The Improved Estimator of Population Mean with Ranks under Double Sampling
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Abstract
This research presents the development of a population mean estimator using the ranked auxiliary variables under double sampling. Some properties of the proposed estimator were studied, including bias (B) and mean square error (MSE). The efficiency of the proposed estimator was also compared with the standard estimator, namely the mean method and the ratio method. For the empirical analysis, the data of small dust particles in Bangkok in January 2019 were used, with 10,000 replicate samplings. It was found that the proposed estimator was more efficient than the standard estimator with the lowest MSE values in all studied scenarios which tended to decrease as the sample size increased. Therefore, it can be concluded that using the ranked auxiliary variables can reduce the MSE value, resulting in a more accurate estimator.
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บทความที่ได้รับการตีพิมพ์เป็นลิขสิทธิ์ของ วารสารวิทยาศาสตร์และเทคโนโลยี มหาวิทยาลัยอุบลราชธานี
ข้อความที่ปรากฏในบทความแต่ละเรื่องในวารสารวิชาการเล่มนี้เป็นความคิดเห็นส่วนตัวของผู้เขียนแต่ละท่านไม่เกี่ยวข้องกับมหาวิทยาลัยอุบลราชธานี และคณาจารย์ท่านอื่นๆในมหาวิทยาลัยฯ แต่อย่างใด ความรับผิดชอบองค์ประกอบทั้งหมดของบทความแต่ละเรื่องเป็นของผู้เขียนแต่ละท่าน หากมีความผิดพลาดใดๆ ผู้เขียนแต่ละท่านจะรับผิดชอบบทความของตนเองแต่ผู้เดียว
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