An exponential family of median based estimators for mean estimation with simple random sampling scheme

被引：20

作者：

Shahzad, Usman ^{[1
,4
]}

Al-Noor, Nadia H. ^{[2
]}

Hanif, Muhammad ^{[1
]}

Sajjad, Irsa ^{[3
]}

机构：

[1] PMAS Arid Agr Univ, Dept Math & Stat, Rawalpindi, Pakistan

[2] Mustansiriyah Univ, Coll Sci, Dept Math, Baghdad, Iraq

[3] Univ Lahore, Dept Lahore Business Sch, Islamabad, Pakistan

[4] Int Islamic Univ, Dept Math & Stat, Islamabad, Pakistan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 20期

关键词：

Auxiliary (supplementary) variable; median; MSE; PRE; ratio-type estimators; exponential-type estimators; MODIFIED RATIO ESTIMATORS;

D O I：

10.1080/03610926.2020.1725828

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Recently, Irfan et al. developed ratio-type estimators for population mean estimation with simple random sampling (SRS) scheme, based on known median of a study variable and an auxiliary (supplementary) variable. In this study, adapting the structure of Koyuncu, we propose a new class of exponential-type estimators, based on the known median of study variable with the SRS scheme. The theoretical mean square error (MSE) expressions of the new proposals up to the first order of approximation are determined. A numerical study is done in support of the present work by finding percentage gain in efficiency with the graphical presentation of MSE results.

引用

页码：4890 / 4899

页数：10

共 50 条

[41] Family of Estimators of Population Mean Using Two Auxiliary Variables in Stratified Random Sampling
Koyuncu, Nursel
Kadilar, Cem
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (14) : 2398 - 2417
[42] Calibration-Based Mean Estimators under Stratified Median Ranked Set Sampling
Shahzad, Usman
Ahmad, Ishfaq
Almanjahie, Ibrahim
Alshahrani, Fatimah M.
Iftikhar, Soofia
MATHEMATICS, 2023, 11 (08)
[43] Improved Estimation of Population Mean in Simple Random Sampling Using Attribute
Bhushan, Shashi
Kumar, Anoop
THAILAND STATISTICIAN, 2024, 22 (02): : 374 - 389
[44] SEPARATE TYPE EXPONENTIAL ESTIMATORS OF POPULATION MEAN USING TWO AUXILIARY VARIABLES IN STRATIFIED RANDOM SAMPLING
Lone, Hilal A.
Tailor, Rajesh
JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2015, 8 (01): : 95 - 104
[45] A CLASS OF RATIO TYPE EXPONENTIAL ESTIMATORS OF POPULATION MEAN USING AUXILIARY ATTRIBUTE IN STRATIFIED RANDOM SAMPLING
Singh, Housila P.
Kumar, Hemanta
Trivedi, Manish
Garg, Neha
INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2023, 19 : 1011 - 1020
[46] On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable
Enang, Ekaette Inyang
Ekpenyong, Emmanuel John
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (04): : 963 - 982
[47] An improved class of estimators of finite population mean in simple random sampling using an auxiliary attribute
Haq A.
Shabbir J.
Journal of Statistical Theory and Practice, 2018, 12 (2) : 282 - 289
[48] New Ratio Estimators of a Population Mean Using One Auxiliary Variable in Simple Random Sampling
Srisodaphol, Wuttichai
Kingphai, Kunjira
Tanjai, Nipaporn
CHIANG MAI JOURNAL OF SCIENCE, 2015, 42 (02): : 523 - 527
[49] Estimation of finite population mean in simple random sampling and stratified random sampling using two auxiliary variables
Muneer, Siraj
Shabbir, Javid
Khalil, Alamgir
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (05) : 2181 - 2192
[50] Efficient Utilization of Auxiliary Information on Estimation of Population Mean Using Exponential Type Estimators in Successive Sampling
Surya K. Pal
Housila P. Singh
Journal of Statistical Theory and Applications, 2017, 16 (4): : 476 - 489

← 1 2 3 4 5 →