Double points in nonlinear calibration

Philip J. Brown; Samuel D. Oman

doi:10.1093/biomet/78.1.33

Double points in nonlinear calibration

Philip J. Brown^*
, Samuel D. Oman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

SUMMARY: In nonlinear calibration and regression a double point is defined with respect to estimation and to confidence sets. Loosely speaking, if a future observation is a double point then multiple point estimates or disconnected confidence regions will occur. We investigate the extent of the set of double points. A diagnostic, the probability of their occurrence, is computed.

Original language	English
Pages (from-to)	33-43
Number of pages	11
Journal	Biometrika
Volume	78
Issue number	1
DOIs	https://doi.org/10.1093/biomet/78.1.33
State	Published - Mar 1991

Keywords

Confidence interval
Differential geometry
Double point
Estimation
Intrinsic curvature
Multivariate nonlinear calibration
Nonlinear regression

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10.1093/biomet/78.1.33

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title = "Double points in nonlinear calibration",

abstract = "SUMMARY: In nonlinear calibration and regression a double point is defined with respect to estimation and to confidence sets. Loosely speaking, if a future observation is a double point then multiple point estimates or disconnected confidence regions will occur. We investigate the extent of the set of double points. A diagnostic, the probability of their occurrence, is computed.",

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year = "1991",

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AB - SUMMARY: In nonlinear calibration and regression a double point is defined with respect to estimation and to confidence sets. Loosely speaking, if a future observation is a double point then multiple point estimates or disconnected confidence regions will occur. We investigate the extent of the set of double points. A diagnostic, the probability of their occurrence, is computed.

KW - Confidence interval

KW - Differential geometry

KW - Double point

KW - Estimation

KW - Intrinsic curvature

KW - Multivariate nonlinear calibration

KW - Nonlinear regression

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Double points in nonlinear calibration

Abstract

Keywords

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