TY - JOUR
T1 - Test for New Better than Used in Convex ordering
AU - Li, Xiaohu
AU - Zhong, Chengkui
AU - Jing, Bingyi
PY - 2000/12
Y1 - 2000/12
N2 - Class of life distributions which are new better than used in convex ordering (NBUC) is dealt with. A probabilistic characterization is introduced to measure the degree of NBUC-ness. A nonparametric procedure is also developed to test the exponentiality against the strict NBUC property, therein, the theory of U-statistics and jackknife is utilized to establish the asymptotic normality of the test statistic. Furthermore, Edgeworth expansion and bootstrap are employed to improve the accuracy of the approximation. Some numerical simulations on the power are presented as a demonstration for the proposed procedure.
AB - Class of life distributions which are new better than used in convex ordering (NBUC) is dealt with. A probabilistic characterization is introduced to measure the degree of NBUC-ness. A nonparametric procedure is also developed to test the exponentiality against the strict NBUC property, therein, the theory of U-statistics and jackknife is utilized to establish the asymptotic normality of the test statistic. Furthermore, Edgeworth expansion and bootstrap are employed to improve the accuracy of the approximation. Some numerical simulations on the power are presented as a demonstration for the proposed procedure.
KW - Bootstrap
KW - Edgeworth expansion
KW - Jackknife
KW - NBUC
UR - http://www.scopus.com/inward/record.url?scp=30844452474&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=30844452474&partnerID=8YFLogxK
U2 - 10.1080/03610920008832634
DO - 10.1080/03610920008832634
M3 - Article
AN - SCOPUS:30844452474
SN - 0361-0926
VL - 29
SP - 2751
EP - 2760
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 12
ER -