@article{VNGU_2017_17_2_a3,
author = {Yu. Yu. Linke},
title = {Two-step estimation in heteroscedastic linear regression model},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {39--51},
year = {2017},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_2_a3/}
}
Yu. Yu. Linke. Two-step estimation in heteroscedastic linear regression model. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 2, pp. 39-51. http://geodesic.mathdoc.fr/item/VNGU_2017_17_2_a3/
[1] Heyde C. C., Quasi-Likelihood and its Application: A General Approach to Optimal Parameter Estimation, Springer, 1997 | MR | Zbl
[2] Dette H., Holland-Letz T., “A Geometric Characterization of $c$-Optimal Designs for Heteroscedastic Regression”, Ann. Statist., 37 (2009), 4088–4103 | DOI | MR | Zbl
[3] Brown L. D., Levine M., “Variance Estimation in Nonparametric Regression via the Difference Sequence Method”, Ann. Statist., 35:5 (2007), 2219–2232 | DOI | MR | Zbl
[4] Wang L., Brown L. D., Cai T. T., Levine M., “Effect of Mean on Variance Function Estimation in Nonparametric Regression”, Ann. Statist., 36:2 (2008), 646–664 | DOI | MR | Zbl
[5] Seber G., Lee A., Linear Regression Analysis, Wiley, 2003 | MR | Zbl
[6] Carrol R. J., Ruppert D., “A Comparison Between Maximum Likelihood and Generalized Least Squares in Heteroscedastic Linear Model”, J. Amer. Stat. Assoc., 77 (1982), 878–882 | DOI | MR | Zbl
[7] Yu. Yu. Linke, A. I. Sakhanenko, “Asymptotically optimal estimation in the linear regression problem in the case of violation of some classical assumptions”, Sib. Math. J., 2:2 (2009), 302–315 | DOI | MR | Zbl
[8] I. S. Borisov, “Stability of the partial sum process of residuals in a multiple linear regression model”, SEMR, 10 (2013), 727–732 (Russian, English abstract)
[9] Hoeffding W., “On the Distribution of the Expected Values of the Order Statistics”, Ann. Math. Statist., 24:1 (1953), 93–100 | DOI | MR | Zbl
[10] I. S. Borisov, “On the sum of the variances of the order statistics for samples of dependent observations”, SEMR, 11 (2014), 857–862 (Russian, English abstract)
[11] Yu. Yu. Linke, “On the asymptotics of distributions of two-step statistical estimates”, Sib. Math. J., 52:4 (2011), 665–681 | DOI | MR | Zbl
[12] Yu. Yu. Linke, A. I. Sakhanenko, “On asymptotics of the distribution of a two-step statistical estimator of a one-dimensional parameter”, SEMR, 10 (2013), 627–640 (Russian, English abstract) | Zbl
[13] Hajek J., Sidak Z., Theory of Rank Tests, Academic Press, 1967 | MR | Zbl
[14] Petrov V. V., Sums of Independent Random Variables, Springer-Verlag, 1975 | MR | Zbl
[15] S. A. Utev, “Sums of random variables under the $\varphi$-mixing”, Asymptotic Analysis of the Distributions of Stochastic Processes, Nauka, Novosibirsk, 1989 (in Russian)