Geodesic
A note on stochastic ordering of estimators of exponential reliability
Piotr Nowak1
1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 485-494 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Recently Balakrishnan and Iliopoulos [Ann. Inst. Statist. Math. 61 (2009)] gave sufficient conditions under which the maximum likelihood estimator (MLE) is stochastically increasing. In this paper we study test plans which are not considered there and we prove that the MLEs for those plans are also stochastically ordered. We also give some applications to the estimation of reliability.
DOI : 10.4064/am38-4-7
Keywords: recently balakrishnan iliopoulos ann inst statist math gave sufficient conditions under which maximum likelihood estimator mle stochastically increasing paper study test plans which considered there prove mles those plans stochastically ordered applications estimation reliability

Piotr Nowak 1

1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
@article{10_4064_am38_4_7,
     author = {Piotr Nowak},
     title = {A note on stochastic ordering of estimators
 of exponential reliability},
     journal = {Applicationes Mathematicae},
     pages = {485--494},
     year = {2011},
     volume = {38},
     number = {4},
     doi = {10.4064/am38-4-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am38-4-7/}
}
TY  - JOUR
AU  - Piotr Nowak
TI  - A note on stochastic ordering of estimators
 of exponential reliability
JO  - Applicationes Mathematicae
PY  - 2011
SP  - 485
EP  - 494
VL  - 38
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am38-4-7/
DO  - 10.4064/am38-4-7
LA  - en
ID  - 10_4064_am38_4_7
ER  - 
%0 Journal Article
%A Piotr Nowak
%T A note on stochastic ordering of estimators
 of exponential reliability
%J Applicationes Mathematicae
%D 2011
%P 485-494
%V 38
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/am38-4-7/
%R 10.4064/am38-4-7
%G en
%F 10_4064_am38_4_7
Piotr Nowak. A note on stochastic ordering of estimators
 of exponential reliability. Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 485-494. doi: 10.4064/am38-4-7

Cité par Sources :