an:00887227
Zbl 0845.62020
Wimmer, Gejza
Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model
EN
Appl. Math., Praha 40, No. 6, 411-431 (1995).
00030380
1995
j
62F10 62J02 62J05 62F25
bounds; variance depending on mean value parameters; properly recorded standard deviation; properly recorded estimate; locally best linear unbiased estimator; confidence regions; linearly unbiasedly estimable linear functional; mean value
Summary: 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 models. A sufficient condition for obtaining the properly recorded estimate in this model is also given.