Estimation of Reliability in Multicomponent StressStrength Model Following Burr Type XII Distribution under Selective Ranked Set Sampling

The stress-strength model for system reliability for multicomponent system when a device under consideration\ud is a combination of usually independent components with strengths 1\ud , 2\ud , … , and each component\ud experiencing a common stress . The system is regarded as alive if at least out of < strengths exceed\ud the stress. The reliability of such system is obtained when the stress and strengths are assumed to have Burr XII\ud distributions with common shape parameter(). The research methodology adapted here is to estimate the\ud parameters by using maximum likelihood method. Based on different types of ranked set sampling, the\ud reliability estimators are obtained when samples drawn from strength and stress distributions. Efficiencies of\ud reliability estimators based on ranked set sampling, median ranked set sampling, extreme ranked set sampling\ud and percentile ranked set sampling are calculated with respect to reliability estimators based on simple random\ud sampling procedure