Geodesic
Linearization regions for confidence ellipsoids
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 47 (2008) no. 1, pp. 101-113.

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If an observation vector in a nonlinear regression model is normally distributed, then an algorithm for a determination of the exact $(1-\alpha )$-confidence region for the parameter of the mean value of the observation vector is well known. However its numerical realization is tedious and therefore it is of some interest to find some condition which enables us to construct this region in a simpler way.
Classification : 62F10, 62F25, 62J05
Keywords: confidence ellipsoid; nonlinear regression model; linearization region 
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Kubáček, Lubomír; Tesaříková, Eva. Linearization regions for confidence ellipsoids. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 47 (2008) no. 1, pp. 101-113. http://geodesic.mathdoc.fr/item/AUPO_2008__47_1_a8/