Euclidean geometry of curved exponential families and its application to confidence regions

DOI10.1007/BF02665224zbMath0814.62015MaRDI QIDQ1804216

Bo-Cheng Wei

Publication date: 18 June 1995

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Fisher informationconfidence regionscurved exponential familiesstatistical curvaturescore statistics

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Classical differential geometry (53A99)

Cites Work

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• Accounting for intrinsic nonlinearity in nonlinear regression parameter inference regions
• Defining the curvature of a statistical problem (with applications to second order efficiency)
• Differential geometry of curved exponential families. Curvatures and information loss
• Differential-geometrical methods in statistics
• Confidence regions for parameter subsets in nonlinear regression