On the Generalized Bilal Distribution: Some Properties and Estimation under Ranked Set Sampling

The generalized Bilal (GB) distribution can be defined as the of median three independent random variables drawn from Weibull distribution. Its failure rate function monotonic (decreasing or increasing) upside-down bathtub-shaped. In this study, we aim to reveal some important properties GB that have not been considered before. findings are both theoretical and practical. From viewpoint, present explicit expressions for single product moments order statistics L-moments derived well. practical parameter estimations accomplished using maximum likelihood (ML) method, which is based on two different sampling schemes: simple (SRS) ranked set (RSS) schemes. Furthermore, asymptotic confidence intervals SRS RSS estimators discussed. For sake comparison illustration, a simulation study real data example presented. Concluding remarks given at end.