Open AccessModified Ratio Estimators of Population Mean Based on Ranked Set Sampling
Author(s) -
Zahid Mahmood Khan,
Muhammad Ismail
Publication year - 2019
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v15i2.2566
Subject(s) - rss , estimator , mathematics , kurtosis , statistics , mean squared error , ratio estimator , skewness , population mean , extremum estimator , coefficient of variation , m estimator , efficient estimator , minimum variance unbiased estimator , computer science , operating system
In this paper, we propose modified ratio estimators using some known values of coefficient of variation, coefficient of skewness and coefficient of kurtosis of auxiliary variable under ranked set sampling (RSS). The mean square error (MSE) of the proposed ratio estimators under ranked set sampling is derived and compared with some existing ratio estimators under RSS. Through this comparison, we prove theoretically that MSC of proposed estimators is less than some existing ratio estimators in RSS under some conditions. The MSE of proposed estimators along with some existing estimator are also calculated numerically. We observe from numerical results that the suggested ratio estimators are more efficient than some existing ratio estimators under RSS.