Asymptotically stable estimators of location and scale parameters I. Estimation of location parameter

Tomasz Rychlik. "Asymptotically stable estimators of location and scale parameters I. Estimation of location parameter." Mathematica Applicanda 16.30 (1987): null. <http://eudml.org/doc/293215>.

@article{TomaszRychlik1987,
abstract = {A sequence of equivariant estimators of a location parameter, which is asymptotically most robust with respect to bias oscillation function, is derived for two types of disturbances: e-contamination and Kolmogorov-Levy neighbourhoods. The sequence consists of properly chosen order statistics modified by adding a constant. As examples, the most bias-robust estimators for unimodal symmetric, Weibull, double-exponential and beta distributions are presented.},
author = {Tomasz Rychlik},
journal = {Mathematica Applicanda},
keywords = {Robustness and adaptive procedures},
language = {eng},
number = {30},
pages = {null},
title = {Asymptotically stable estimators of location and scale parameters I. Estimation of location parameter},
url = {http://eudml.org/doc/293215},
volume = {16},
year = {1987},
}

TY - JOUR
AU - Tomasz Rychlik
TI - Asymptotically stable estimators of location and scale parameters I. Estimation of location parameter
JO - Mathematica Applicanda
PY - 1987
VL - 16
IS - 30
SP - null
AB - A sequence of equivariant estimators of a location parameter, which is asymptotically most robust with respect to bias oscillation function, is derived for two types of disturbances: e-contamination and Kolmogorov-Levy neighbourhoods. The sequence consists of properly chosen order statistics modified by adding a constant. As examples, the most bias-robust estimators for unimodal symmetric, Weibull, double-exponential and beta distributions are presented.
LA - eng
KW - Robustness and adaptive procedures
UR - http://eudml.org/doc/293215
ER -