Yıl 2018, Cilt 47, Sayı 5, Sayfalar 1375 - 1393 2018-10-16
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## Improved ratio estimators using some robust measures

#### Muhammad Abid [1] , Hafız Zafar Nazir [2] , Muhammad Riaz [3] , Zhengyan Lin [4] , Hafız Muhammad Tahir [5]

##### 10 11

Estimation of population mean is of prime concern in many studies and ratio estimators are popular choices for it. It is a common practice to use conventional measures of location to develop ratio estimators using information on auxiliary variables. In this article, we propose a class of ratio estimators for a finite population mean using information on two auxiliary variables with the help of some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, mid-range and decile mean of the two auxiliary variables to serve the purpose. The properties associated with the proposed class of ratio estimators are evaluated using mean square error. We have presented efficiency comparisons of the proposed class of ratio estimators with other existing estimators under the optimal conditions. An empirical study is also included for illustration and verication purposes. From theoretical and empirical study, We observed that the proposed estimators perform better as compared to the usual ratio and the existing estimators consider in this study.
Auxiliary variables, Hodges-Lehmann estimator, Mean square error, Mid-range, Ratio estimators, Tri-mean
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Birincil Dil en Matematik İstatistik Yazar: Muhammad Abid (Sorumlu Yazar)Kurum: DEPARTMENT OF MATHEMATICS, INSTITUTE OF STATISTICS, ZHEJIANG UNIVERSITYÜlke: China Yazar: Hafız Zafar NazirKurum: DEPARTMENT OF STATISTICS, FACULTY OF SCIENCE, UNIVERSITY OF SARGODHAÜlke: Pakistan Yazar: Muhammad RiazKurum: DEPARTMENT OF MATHEMATICS AND STATISTICS, KING FAHAD UNIVERSITY OF PETROLEUM AND MINERALSÜlke: United Arab Emirates Yazar: Zhengyan LinKurum: DEPARTMENT OF MATHEMATICS, INSTITUTE OF STATISTICS, ZHEJIANG UNIVERSITYÜlke: China Yazar: Hafız Muhammad TahirKurum: DEPARTMENT OF STATISTICS, FACULTY OF SCIENCE AND TECHNOLOGY, GOVERNMENT COLLEGE UNIVERSITYÜlke: Pakistan
 Bibtex @araştırma makalesi { hujms471537, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {1375 - 1393}, doi = {}, title = {Improved ratio estimators using some robust measures}, key = {cite}, author = {Lin, Zhengyan and Riaz, Muhammad and Abid, Muhammad and Nazir, Hafız Zafar and Tahir, Hafız Muhammad} } APA Abid, M , Nazir, H , Riaz, M , Lin, Z , Tahir, H . (2018). Improved ratio estimators using some robust measures. Hacettepe Journal of Mathematics and Statistics, 47 (5), 1375-1393. Retrieved from http://dergipark.gov.tr/hujms/issue/39860/471537 MLA Abid, M , Nazir, H , Riaz, M , Lin, Z , Tahir, H . "Improved ratio estimators using some robust measures". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1375-1393 Chicago Abid, M , Nazir, H , Riaz, M , Lin, Z , Tahir, H . "Improved ratio estimators using some robust measures". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1375-1393 RIS TY - JOUR T1 - Improved ratio estimators using some robust measures AU - Muhammad Abid , Hafız Zafar Nazir , Muhammad Riaz , Zhengyan Lin , Hafız Muhammad Tahir Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1375 EP - 1393 VL - 47 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Improved ratio estimators using some robust measures %A Muhammad Abid , Hafız Zafar Nazir , Muhammad Riaz , Zhengyan Lin , Hafız Muhammad Tahir %T Improved ratio estimators using some robust measures %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 5 %R %U ISNAD Abid, Muhammad , Nazir, Hafız Zafar , Riaz, Muhammad , Lin, Zhengyan , Tahir, Hafız Muhammad . "Improved ratio estimators using some robust measures". Hacettepe Journal of Mathematics and Statistics 47 / 5 (Ekim 2018): 1375-1393.