Reversed hazard rate order of inactivity times and the related aging classes of life distributions
Publish place: Fourth International Conference on Modern Research in Engineering Sciences and Technology
Publish Year: 1394
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
NSOECE04_122
تاریخ نمایه سازی: 9 مرداد 1395
Abstract:
In this paper, we study some basic interrelation and a few preservation properties of the reversed hazard rate order of the inactivity times, under reliability operations of mixture and convolution. It is also shown that the hazard rate order of the parent distributions is a sufficient condition for the preservation of the new order by the smallest order statistics. By utilizing this new stochastic comparison, a new aging class of life distributions is derived along with some basic developments involving it
Keywords:
Inactivity time , Reversed hazard rate order , Convolution , Mixture , Weighted distributions , Life testing
Authors
Mojtaba Esfahani
Department of Statistics, Velayat University of Iranshahr