Statistical Inference in Dependent Component Hybrid Systems with Masked Data

摘要

Complex systems are usually composed of simple hybrid systems. In this paper,we consider statistical inference for two fundamental hybrid systems: series-paralleland parallel-series systems based on masked data. Assuming dependent lifetimes ofcomponents modelled by Marshall and Olkin’s bivariate exponential distribution inthe system, we present maximum likelihood and interval estimation of parameters ofinterest. Intensive simulation studies are performed to demonstrate the efficiency ofthe methods.