Quartile ranked set sampling for estimating the distribution function

Author

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