Estimation of parameters of the exponentiated Pareto distribution using ranked set sampling | ||||
| التجارة والتمويل | ||||
| Article 16, Volume 42, Issue 2, June 2022, Page 130-148 PDF (1.66 MB) | ||||
| DOI: 10.21608/caf.2022.246327 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Nasr Ibrahim Rashwan Nasr Abu Zaid; Maha Tawfic | ||||
| Faculty of Commerce, Tanta University | ||||
| Abstract | ||||
| In this article, the maximum likelihood estimation method is used to estimate the unknown parameters of the exponentiated Pareto distribution based on ranked set sampling (RSS), median Ranked set sampling (MRSS) and simple random sample (SRS). Comparison between estimators of these techniques is made Through simulation study using some criteria: biases, mean square errors and the relative efficiency. At the same sample size, the study concluded that the estimators based on RSS and MRSS are more efficient than those obtained by the SRS. In this article, the maximum likelihood estimation method is used to estimate the unknown parameters of the exponentiated Pareto distribution based on ranked set sampling (RSS), median Ranked set sampling (MRSS) and simple random sample (SRS). Comparison between estimators of these techniques is made Through simulation study using some criteria: biases, mean square errors and the relative efficiency. At the same sample size, the study concluded that the estimators based on RSS and MRSS are more efficient than those obtained by the SRS. | ||||
| Keywords | ||||
| Maximum likelihood estimation; Expoentiated Pareto distribution; Ranked set sampling; Median ranked set sampling; the relative efficiency | ||||
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