A general class of estimators on estimating population mean using the auxiliary proportions under simple and two phase sampling

被引:6
|
作者
Liu, Xuechen [1 ]
Arslan, Muhammad [2 ]
机构
[1] Taiyuan Normal Univ, Fac Econ, Taiyuan, Peoples R China
[2] Shanxi Univ Finance & Econ, Taiyuan, Peoples R China
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 12期
关键词
simple and two phase sampling; proportion; auxiliary information; mean squared error; numerical comparison;
D O I
10.3934/math.2021790
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article deals with estimation of finite population mean using the auxiliary proportion under simple and two phase sampling scheme utilizing two auxiliary variables. Mathematical expressions for the mean squared errors of the proposed estimators are derived under first order of approximation. We compare the proposed class of estimators "theoretically and numerically" with the usual mean estimator of Naik and Gupta [1]. The theoretical as well as numerical findings support the superiority of our proposed class of estimator as compared to estimators available in literature.
引用
收藏
页码:13592 / 13607
页数:16
相关论文
共 50 条
  • [41] An Efficient Approach for Estimating Population Mean in Simple Random Sampling Using an Auxiliary Attribute
    Singh, Housila Prasad
    Gupta, Anurag
    Tailor, Rajesh
    THAILAND STATISTICIAN, 2023, 21 (03): : 631 - 659
  • [42] IMPROVED CLASS OF ESTIMATORS OF FINITE POPULATION MEAN USING SAMPLING FRACTION AND INFORMATION ON TWO AUXILIARY VARIABLES IN SAMPLE SURVEYS
    Singh, H. P.
    Rathour, A.
    Solanki, R. S.
    STATISTICA, 2013, 73 (03) : 353 - 361
  • [43] An Efficient Class of Estimators for the Population Mean Using Auxiliary Information
    Singh, Housila P.
    Solanki, Ramkrishna S.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2013, 42 (01) : 145 - 163
  • [44] A GENERAL CLASS OF ESTIMATORS IN TWO-STAGE SAMPLING WITH TWO AUXILIARY VARIABLES
    Sahoo, L. N.
    Sahoo, R. K.
    Senapati, S. C.
    Mangaraj, A. K.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (05): : 757 - 765
  • [45] A Class of Exponential Ratio Estimators of Finite Population Mean Using Two Auxiliary Variables
    Sharma, Prayas
    Singh, Rajesh
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (02) : 221 - 229
  • [46] Memory type general class of estimators for population variance under simple random sampling
    Kumar, Anoop
    Anshika
    Emam, Walid
    Tashkandy, Yusra
    HELIYON, 2024, 10 (16)
  • [47] A GENERAL CLASS OF MEAN ESTIMATORS USING MIXTURE OF AUXILIARY VARIABLES FOR TWO-PHASE SAMPLING IN THE PRESENCE OF NON-RESPONSE AT SECOND PHASE FOR NO INFORMATION CASE
    Ahmad, Zahoor
    Afzal, Muniba
    Shahid, Ummara
    Hanif, Muhammad
    PAKISTAN JOURNAL OF STATISTICS, 2014, 30 (03): : 291 - 317
  • [48] Efficient Class of Estimators of Population Mean under Double Sampling
    Bhushan, Shashi
    Kumar, Anoop
    Kumar, Sumit
    THAILAND STATISTICIAN, 2023, 21 (03): : 498 - 509
  • [49] A new improved generalized class of estimators for population distribution function using auxiliary variable under simple random sampling
    Ahmad, Sohaib
    Ullah, Kalim
    Zahid, Erum
    Shabbir, Javid
    Aamir, Muhammad
    Alshanbari, Huda M.
    El-Bagoury, Abd Al-Aziz Hosni
    SCIENTIFIC REPORTS, 2023, 13 (01)
  • [50] A new improved generalized class of estimators for population distribution function using auxiliary variable under simple random sampling
    Sohaib Ahmad
    Kalim Ullah
    Erum Zahid
    Javid Shabbir
    Muhammad Aamir
    Huda M. Alshanbari
    Abd Al-Aziz Hosni El-Bagoury
    Scientific Reports, 13