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Pronzato, Luc ; Pázman, Andrej
Second-order approximation of the entropy in nonlinear least-squares estimation. (English). Kybernetika, vol. 30 (1994), issue 2, pp. 187-198
MSC: 62E17, 62E20, 62F12, 62J02, 62K05 | MR 1283494 | Zbl 0812.62071
Related articles:
Erratum: Second-order approximation of the entropy in nonlinear least-squares estimation
References:
[1] S. Amari: Differential-Geometrical Methods in Statistics. Springer, Berlin 1985. MR 0788689 | Zbl 0559.62001
[2] D. Bates, D. Watts: Relative curvature measures of nonlinearity. J. Roy. Statist. Soc. Ser. B 42 (1980), 1-25. MR 0567196 | Zbl 0455.62028
[3] M. Box: Bias in nonlinear estimation. J. Roy. Statist. Soc. Ser. B 33 (1971), 171-201. MR 0315827 | Zbl 0232.62029
[4] G. Clarke: Moments of the least-squares estimators in a non-linear regression model. J. Roy. Statist. Soc. Ser. B 42 (1980), 227-237. MR 0583361 | Zbl 0436.62054
[5] P. Hougaard: Saddlepoint approximations for curved exponential families. Statist. Probab. Lett. 3 (1985), 161-166. MR 0801863 | Zbl 0573.62016
[6] A. Pázman: Probability distribution of the multivariate nonlinear least-squares estimates. Kybernetika 20 (1984), 209-230. MR 0763647
[7] A. Pázman: Small-sample distributional properties of nonlinear regression estimators (a geometric approach) (with discussion). Statistics 21 (1990), 3, 323-367. MR 1062847
[8] N. Reid: Saddlepoint methods and statistical inference. Statist. Sci. 3 (1988), 213-238. MR 0968390 | Zbl 0955.62541
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