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A formulation in terms of curvature for the confidence regions of exponential family nonlinear models. (Chinese. English summary) Zbl 0990.62509

Summary: We use the differential-geometric approach to exponential family nonlinear models to establish the general connection between parameter confidence regions and the curvature of statistical models, and obtain three types of formulations of the parameters and subset parameters in terms of the curvature; thus the previous related results are developed further.

MSC:

62F25 Parametric tolerance and confidence regions
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