شماره ركورد كنفرانس :
3224
عنوان مقاله :
Inference of R = P[X < Y ] for proportional reversed hazard rate model
پديدآورندگان :
Babayi Salman Department of Statistics - Faculty of Mathematics and Computer Science - Amirkabir University of Technology (Tehran Polytechnic) , Khorram Esmaeile Department of Statistics - Faculty of Mathematics and Computer Science - Amirkabir University of Technology (Tehran Polytechnic)
كليدواژه :
Proportional reversed hazard rate model , Maximum likelihood estimator , Bayes estimator , Generalized logistic distribution
سال انتشار :
ارديبهشت 1395
عنوان كنفرانس :
دومين سمينار تخصصي نظريه قابليت اعتماد و كاربردهاي آن
چكيده لاتين :
The proportional reversed hazard rate model (PRHRM) has been extensively used
in the literature to model failure time data. This paper deals with the estimation
of R = P[X < Y ] when X and Y are two independent the PRHRM with different
parameters. The maximum likelihood estimator of R is proposed. Assuming that
the common scale parameter is known, the maximum likelihood estimator, uniformly
minimum variance unbiased estimator, Bayes estimation and confidence interval of R
are obtained. Finally, Analysis of a real data set has also been presented for illustrative
purposes.