TY - JOUR
T1 - Outer and Inner Confidence Intervals Based on Extreme Order Statistics in a Proportional Hazard Model
TT - فواصل اطمینان بیرونی و درونی بر اساس آمارههای مرتب کرانگین در مدل نرخ خطر متناسب
JF - JIRSS
JO - JIRSS
VL - 6
IS - 1
UR - http://jirss.irstat.ir/article-1-217-en.html
Y1 - 2007
SP - 1
EP - 16
KW - Coverage probability
KW - proportional hazard model
KW - Quantile difference
KW - Quantile interval
KW - tolerance interval.
N2 - 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.
M3
ER -