Hazard rate ordering of order statistics and systems
نویسندگان
چکیده
منابع مشابه
Hazard Rate Ordering of Order Statistics and Systems
Let X = (X1, X2, . . . , Xn) be an exchangeable random vector, and write X(1:i) = min{X1, X2, . . . , Xi}, 1 ≤ i ≤ n. In this paper we obtain conditions under which X(1:i) decreases in i in the hazard rate order. A result involving more general (that is, not necessarily exchangeable) random vectors is also derived. These results are applied to obtain the limiting behaviour of the hazard rate fu...
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چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولOn the reversed hazard rate of sequential order statistics
Sequential order statistics can be used to describe the lifetime of a system with n components which works as long as k components function assuming that failures possibly affect the lifetimes of remaining units. In this work, the reversed hazard rates of sequential order statistics are examined. Conditions for the reversed hazard rate ordering and the decreasing reversed hazard rate property o...
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2006
ISSN: 0021-9002
DOI: 10.1239/jap/1152413730