Information inequalities for the minimax risk of sequential estimators (with applications)
Applicationes Mathematicae, Tome 25 (1999) no. 1, pp. 85-100
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Information inequalities for the minimax risk of sequential estimators are derived in the case where the loss is measured by the squared error of estimation plus a linear functional of the number of observations. The results are applied to construct minimax sequential estimators of: the failure rate in an exponential model with censored data, the expected proportion of uncensored observations in the proportional hazards model, the odds ratio in a binomial distribution and the expectation of exponential type random variables.
DOI :
10.4064/am-25-1-85-100
Keywords:
odds ratio, information inequalities, censored data, minimax estimation, proportional hazard model
Affiliations des auteurs :
Lesław Gajek 1 ; B. Mizera-Florczak 1
@article{10_4064_am_25_1_85_100,
author = {Les{\l}aw Gajek and B. Mizera-Florczak},
title = {Information inequalities for the minimax risk of sequential estimators (with applications)},
journal = {Applicationes Mathematicae},
pages = {85--100},
year = {1999},
volume = {25},
number = {1},
doi = {10.4064/am-25-1-85-100},
zbl = {0895.62083},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-25-1-85-100/}
}
TY - JOUR AU - Lesław Gajek AU - B. Mizera-Florczak TI - Information inequalities for the minimax risk of sequential estimators (with applications) JO - Applicationes Mathematicae PY - 1999 SP - 85 EP - 100 VL - 25 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-25-1-85-100/ DO - 10.4064/am-25-1-85-100 LA - en ID - 10_4064_am_25_1_85_100 ER -
%0 Journal Article %A Lesław Gajek %A B. Mizera-Florczak %T Information inequalities for the minimax risk of sequential estimators (with applications) %J Applicationes Mathematicae %D 1999 %P 85-100 %V 25 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/am-25-1-85-100/ %R 10.4064/am-25-1-85-100 %G en %F 10_4064_am_25_1_85_100
Lesław Gajek; B. Mizera-Florczak. Information inequalities for the minimax risk of sequential estimators (with applications). Applicationes Mathematicae, Tome 25 (1999) no. 1, pp. 85-100. doi: 10.4064/am-25-1-85-100
Cité par Sources :