULTIVARIATE SPATIAL REGRESSION WITH CORRELATED RESPONSES

DOI10.17654/FJMSNOV2015_613_639zbMath1341.60007OpenAlexW2520450715MaRDI QIDQ2811370

Gusti N. Adhi Wibawa, Wayan Somayasa

Publication date: 10 June 2016

Published in: Far East Journal of Mathematical Sciences (FJMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/fjmsnov2015_613_639

zbMATH Keywords

likelihood ratio testMonte Carlo simulationslimit theoremKolmogorov-Smirnov testCramér-von Mises testmultivariate spatial regressionset-indexed partial sums process\(p\)-dimensional set-indexed Brownian sheetleast squares residual

Mathematics Subject Classification ID

Random fields (60G60) Inference from spatial processes (62M30) Gaussian processes (60G15) Asymptotic properties of nonparametric inference (62G20) Linear regression; mixed models (62J05) Central limit and other weak theorems (60F05) Monte Carlo methods (65C05) Brownian motion (60J65)

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Accessing the power of tests based on set-indexed partial sums of multivariate regression residuals ⋮ Asymptotic theory in model diagnostic for general multivariate spatial regression

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