Empirical likelihood in a semi-parametric model

被引:1
|
作者
Qin, J [1 ]
Wong, A [1 ]
机构
[1] YORK UNIV,DEPT MATH & STAT,N YORK,ON M3J 1P3,CANADA
关键词
empirical likelihood; Lagrange multiplier; robustness; semi-parametric model; Wilks' theorem;
D O I
暂无
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
Sometimes we cannot specify a statistical model in a parametric form completely, For example, we might assume that a random variable has a distribution that is roughly normal in the centre of the distribution but with tails that are arbitrary, We might then be interested in inference for the mean of the distribution, using methods that are insensitive to the shape of the tails. In this paper, we define the semi-parametric likelihood function. We show that the semi-parametric likelihood ratio statistic has asymptotically a chi-squared distribution. Some simulation results are presented.
引用
收藏
页码:209 / 219
页数:11
相关论文
共 50 条
  • [21] Selecting a semi-parametric estimator by the expected log-likelihood
    Liquet, B
    Commenges, D
    [J]. PROBABILITY, STATISTICS AND MODELLING IN PUBLIC HEALTH, 2006, : 332 - +
  • [22] Robust Bayesian synthetic likelihood via a semi-parametric approach
    An, Ziwen
    Nott, David J.
    Drovandi, Christopher
    [J]. STATISTICS AND COMPUTING, 2020, 30 (03) : 543 - 557
  • [23] Generalised quasi-likelihood inference in a semi-parametric binary dynamic mixed logit model
    Zheng, Nan
    Sutradhar, Brajendra C.
    [J]. AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 2018, 60 (03) : 343 - 373
  • [24] A semi-parametric method to test a regression model
    Harel, M
    [J]. COMPTES RENDUS MATHEMATIQUE, 2003, 336 (07) : 601 - 604
  • [25] Bivariate Semi-Parametric Model: Bayesian Inference
    Debashis Samanta
    Debasis Kundu
    [J]. Methodology and Computing in Applied Probability, 2023, 25
  • [26] On differentiability of implicitly defined function in semi-parametric profile likelihood estimation
    Hirose, Yuichi
    [J]. BERNOULLI, 2016, 22 (01) : 589 - 614
  • [27] The failure of the profile likelihood method for a large class of semi-parametric models
    Beutner, Eric
    Bordes, Laurent
    Doyens, Laurent
    [J]. BERNOULLI, 2017, 23 (4B) : 3650 - 3684
  • [28] Alternative semi-parametric likelihood approaches to generalised method of moments estimation
    Smith, RJ
    [J]. ECONOMIC JOURNAL, 1997, 107 (441): : 503 - 519
  • [29] Bivariate Semi-Parametric Model: Bayesian Inference
    Samanta, Debashis
    Kundu, Debasis
    [J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2023, 25 (04)
  • [30] A semi-parametric additive model for variance heterogeneity
    Rigby, RA
    Stasinopoulos, DM
    [J]. STATISTICS AND COMPUTING, 1996, 6 (01) : 57 - 65