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Showing 2 results for order Statistics
Ghobad Barmalzan, Abedin Haidari,
Volume 13, Issue 2 (2-2020)
Abstract
This paper examines the problem of stochastic comparisons of series and parallel systems with independent and heterogeneous components generalized linear failure rate. First, we consider two series system with possibly different parameters and obtain the usual stochastic order between the series systems. Next, we drive the usual stochastic order between parallel systems. We also discuss the usual stochastic order between parallel systems by using the unordered majorization and the weighted majorization order between the parameters on the Ɗп.
Dr. Mahdi Alimohammadi, Mrs. Rezvan Gharebaghi,
Volume 19, Issue 2 (4-2025)
Abstract
It was proved about 60 years ago that if a continuous random variable X has an increasing failure rate then its order statistics will also be increasing failure rate, and this problem remained unproved for the discrete case until recently a proof method using an integral inequality was provided. In this article, we present a completely different method to solve this problem.
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