Abstract
In this paper, we compare the weighted models proposed by Rao [9] and Bhattacharjee et al. [4] to assess the aging phenomena played by the two weighted frameworks. We examine the role of weight function in the two approaches using different stochastic orders that exist among the weighted and baseline random variables. We prove that the weighted failure rate model serves as a better option in capturing aging phenomena. We obtain some bounds for the difference between the aging functions of a weighted model and its baseline and study the importance of weighted failure rate model on closure properties in the formation of coherent system. We also propose a method for generating new probability distributions by a selective choice of weight function.
