On exact Bayesian credible sets for discrete parameters

被引:0
|
作者
Song, Chaegeun [1 ]
Li, Bing [1 ]
机构
[1] Penn State Univ, Dept Stat, University Pk, PA 16802 USA
基金
美国国家卫生研究院; 美国国家科学基金会;
关键词
Bayesian classification; Highest posterior density set; Neyman-Pearson lemma; Pattern recognition; REGRESSION;
D O I
10.1016/j.spl.2024.110295
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 introduce a generalized Bayesian credible set that can achieve any preassigned credible level, addressing a limitation of the current credible sets. This is achieved by exploiting a connection between the highest posterior density set and the Neyman-Pearson lemma.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Calibration Procedures for Approximate Bayesian Credible Sets
    Lee, Jeong Eun
    Nicholls, Geoff K.
    Ryder, Robin J.
    BAYESIAN ANALYSIS, 2019, 14 (04): : 1245 - 1269
  • [2] Bayesian bootstrap credible sets for multidimensional mean functional
    Choudhuri, N
    ANNALS OF STATISTICS, 1998, 26 (06): : 2104 - 2127
  • [3] CREDIBLE SETS FOR SYSTEM PARAMETERS ANDTRANSFER FUNCTIONS
    YUAN Zhendong
    CHEN Qi
    DING Sheng
    DIAO Lianwang(Department of Mathematics
    SystemsScienceandMathematicalSciences, 1998, (02) : 150 - 160
  • [4] DISCUSSION OF "FREQUENTIST COVERAGE OF ADAPTIVE NONPARAMETRIC BAYESIAN CREDIBLE SETS"
    Castillo, Ismael
    ANNALS OF STATISTICS, 2015, 43 (04): : 1437 - 1443
  • [5] On Bayesian credible sets, restricted parameter spaces and frequentist coverage
    Marchand, Eric
    Strawderman, William E.
    ELECTRONIC JOURNAL OF STATISTICS, 2013, 7 : 1419 - 1431
  • [6] Computation of optimal Bayesian credible sets for the binomial and Poisson distributions
    Gewali, LP
    Ntafos, S
    Singh, AK
    BOUNDARY ELEMENT TECHNOLOGY XIII: INCORPORATING COMPUTATIONAL METHODS AND TESTING FOR ENGINEERING INTEGRITY, 1999, 2 : 397 - 406
  • [7] Adaptive Bayesian credible sets in regression with a Gaussian process prior
    Sniekers, Suzanne
    van der Vaart, Aad
    ELECTRONIC JOURNAL OF STATISTICS, 2015, 9 (02): : 2475 - 2527
  • [8] BAYESIAN ROBUSTNESS OF CREDIBLE REGIONS IN THE PRESENCE OF NUISANCE PARAMETERS
    DELAHORRA, J
    FERNANDEZ, C
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1994, 23 (03) : 689 - 699
  • [9] A note on approximate Bayesian credible sets based on modified loglikelihood ratios
    Ventura, Laura
    Ruli, Erlis
    Racugno, Walter
    STATISTICS & PROBABILITY LETTERS, 2013, 83 (11) : 2467 - 2472
  • [10] Noninformative priors, credible sets and Bayesian hypothesis testing for the intraclass model
    Ghosh, M
    Heo, J
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2003, 112 (1-2) : 133 - 146