A comparison of two exact confidence regions for partially nonlinear regression models

DOI10.2307/3315201zbMath0624.62062OpenAlexW2157801573MaRDI QIDQ3026079

David C. Hamilton

Publication date: 1987

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315201

zbMATH Keywords

projectionssecond-order approximationellipsoidal approximationefficient scoresExact confidence regionsorthogonal subspaces of the sample spacepartially nonlinear modelstangent-plane coordinates

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) General nonlinear regression (62J02)

Cites Work

• Accounting for intrinsic nonlinearity in nonlinear regression parameter inference regions
• Parameter transformations for improved approximate confidence regions in nonlinear least squares
• A Note on D-Optimal Designs for Partially Nonlinear Regression Models
• Confidence regions for parameter subsets in nonlinear regression
• Exact confidence regions for the parameters in non-linear regression laws
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