In this study, we consider the estimator based on percentiles for log-logistic distribution similar to the study of [6] and we also graph breakdown plots of the estimators that are considered below to have an opinion about robustness properties. The estimator based on percentiles is explicit functions of sample percentiles, thus, easy to compute and do not involve any iterative computational complexities like Maximum likelihood estimator (MLE). The simulation results show that the considered estimator performs better than MLE for small sample sizes.
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