Improvement in variance estimation using transformed auxiliary variable under simple random sampling

被引：4

作者：

Ali, Hameed ^{[1
]}

Asim, Syed Muhammad ^{[1
]}

Ijaz, Muhammad ^{[2
]}

Zaman, Tolga ^{[3
]}

Iftikhar, Soofia ^{[4
]}

机构：

[1] Univ Peshawar, Dept Stat, Peshawar, Pakistan

[2] Univ Haripur, Dept Math & Stat, Haripur, Pakistan

[3] Cankiri Karatekin Univ, Dept Stat, Cankiri, Turkiye

[4] Shaheed Benazir Bhutto Women Univ, Dept Stat, Peshawar, Pakistan

来源：

SCIENTIFIC REPORTS | 2024年 / 14卷 / 01期

关键词：

Auxiliary variable; Mean square error; Population variance; Percentage relative efficiency; POPULATION VARIANCE; EXPONENTIAL ESTIMATOR; ATTRIBUTE;

D O I：

10.1038/s41598-024-58841-x

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper offers a novel approach to formulate efficient ratio estimator of the population variance using a transformed auxiliary variable. The impact of transformation on auxiliary information has also been discussed. It is observed that incorporating a transformed auxiliary variable result in a high gain in efficiency. Theoretical properties of the newly developed estimators have been derived. The empirical and simulation studies show that the suggested estimators outperformed the existing estimators.

引用

页数：18

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