<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We investigate nonparametric estimators of zeros of a regression function and its derivatives and we derive the distribution of design points minimizing the expected width of a confidence interval and the expected variance of the proposed estimator.</p></abstract>

We investigate nonparametric estimators of zeros of a regression function and its derivatives and we derive the distribution of design points minimizing the expected width of a confidence interval and the expected variance of the proposed estimator.

Optimal designs for nonparametric estimation of zeros of regression functions

Charles University in Prague Faculty of Mathematics and Physics Department of Statistics Sokolovsk´a 83 CZ–18600-Prague 8 CZECH REPUBLIC

Tatra Mountains Mathematical Publications

{"article-title":"Optimal designs for nonparametric estimation of zeros of regression functions"}

We investigate nonparametric estimators of zeros of a regression function and its derivatives and we derive the distribution of design points minimizing the...

Optimal designs for nonparametric estimation of zeros of regression functions

Published Online: Nov 13, 2012

Page range: 55 - 65

DOI: https://doi.org/10.2478/v10127-012-0006-z

Keywords
empirical zero, location of maximum, nonparametric regression, regression mode, optimal design.

This content is open access.

Optimal designs for nonparametric estimation of zeros of regression functions

Published Online: Nov 13, 2012

Page range: 55 - 65

DOI: https://doi.org/10.2478/v10127-012-0006-z

Keywordsempirical zero, location of maximum, nonparametric regression, regression mode, optimal design.

This content is open access.

Keywords
empirical zero, location of maximum, nonparametric regression, regression mode, optimal design.