On the equivalence of the BLUEs under a general linear model and its restricted and stochastically restricted models

被引:4
|
作者
Ren, Xingwei [1 ]
机构
[1] Hohai Univ, Wentian Coll, Maanshan 243031, Peoples R China
关键词
General linear model; Stochastically restricted model; Equality; Restricted model; BLUE; ORDINARY LEAST-SQUARES; UNBIASED ESTIMATORS; EQUALITY; RANK;
D O I
10.1016/j.spl.2014.03.006
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
Necessary and sufficient conditions are derived for the equalities of the best linear unbiased estimators (BLUEs) of parametric functions under a general linear model and its restricted and stochastically restricted models to hold. (C) 2014 Elsevier B.V. All rights reserved.
引用
下载
收藏
页码:1 / 10
页数:10
相关论文
共 50 条
  • [41] Restricted Liu estimator under stochastic linear restrictions in generalized linear models: theory and applications
    Abbasi, Atif
    Ozkale, M. Revan
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023,
  • [42] Restricted likelihood ratio testing in linear mixed models with general error covariance structure
    Wiencierz, Andrea
    Greven, Sonja
    Kuechenhoff, Helmut
    ELECTRONIC JOURNAL OF STATISTICS, 2011, 5 : 1718 - 1734
  • [43] A General Equivalence Theorem for Crossover Designs under Generalized Linear Models
    Jeevan Jankar
    Jie Yang
    Abhyuday Mandal
    Sankhya B, 2023, 85 : 344 - 364
  • [44] A General Equivalence Theorem for Crossover Designs under Generalized Linear Models
    Jankar, Jeevan
    Yang, Jie
    Mandal, Abhyuday
    SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS, 2023, 85 (02): : 344 - 364
  • [45] Canonical forms for descriptor systems under restricted system equivalence
    Vafiadis, D
    Karcanias, N
    AUTOMATICA, 1997, 33 (05) : 955 - 958
  • [46] Canonical forms for descriptor systems under restricted system equivalence
    City Univ, London, United Kingdom
    Automatica, 5 (955-958):
  • [47] CHARACTERIZATIONS OF ADMISSIBLE LINEAR ESTIMATORS IN RESTRICTED LINEAR-MODELS
    BAKSALARY, JK
    MARKIEWICZ, A
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1986, 13 (03) : 395 - 398
  • [48] An iterative method for solving general restricted linear equations
    Srivastava, Shwetabh
    Gupta, Dharmendra K.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 262 : 344 - 353
  • [49] About the equivalence between a general and a restricted sense two-ports, both linear and non-autonomous
    Rosman, Hugo
    REVUE ROUMAINE DES SCIENCES TECHNIQUES-SERIE ELECTROTECHNIQUE ET ENERGETIQUE, 2008, 53 (01): : 3 - 9
  • [50] Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set
    Zhang, Shangli
    Liu, Gang
    Gui, Wenhao
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,