Modified maximum likelihood estimators using ranked set sampling

@article{Balci2013ModifiedML,
  title={Modified maximum likelihood estimators using ranked set sampling},
  author={Sibel Balci and Aysen D. Akkaya and B. Emre Ulgen},
  journal={J. Computational Applied Mathematics},
  year={2013},
  volume={238},
  pages={171-179}
}
The closed-form maximum likelihood estimators (MLEs) of population mean and variance under ranked set sampling (RSS) do not exist since the likelihood equations involve nonlinear functions and have usually no explicit solutions. We derive modified maximum likelihood (MML) estimators for the population mean and variance under RSS and show that they are considerably more efficient than RSS estimators. Furthermore, we suggest two new estimators for the unknown parameters using two modified ranked… CONTINUE READING

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