Analysis of ℝ=P[Y<X<Z] Using Ranked Set Sampling for a Generalized Inverse Exponential Model

In many real-world situations, systems frequently fail due to demanding operating conditions. particular, when reach their lowest, highest, or both extremes conditions, they usually accomplish intended functions. This study considers estimating the stress–strength reliability, for a component with strength (X) that is independent of opposing lower bound stress (Y) and upper (Z). We assumed random variables followed generalized inverse exponential distribution different shape parameters. Under ranked set sampling (RSS) simple (SRS) designs, we obtained four reliability estimators using maximum likelihood method. The first second were deduced sample data distributions used design (RSS/SRS). third estimator was determined Y Z received from RSS X taken SRS. fourth derived selected SRS, while RSS. accuracy suggested compared comprehensive computer simulation. Lastly, three real sets determine reliability.