## Detail publikace

### Víšek, J. Á. : Diagnostics of robust identification of model

Autor: prof. RNDr. Jan Ámos Víšek CSc., Články v impaktovaných časopisech 2014 0 0972-3617 Advances and Applications in Statistics 43, 119 - 161. 211 002, INDIA Significance of explanatory variable, robustness, the least weighted squares University of Allahabad, 62J05, 62J The possibility to assess the significance of individual explanatory variable in the regression model belongs among the basic diagnostic tools of data analysis. The paper studies the problem for the {\it least weighted squares} - a generalization of the {\it (ordinary) least squares} as well as of the {\it least median of squares} or the {\it least trimmed squares}. The paper at first shows how to cope theoretically with the problem and then by the numerical simulations demonstrates that the corresponding quantiles converge with the increasing sample size to a limit value, which is nearly identical with the Student's quantiles for the respective sample sizes
Srpen 2022
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