A modified nested-error regression model for small area estimation

被引:1
作者
Herrador, M. [1 ]
Esteban, M. D. [2 ]
Hobza, T. [3 ]
Morales, D. [2 ]
机构
[1] Inst Nacl Estadist, Madrid, Spain
[2] Miguel Hernandez Univ Elche, Ctr Operat Res, Elche, Spain
[3] Czech Tech Univ, Dept Math, CR-16635 Prague, Czech Republic
关键词
small area estimation; linear mixed models; nested-error regression model; fixed effects; random effects; EBLUP; outliers; MEAN SQUARED ERROR; PREDICTION;
D O I
10.1080/02331888.2011.599068
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 nested-error regression model having both fixed and random effects is introduced to estimate linear parameters of small areas. The model is applicable to data having a proportion of domains where the variable of interest cannot be described by a standard linear mixed model. Algorithms and formulas to fit the model, to calculate EBLUP and to estimate mean-squared errors are given. A Monte Carlo simulation experiment is presented to illustrate the gain of precision obtained by using the proposed model and to obtain some practical conclusions. A motivating application to Spanish Labour Force Survey data is also given.
引用
收藏
页码:258 / 273
页数:16
相关论文
共 15 条
  • [1] [Anonymous], VARIANCE COMPONENTS
  • [2] [Anonymous], 2005, STAT TRANSITION
  • [3] AN ERROR-COMPONENTS MODEL FOR PREDICTION OF COUNTY CROP AREAS USING SURVEY AND SATELLITE DATA
    BATTESE, GE
    HARTER, RM
    FULLER, WA
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1988, 83 (401) : 28 - 36
  • [4] Breidt FJ, 2000, ANN STAT, V28, P1026
  • [5] Das K, 2004, ANN STAT, V32, P818
  • [6] SMALL-AREA ESTIMATION - AN APPRAISAL
    GHOSH, M
    RAO, JNK
    [J]. STATISTICAL SCIENCE, 1994, 9 (01) : 55 - 76
  • [7] Influence functions and robust Bayes and empirical Bayes small area estimation
    Ghosh, Malay
    Maiti, Tapabrata
    Roy, Ananya
    [J]. BIOMETRIKA, 2008, 95 (03) : 573 - 585
  • [8] Mixed model prediction and small area estimation
    Jiang, Jiming
    Lahiri, P.
    [J]. TEST, 2006, 15 (01) : 1 - 59
  • [9] Lahiri P., 1995, J AM STAT ASSOC, V60, P1005
  • [10] Lehtonen R., 2003, Statistics Canada, V29, P33, DOI DOI 10.1016/J.ENVPOL.2006.01.037