Geodesic
Bahadur efficiency of the Watson–Darling goodness-of-fit tests
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 138-145 
Ya. Yu. Nikitin. Bahadur efficiency of the Watson–Darling goodness-of-fit tests. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 138-145. http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a13/
@article{ZNSL_1987_158_a13,
     author = {Ya. Yu. Nikitin},
     title = {Bahadur efficiency of the {Watson{\textendash}Darling} goodness-of-fit tests},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {138--145},
     year = {1987},
     volume = {158},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a13/}
}
TY  - JOUR
AU  - Ya. Yu. Nikitin
TI  - Bahadur efficiency of the Watson–Darling goodness-of-fit tests
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1987
SP  - 138
EP  - 145
VL  - 158
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a13/
LA  - ru
ID  - ZNSL_1987_158_a13
ER  - 
%0 Journal Article
%A Ya. Yu. Nikitin
%T Bahadur efficiency of the Watson–Darling goodness-of-fit tests
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 138-145
%V 158
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a13/
%G ru
%F ZNSL_1987_158_a13

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The rough asymptotic behavior of the probability of large deviations is found for Watson–Darling goodness-of-fit tests, which are “centered” versions of Kolomogorov-Smirnov statistics. Their Bahadur effectiveness is calculated and conditions for local asymptotic optimality for the alternative of translation are studied.