TY - JOUR
T1 - Likelihood ratio order of m-spacings for two samples
AU - Xu, Maochao
AU - Li, Xiaohu
PY - 2006/12/1
Y1 - 2006/12/1
N2 - For two non-negative random variables X and Y, it is shown that if X is smaller than Y in the sense of the likelihood ratio order and either X or Y is of decreasing likelihood ratio, then the m-spacing Vk : n(m) of an X-sample is smaller than Wk : n(m), the m-spacing of a Y-sample, in terms of the likelihood ratio order. It is also proved that a similar result for the upshifted likelihood ratio order is valid. Finally, it is proved that the decreasing failure rate in average property of a population X is preserved by sample spacing Vk : n(1).
AB - For two non-negative random variables X and Y, it is shown that if X is smaller than Y in the sense of the likelihood ratio order and either X or Y is of decreasing likelihood ratio, then the m-spacing Vk : n(m) of an X-sample is smaller than Wk : n(m), the m-spacing of a Y-sample, in terms of the likelihood ratio order. It is also proved that a similar result for the upshifted likelihood ratio order is valid. Finally, it is proved that the decreasing failure rate in average property of a population X is preserved by sample spacing Vk : n(1).
KW - DLR
KW - TP
KW - Up shifted likelihood ratio order
UR - http://www.scopus.com/inward/record.url?scp=33746821424&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33746821424&partnerID=8YFLogxK
U2 - 10.1016/j.jspi.2005.08.047
DO - 10.1016/j.jspi.2005.08.047
M3 - Article
AN - SCOPUS:33746821424
SN - 0378-3758
VL - 136
SP - 4250
EP - 4258
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 12
ER -