Parameter Estimation for Kumaraswamy Weibull Distribution Under Ranked Set Sampling

In this study, modified maximum likelihood (MML) estimators for the location and scale parameters of the Kumaraswamy Weibull (Kw-Weibull) distribution are derived based on ranked set sampling (RSS) method under the assumption of known shape parameters, see Tiku (1967, 1968) in the context of MML methodology. MML estimators based on RSS are compared with the traditional maximum likelihood (ML) estimators based on simple random sampling (SRS) via Monte-Carlo simulation study in terms of bias, mean squares error (MSE) and relative efficiency (RE) criteria. According to the results of the simulation study, MML estimators based on RSS are found to be more efficient than the ML estimators based on SRS in most of the simulation scenarios.