Use of stochastic orders and statistical dependence in error analysis for multi-component system

Abstract: In this paper, we analyze the relative errors that crop up in the various reliability measures due to the tacit assumption that the components are independently working associated with a $n$-component series system or a parallel system where the components are dependent and follow a well-defined multivariate Weibull or exponential distribution. We also list some important observations which the previous authors have not noted in their earlier works. In this paper, we focus on the incurred error in multi-component series and parallel systems having multivariate Weibull distributions. In the upcoming sections, we establish that the present study has relevance with stochastic orders and statistical dependence which were not previously pointed out by previous authors.