شماره ركورد كنفرانس :
3140
عنوان مقاله :
Some Results for Discrete Strong Unimodality of Order Statistics with Applications
عنوان به زبان ديگر :
Some Results for Discrete Strong Unimodality of Order Statistics with Applications
پديدآورندگان :
Alimohammadi M نويسنده Naghshe Jahan Higher Education Institute - Isfahan , Esnaashari M نويسنده Naghshe Jahan Higher Education Institute - Isfahan , Alamatsazo M.H نويسنده Department of Statistics - University of Isfahan
كليدواژه :
Total positivity , Geometric distribution , Strong unimodality , Order statistics , Failure rate function , PARALLEL SYSTEM
عنوان كنفرانس :
يازدهمين كنفرانس آمار ايران
چكيده لاتين :
It is known that order statistics (OSs) appear in many areas of statistical theory and applications including quality control, robustine lier detection, and reliability analysis. Unimodality of OSs for both di and continuous cases and their strong unimodality only for continuous case have been investigated by some authors. In this article, we shall first establish the strong unimodality of OSs in discrete case by means of the notion of total positivity. Then, we shall apply this result to give an application in IFR property. Finally, by using these results, we shall show that the IFR, and DFR, classes are not closed under the formation of coherent systems in the discrete life distribution case.
شماره مدرك كنفرانس :
4219389
