TY  - JOUR
A1  - Baringhaus, Ludwig
A1  - Gaigall, Daniel
T1  - On an asymptotic relative efficiency concept based on expected volumes of confidence regions
JF  - Statistics - A Journal of Theoretical and Applied Statistic
N2  - The paper deals with an asymptotic relative efficiency concept for confidence regions of multidimensional parameters that is based on the expected volumes of the confidence regions. Under standard conditions the asymptotic relative efficiencies of confidence regions are seen to be certain powers of the ratio of the limits of the expected volumes. These limits are explicitly derived for confidence regions associated with certain plugin estimators, likelihood ratio tests and Wald tests. Under regularity conditions, the asymptotic relative efficiency of each of these procedures with respect to each one of its competitors is equal to 1. The results are applied to multivariate normal distributions and multinomial distributions in a fairly general setting.
KW  - Volume of confidence regions
KW  - asymptotic relative efficiency
KW  - likelihood ratio test
KW  - multivariate normal distribution
KW  - multinomial distribution
Y1  - 2019
U6  - https://doi.org/10.1080/02331888.2019.1683560
SN  - 1029-4910
VL  - 53
IS  - 6
SP  - 1396
EP  - 1436
PB  - Taylor & Francis
CY  - London
ER  - 
TY  - CHAP
A1  - Zingsheim, Jonas
A1  - Grimmer, Timo
A1  - Ortner, Marion
A1  - Schmaderer, Christoph
A1  - Hauser, Christine
A1  - Kotliar, Konstantin
ED  - Staat, Manfred
ED  - Erni, Daniel
T1  - Recognition of subjects with mild cognitive impairment (MCI) by the use of retinal arterial vessels.
T2  - 3rd YRA MedTech Symposium 2019 : May 24 / 2019 / FH Aachen
Y1  - 2019
SN  - 978-3-940402-22-6
U6  - https://doi.org/10.17185/duepublico/48750
SP  - 36
EP  - 37
PB  - Universität Duisburg-Essen
CY  - Duisburg
ER  - 
TY  - BOOK
A1  - Staat, Manfred
A1  - Erni, Daniel
T1  - Symposium Proceedings; 3rd YRA MedTech Symposium 2019: May 24 / 2019 / FH Aachen
Y1  - 2019
SN  - 978-3-940402-22-6
U6  - https://doi.org/10.17185/duepublico/48750
PB  - Universität Duisburg-Essen
CY  - Duisburg
ER  -