Some Characterization Based Exponentiality Tests and Their Bahadur Efficiencies
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 107
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We propose new exponentiality tests based on a recent characterization. We construct integral and Kolmogorov-type statistics, derive their asymptotics and calculate the Bahadur efficiency against some common alternatives. We also obtain a class of locally optimal alternatives for each test. In case of small samples tests are compared with some common exponentiality tests.
Classification :
62G10, 62G20, 62G30
Keywords: goodness-of-fit tests, order statistics, Bahadur efficiency, $U$-statistics
Keywords: goodness-of-fit tests, order statistics, Bahadur efficiency, $U$-statistics
@article{10_2298_PIM1614107M,
author = {Bojana Milo\v{s}evi\'c and Marko Obradovi\'c},
title = {Some {Characterization} {Based} {Exponentiality} {Tests} and {Their} {Bahadur} {Efficiencies}},
journal = {Publications de l'Institut Math\'ematique},
pages = {107 },
year = {2016},
volume = {_N_S_100},
number = {114},
doi = {10.2298/PIM1614107M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1614107M/}
}
TY - JOUR AU - Bojana Milošević AU - Marko Obradović TI - Some Characterization Based Exponentiality Tests and Their Bahadur Efficiencies JO - Publications de l'Institut Mathématique PY - 2016 SP - 107 VL - _N_S_100 IS - 114 UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM1614107M/ DO - 10.2298/PIM1614107M LA - en ID - 10_2298_PIM1614107M ER -
%0 Journal Article %A Bojana Milošević %A Marko Obradović %T Some Characterization Based Exponentiality Tests and Their Bahadur Efficiencies %J Publications de l'Institut Mathématique %D 2016 %P 107 %V _N_S_100 %N 114 %U http://geodesic.mathdoc.fr/articles/10.2298/PIM1614107M/ %R 10.2298/PIM1614107M %G en %F 10_2298_PIM1614107M
Bojana Milošević; Marko Obradović. Some Characterization Based Exponentiality Tests and Their Bahadur Efficiencies. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 107 . doi: 10.2298/PIM1614107M
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