On maximum hierarchical likelihood estimators

被引:3
|
作者
Jiang, JM [1 ]
机构
[1] Case Western Reserve Univ, Dept Stat, Cleveland, OH 44106 USA
关键词
generalized linear mixed models; maximum hierarchical likelihood; consistency;
D O I
10.1080/03610929908832386
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 show that in (large sample) cases where there is not sufficient information about the random effects, the maximum hierarchical likelihood estimators in a generalized linear mixed model (GLMM) may be inconsistent, even if the variance components are-known, This suggests that the behavior of such estimators in a GLMM may be quite different from that of the best linear unbiased estimators in linear mixed models.
引用
收藏
页码:1769 / 1775
页数:7
相关论文
共 50 条
  • [1] ON THE EXISTENCE OF MAXIMUM-LIKELIHOOD ESTIMATORS FOR HIERARCHICAL LOGLINEAR MODELS
    GLONEK, GFV
    DARROCH, JN
    SPEED, TP
    [J]. SCANDINAVIAN JOURNAL OF STATISTICS, 1988, 15 (03) : 187 - 193
  • [2] MOMENT ESTIMATORS AND MAXIMUM LIKELIHOOD
    SHENTON, LR
    [J]. BIOMETRIKA, 1958, 45 (3-4) : 411 - 420
  • [3] INVARIANCE OF MAXIMUM LIKELIHOOD ESTIMATORS
    ZEHNA, PW
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (03): : 744 - &
  • [4] ITERATED MAXIMUM LIKELIHOOD ESTIMATORS
    DUDEWICZ, EJ
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (05): : 1773 - +
  • [5] Maximum Likelihood Estimators on Manifolds
    Hajri, Hatem
    Said, Salem
    Berthoumieu, Yannick
    [J]. GEOMETRIC SCIENCE OF INFORMATION, GSI 2017, 2017, 10589 : 692 - 700
  • [6] GENERALIZED MAXIMUM LIKELIHOOD ESTIMATORS
    WEISS, L
    WOLFOWIT.J
    [J]. THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1966, 11 (01): : 58 - &
  • [7] On bias in maximum likelihood estimators
    Mardia, KV
    Southworth, HR
    Taylor, CC
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1999, 76 (1-2) : 31 - 39
  • [8] Hierarchical Bayes, maximum a posteriori estimators, and minimax concave penalized likelihood estimation
    Strawderman, Robert L.
    Wells, Martin T.
    Schifano, Elizabeth D.
    [J]. ELECTRONIC JOURNAL OF STATISTICS, 2013, 7 : 973 - 990
  • [9] Maximum likelihood and restricted maximum likelihood estimators as functions of ordinary least squares and analysis of variance estimators
    Moser, BK
    McCann, MH
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1996, 25 (03) : 631 - 646
  • [10] Maximum likelihood estimators: Nonparametric approach
    Huber C.
    Solev V.N.
    Vonta I.
    [J]. Journal of Mathematical Sciences, 2007, 147 (4) : 6975 - 6979