Geodesic
Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model
Applications of Mathematics, Tome 40 (1995) no. 6, pp. 411-431

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The properly recorded standard deviation of the estimator and the properly recorded estimate are introduced. Bounds for the locally best linear unbiased estimator and estimate and also confidence regions for a linearly unbiasedly estimable linear functional of unknown parameters of the mean value are obtained in a special structure of nonlinear regression model. A sufficient condition for obtaining the properly recorded estimate in this model is also given.
The properly recorded standard deviation of the estimator and the properly recorded estimate are introduced. Bounds for the locally best linear unbiased estimator and estimate and also confidence regions for a linearly unbiasedly estimable linear functional of unknown parameters of the mean value are obtained in a special structure of nonlinear regression model. A sufficient condition for obtaining the properly recorded estimate in this model is also given.
DOI : 10.21136/AM.1995.134305
Classification : 62F10, 62F25, 62J02, 62J05
Keywords: properly recorded estimate; nonlinear regression; variances depending on the mean value parameters; confidence regions; bounds for the estimate 
Wimmer, Gejza. Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model. Applications of Mathematics, Tome 40 (1995) no. 6, pp. 411-431. doi: 10.21136/AM.1995.134305
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