A modified class of ratio estimators for population mean

被引：2
|
作者：
Etuk, Sylvanus Itoro [1 ]
Enang, Ekaette Inyang [1 ]
Ekpenyong, Emmanuel John [2 ]
机构：
[1] Univ Calabar, Dept Math Stat & Comp Sci, PMB 1115, Calabar 540000, Cross River Sta, Nigeria
[2] Michael Opara Univ Agr, Dept Stat, Umuahia, Abia State, Nigeria
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2016年 / 45卷 / 04期
关键词：
Asymptotic optimum estimator (AOE); Auxiliary variable; Bias; Efficiency; Ratio estimator; Simple random sampling without replacement; 62D05; COEFFICIENT;
D O I：
10.1080/03610926.2013.851238
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：
A modified class of ratio estimators for population mean of the study variable (?) under the simple random sampling without replacement scheme is proposed using a combination of scalars and known population mean of the auxiliary variable (X). The expressions for the bias and mean square error (MSE) were obtained and the condition for the asymptotic optimum estimator (AOE) with its bias and mean square error expressions were also obtained. Analytical and numerical comparisons of the AOE with other existing members of the proposed class of estimators show that the AOE is more efficient under certain realistic conditions.
引用
收藏
页码：837 / 849
页数：13
相关论文
共 50 条
  • [1] MODIFIED CLASS OF RATIO ESTIMATORS FOR POPULATION MEAN
    Subzar, Mir
    Raja, T. A.
    Maqbool, S.
    Wani, S. A.
    Shikari, Asif Bashir
    Nazir, Nageena
    [J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2018, 14 (01): : 313 - 317
  • [2] A Class of Modified Ratio Estimators for Estimation of Population Variance
    Subramani, J.
    Kumarapandiyan, G.
    [J]. JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2015, 11 (01) : 91 - 114
  • [3] Modified Ratio and Product Estimators for Population Mean in Systematic Sampling
    Singh, Housila P.
    Tailor, Rajesh
    Jatwa, Narendra Kumar
    [J]. JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2011, 10 (02) : 424 - 435
  • [4] Improved Modified Ratio Estimators of Population Mean Based on Deciles
    Abid, Muhammad
    Abbas, Nasir
    Riaz, Muhammad
    [J]. CHIANG MAI JOURNAL OF SCIENCE, 2016, 43 (01): : 1311 - 1323
  • [5] AN IMPROVED RATIO-PRODUCT-RATIO CLASS OF ESTIMATORS FOR ESTIMATING THE POPULATION MEAN
    Singh, Deepak
    Yadav, Rohini
    Chandra, Hukum
    [J]. INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2021, 17 (01): : 119 - 123
  • [6] A CLASS OF MODIFIED LINEAR REGRESSION ESTIMATORS FOR ESTIMATION OF FINITE POPULATION MEAN
    Subramani, J.
    Kumarapandiyan, G.
    [J]. JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2012, 5 (02): : 1 - 10
  • [7] An improved class of estimators for the population mean
    Diana, Giancarlo
    Giordan, Marco
    Perri, Pier Francesco
    [J]. STATISTICAL METHODS AND APPLICATIONS, 2011, 20 (02): : 123 - 140
  • [8] An improved class of estimators for the population mean
    Giancarlo Diana
    Marco Giordan
    Pier Francesco Perri
    [J]. Statistical Methods & Applications, 2011, 20 : 123 - 140
  • [9] An Efficient Class on Linear Combination of Ratio Type Estimators for Estimating the Population Mean
    Gangele, Raj Kumar
    Vishwakarma, Gajendra Kumar
    Choubey, Shailesh Kumar
    [J]. THAILAND STATISTICIAN, 2022, 20 (02): : 284 - 292
  • [10] A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables
    Lu, Jingli
    Yan, Zaizai
    [J]. PLOS ONE, 2014, 9 (02):
12345