Title of article :
Some New Results on the Preservation of Stochastic Orders and Aging Classes under Random Minima and Maxima
Author/Authors :
salehi, ebrahim birjand university of technology - department of industrial engineering, Birjand, Iran , gholami, ezzatollah birjand university of technology - department of basic sciences, Birjand, Iran
Abstract :
In this paper, we obtain some results on preservation properties of the moment-generating-function and Laplace transform orders under the taking of random minima and maxima. Also, the reversed preservation of these stochastic orders is studied. In following, we investigate the closure of some new certain aging classes under the random minima and maxima.
Keywords :
Random minima (maxima) , Life distribution class , Series (Parallel) system , Stochastic order , Reliability
Journal title :
Journal of Statistical Research of Iran
Journal title :
Journal of Statistical Research of Iran