Reliability inference with extended sequential order statistics

In this article, we will address the complexity of non-identical components in multi-component systems. Most technical systems can be described as such since either component types or functions within system vary amongst components. While most reliability related work resorts to assumption homogeneous components, aim often more realistic heterogeneous extending model Extended Sequential Order Statistics by two inferential methods. Firstly, derivation Maximum Likelihood Estimates including a simulation study demonstrating their good performance for large enough sample size. Secondly, introduce likelihood ratio test whether assumed identical accompanied power study. Both methods are powerful tools contexts. The former increases our understanding behaviour, especially upon failure other This knowledge empowers operators make better decisions regarding maintenance schedules and time prediction. latter supports quest identifying equivalence. Therefore, both used achieve meaningful results real life applications.