Quartile ranked set sampling for estimating the distribution function | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 2, 2016, Pages 303-308 PDF (342.14 K) | ||
| DOI: 10.1016/j.joems.2015.01.006 | ||
| Author | ||
| Amer Ibrahim Al-Omari | ||
| Al al-Bayt University, Faculty of Science, Department of Mathematics, Mafraq, Jordan | ||
| Abstract | ||
| Quartile ranked set sampling (QRSS) method is suggested by Muttlak (2003) for estimat- ing the population mean. In this article, the QRSS procedure is considered to estimate the distribu- tion function of a random variable. The proposed QRSS estimator is compared with its counterparts based on simple random sampling (SRS) and ranked set sampling (RSS) schemes. It is found that the suggested estimator of the distribution function of a random variable X for a given x is biased and more efficient than its competitors using SRS and RSS | ||
| Keywords | ||
| Distribution function; Quartile ranked set sampling; Simple random sampling; Ranked set sampling; Relative efficiency | ||
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