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.
