Pivotal variables and confidence regions in flat nonlinear regression models with unknown σ

DOI10.1080/02331889108802300zbMath0809.62053OpenAlexW2110471354MaRDI QIDQ4322946

Andrej Pázman

Publication date: 2 April 1995

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889108802300

zbMATH Keywords

saddlepoint approximationcurvaturesnormal errorsalmost exact confidence regionsflat nonlinear models

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Point estimation (62F10) General nonlinear regression (62J02)

Related Items (5)

Nonlinear regression and curved exponential families. Improvement of the approximation to the asymptotic distribution ⋮ Exact tests and confidence regions in nonlinear regression ⋮ Tilted Edgeworth expansions for asymptotically normal vectors ⋮ Unnamed Item ⋮ Higher Dimensional Nonlinear Regression-A Statistical Use of the Riemannian Curvature Tensor

Cites Work

• Invited discussion paper small-sample distributional properties of nonlinear regression estimators (a geometric approach)
• On Formulas for the Distribution of Nonlinear L.S. Estimates
• Exact confidence regions for the parameters in non-linear regression laws

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