Nonparametric Bayesian robustness

被引:0
|
作者
Ruggeri, Fabrizio [1 ]
机构
[1] CNR IMATI, Via Bassini 15, I-20133 Milan, Italy
来源
CHILEAN JOURNAL OF STATISTICS | 2010年 / 1卷 / 02期
关键词
Bayesian robustness; Concentration function; Dirichlet process;
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
A new, nonparametric, approach to Bayesian robustness is presented. Whereas many studies in Bayesian robustness have dealt with a parametric sampling distribution, considering classes of prior distributions on the parameters, here we assume that the sampling distribution comes from a Dirichlet process with a parameter eta = beta alpha, with beta > 0 and alpha being a probability measure, specified with uncertainty.
引用
收藏
页码:51 / 68
页数:18
相关论文
共 50 条
  • [1] Discussion of “Nonparametric Bayesian Inference in Applications”: Bayesian nonparametric methods in econometrics
    Jim Griffin
    Maria Kalli
    Mark Steel
    [J]. Statistical Methods & Applications, 2018, 27 : 207 - 218
  • [2] Discussion of "Nonparametric Bayesian Inference in Applications": Bayesian nonparametric methods in econometrics
    Griffin, Jim
    Kalli, Maria
    Steel, Mark
    [J]. STATISTICAL METHODS AND APPLICATIONS, 2018, 27 (02): : 207 - 218
  • [3] Nonparametric Likelihood: Efficiency and Robustness
    Yuichi Kitamura
    [J]. The Japanese Economic Review, 2007, 58 : 26 - 46
  • [4] Nonparametric likelihood: Efficiency and robustness
    Kitamura, Yuichi
    [J]. JAPANESE ECONOMIC REVIEW, 2007, 58 (01) : 26 - 46
  • [5] BAYESIAN NONPARAMETRIC BANDITS
    CLAYTON, MK
    BERRY, DA
    [J]. ANNALS OF STATISTICS, 1985, 13 (04): : 1523 - 1534
  • [6] NONPARAMETRIC BAYESIAN REGRESSION
    BARRY, D
    [J]. ANNALS OF STATISTICS, 1986, 14 (03): : 934 - 953
  • [7] Bayesian Nonparametric Crowdsourcing
    Moreno, Pablo G.
    Artes-Rodriguez, Antonio
    Teh, Yee Whye
    Perez-Cruz, Fernando
    [J]. JOURNAL OF MACHINE LEARNING RESEARCH, 2015, 16 : 1607 - 1627
  • [8] Nonparametric Bayesian methods
    Mueller, Peter
    Quintana, Fernando A.
    [J]. STATISTICAL MODELLING, 2008, 8 (01) : 1 - 2
  • [9] Robustness in Bayesian nonparametrics
    Bose, Sudip
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2017, 82 : 161 - 169
  • [10] Bayesian robustness and stability
    Kadane, J
    Srinivasan, C
    [J]. BAYESIAN ROBUSTNESS, 1996, 29 : 81 - 100