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

共 50 条

[1] VARIANCE ESTIMATION IN SIMPLE RANDOM SAMPLING USING AUXILIARY INFORMATION
Gupta, Sat
Shabbir, Javid
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2008, 37 (01): : 57 - 67
[2] Improvement in variance estimation in simple random sampling
Kadilar, Cem
Cingi, Hulya
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (9-12) : 2075 - 2081
[3] A new procedure for variance estimation in simple random sampling using auxiliary information
Housila P. Singh
Ramkrishna S. Solanki
Statistical Papers, 2013, 54 : 479 - 497
[4] A new procedure for variance estimation in simple random sampling using auxiliary information
Singh, Housila P.
Solanki, Ramkrishna S.
STATISTICAL PAPERS, 2013, 54 (02) : 479 - 497
[5] Improved estimation of population variance using information on auxiliary attribute in simple random sampling
Singh, Rajesh
Malik, Sachin
APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 43 - 49
[6] On improvement in variance estimation using ranks of original auxiliary variable as an additional auxiliary variable
Grover, Lovleen Kumar
Kaur, Amanpreet
JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2021, 24 (05): : 1041 - 1057
[7] An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling
Ahmad, Sohaib
Adichwal, Nitesh Kumar
Aamir, Muhammad
Shabbir, Javid
Alsadat, Najwan
Elgarhy, Mohammed
Ahmad, Hijaz
SCIENTIFIC REPORTS, 2023, 13 (01)
[8] Variance estimation under an efficient class of estimators in simple random sampling
Bhushan, Shashi
Kumar, Anoop
Alsubie, Abdelaziz
Lone, Showkat Ahmad
AIN SHAMS ENGINEERING JOURNAL, 2023, 14 (08)
[9] Improved modified estimator for estimation of median using auxiliary information under simple random sampling
Ahmad, Sohaib
Masood, Saadia
Alomair, Abdullah Mohammed
Alomair, Mohammed Ahmed
SCIENTIFIC REPORTS, 2024, 14 (01):
[10] A Class of Ratio Estimators for Estimating Population Mean Using a Transformed Auxiliary Variable Under Stratified Random Sampling
Thongsak, Natthapat
Lawson, Nuanpan
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2024, 45 (07) : 3432 - 3443

← 1 2 3 4 5 →