Reduction of the dimension in the linear model with stochastic regressors
Commentationes Mathematicae Universitatis Carolinae (1984)
- Volume: 025, Issue: 4, page 747-761
- ISSN: 0010-2628
Access Full Article
topHow to cite
topJahn, Walter, and Riedel, Marko. "Reduction of the dimension in the linear model with stochastic regressors." Commentationes Mathematicae Universitatis Carolinae 025.4 (1984): 747-761. <http://eudml.org/doc/17356>.
@article{Jahn1984,
author = {Jahn, Walter, Riedel, Marko},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {dimension reduction; linear model; stochastic regressors; multicollinearity; subset regression; mean square error of extrapolation},
language = {eng},
number = {4},
pages = {747-761},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Reduction of the dimension in the linear model with stochastic regressors},
url = {http://eudml.org/doc/17356},
volume = {025},
year = {1984},
}
TY - JOUR
AU - Jahn, Walter
AU - Riedel, Marko
TI - Reduction of the dimension in the linear model with stochastic regressors
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 4
SP - 747
EP - 761
LA - eng
KW - dimension reduction; linear model; stochastic regressors; multicollinearity; subset regression; mean square error of extrapolation
UR - http://eudml.org/doc/17356
ER -
References
top- Anděl J., Fitting models in time series analysis, Math. Operationsforsch, Statist., Ser. Statistics Vol. 13, No. 1, (1982), 121-14З. (1982) MR0665069
- Akaike H., Statistical predictor identification, Ann. Inst. Statist. Math. 22, (1970), 203-217. (1970) Zbl0259.62076MR0286233
- Akaike H., Information theory and an extension of the m 1 principle in 2nd Int. Symposium on Information Theory, Eds. Petrov, (1973) Csáki. 267-281 Budapest; Akademiai Kiadó. (1973) MR0483125
- Akaike H., A new look at the statistical model identification, I. E. E. E. Trans. Auto Control. 19, (1974), 716-723. (19,) MR0423716
- Akaike H., On entropy maximation principle, Application of statistics. P. P. Krishnaiah ed. North Holland, Amsterdam, (1977), 27-41. (1977) MR0501456
- Akaike H., A Bayesian analysis of the minimum AIC procedure, Ann. Inst. Statist. Math. AЗ0, (1978), 9-14. (1978) Zbl0441.62007MR0507075
- Bierens H. J., Consistent selection of explanatory variable, Stichting voor Economisch Onderzoek der Universiteit van Amsterdam, Seo Overdruck 1., (1980). (1980) MR0588304
- Eaton M. L., Perleman, The nonsingularity of generalized sample covariance matrices, The Annals of Statistics Vol. 1 No. 4, (1973), 710-717. (1973) MR0341745
- Nocking R. R., The analysis and selection of variables in linear regression, Biometrics 62, (1976), 1-49. (1976) MR0398008
- Jahn W., Dimensionserniedrigung von Parameterräumen in linearen Modell mit stochastischen Regressoren, To appear in: Sitzungsberichte der IGMS der Math. Gesellschaft der DDR, (1984). (1984)
- Kshirsagar A. M., Multivariate Analysis, Marcel Dekker, New York, (1972). (1972) Zbl0246.62064MR0343478
- Mallows C. L., Some comments on Cp, Technometrics 15, (1973), 213-220. (1973)
- Okamoto M., Distinctness of the eigenvalues of a quadratic form in a multivariate sample, The Annals of Statistics Vol. 1 , No 4, (1973), 763-765. (1973) Zbl0261.62043MR0331643
- Olikwe V. I., On the relationship between the sample size and the number of variables in a linear regression model, Commun. Statist. A7 (6), (1978), 509-516. (1978) MR0514237
- Park H. Sing, Collinearity and opt. restriction on regression parameters for estimating responses, Technometrics 23, 3, (1981), 289-295. (1981) MR0629969
- Schwarz G., Estimating the dimension of a model, The Annals of Statistics Vol. 6, No 2, (1978), 461-464. (1978) Zbl0379.62005MR0468014
- Shibata R., Asymptotically efficient selection of the order of the model for estimating parameters of a lin. process, The Annals of Statistics Vol. 8 No 1, (1980), 45-54. (1980) MR0557560
- Shibata R., An optimal selection of regression variables Biometrika, 68, 1, (1981), 45-54. (1981) MR0614940
- Stein C. M., Multivariate Analysis I, Technical report No 42, Dep. of Statist., Stanford University, (1969). (1969)
- Stone M., Comments on model selection criteria of Akaike and Schwarz, J. R. Statist. Soc. B 41; (1979), 276-278. (1979)
- Sugiura N., Further analysis of the data by Akaike, Commun. Statist. A 7, (1978), 13-26. (1978) Zbl0382.62060
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.