Estimators for the population mean in the case of missing data

被引:38
|
作者
Kadilar, Cem [1 ]
Cingi, Hulya [1 ]
机构
[1] Hacettepe Univ, Dept Stat, TR-06800 Ankara, Turkey
关键词
efficiency; missing data; ratio-type estimator; regression estimator; simple random sampling;
D O I
10.1080/03610920701855020
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
We propose a class of estimators for the population mean when there are missing data in the data set. Obtaining the mean square error equations of the proposed estimators, we show the conditions where the proposed estimators are more efficient than the sample mean, ratio-type estimators, and the estimators in Singh and Horn (2000) and Singh and Deo (2003) in the case of missing data. These conditions are also supported by a numerical example.
引用
收藏
页码:2226 / 2236
页数:11
相关论文
共 50 条
  • [31] GENERALIZED MULTIVARIATE ESTIMATORS FOR MEAN OF A FINITE POPULATION
    RAO, PSR
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (04): : 1310 - &
  • [32] 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
  • [33] A modified class of ratio estimators for population mean
    Etuk, Sylvanus Itoro
    Enang, Ekaette Inyang
    Ekpenyong, Emmanuel John
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (04) : 837 - 849
  • [34] EFFICIENT FAMILY OF EXPONENTIAL ESTIMATORS FOR THE POPULATION MEAN
    Yadav, Subhash Kumar
    Kadilar, Cem
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (06): : 671 - 676
  • [35] Testing Measurement Invariance with Ordinal Missing Data: A Comparison of Estimators and Missing Data Techniques
    Chen, Po-Yi
    Wu, Wei
    Garnier-Villarreal, Mauricio
    Kite, Benjamin Arthur
    Jia, Fan
    [J]. MULTIVARIATE BEHAVIORAL RESEARCH, 2020, 55 (01) : 87 - 101
  • [36] Estimation of population mean in presence of missing data under simple random sampling
    Bhushan, Shashi
    Kumar, Anoop
    Pandey, Abhay Pratap
    Singh, Saurabh
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023, 52 (12) : 6048 - 6069
  • [37] Optimality of ratio type estimation methods for population mean in the presence of missing data
    Bhushan, Shashi
    Pandey, Abhay Pratap
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (11) : 2576 - 2589
  • [38] UMVU estimators for the population mean and variance based on random effects models for lognormal data
    Lyles, RH
    Kupper, LL
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1998, 27 (04) : 795 - 818
  • [39] Robust ratio estimators of population mean for skewed and contaminated population
    Ahmed, Azaz
    Sanaullah, Aamir
    Oral, Evrim
    Hanif, Muhammad
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2023, 93 (05) : 800 - 817
  • [40] New Transformed Estimators in the Presence of Missing Data: A Case Study on COVID-19
    Natthapat Thongsak
    Nuanpan Lawson
    [J]. Lobachevskii Journal of Mathematics, 2024, 45 (4) : 1662 - 1673