RT - Journal Article
T1 - Outer and Inner Confidence Intervals Based on Extreme Order Statistics in a Proportional Hazard Model
JF - JIRSS
YR - 2007
JO - JIRSS
VO - 6
IS - 1
UR - http://jirss.irstat.ir/article-1-217-en.html
SP - 1
EP - 16
K1 - Coverage probability
K1 - proportional hazard model
K1 - Quantile difference
K1 - Quantile interval
K1 - tolerance interval.
AB - Let Mi and Mi be the maximum and minimum of the ith sample from k independent sample with different sample sizes, respectively. Suppose that the survival distribution function of the ith sample is F ̄i = F ̄αi, where αi is known and positive constant. It is shown that how various exact non-parametric inferential proce- ′ dures can be developed on the basis of Mi’s and Mi ’s for distribution function F without any assumptions about it other than F is continuous. These include outer and inner confidence intervals for quantile intervals and upper and lower confidence limits for quantile differences. Three schemes have been investigated and in each case, the associated confidence coefficients are obtained. A numerical example is given in order to illustrate the proposed procedure.
LA eng
UL http://jirss.irstat.ir/article-1-217-en.html
M3
ER -