Quantization of prior probabilities for hypothesis testing

被引:28
|
作者
Varshney, Kush R. [1 ]
Varshney, Lav R. [1 ]
机构
[1] MIT, Informat & Decis Syst Lab, Cambridge, MA 02139 USA
基金
美国国家科学基金会;
关键词
Bayesian hypothesis testing; Bayes risk error; categorization; classification; detection; quantization;
D O I
10.1109/TSP.2008.928164
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, Bayesian hypothesis testing is investigated when the prior probabilities of the hypotheses, taken as a random vector, are quantized. Nearest neighbor and centroid conditions are derived using mean Bayes risk error (NORE) as a distortion measure for quantization. A high-resolution approximation to the distortion-rate function is also obtained. Human decision making in segregated populations is studied assuming Bayesian hypothesis testing with quantized priors.
引用
收藏
页码:4553 / 4562
页数:10
相关论文
共 50 条
  • [41] Optimal Decision Rules for Simple Hypothesis Testing Under General Criterion Involving Error Probabilities
    Dulek, Berkan
    Ozturk, Cuneyd
    Gezici, Sinan
    IEEE SIGNAL PROCESSING LETTERS, 2020, 27 : 261 - 265
  • [42] The quantization dimension of self-similar probabilities
    Graf, S
    Luschgy, H
    MATHEMATISCHE NACHRICHTEN, 2002, 241 : 103 - 109
  • [43] The Effect of Prior Probabilities in the Maximum Likelihood Classification on Individual Classes: A Theoretical Reasoning and Empirical Testing
    Zheng Mingguo
    Cai Qianguo
    Qin Mingzhou
    PHOTOGRAMMETRIC ENGINEERING AND REMOTE SENSING, 2009, 75 (09): : 1109 - 1117
  • [44] THE LOCAL QUANTIZATION BEHAVIOR OF ABSOLUTELY CONTINUOUS PROBABILITIES
    Graf, Siegfried
    Luschgy, Harald
    Pages, Gilles
    ANNALS OF PROBABILITY, 2012, 40 (04): : 1795 - 1828
  • [45] Optimal quantization of probabilities concentrated on small balls
    Kreitmeier, Wolfgang
    FORUM MATHEMATICUM, 2010, 22 (02) : 303 - 326
  • [46] Utilizing Predictive Models to Identify the Influence of Full Prior Distribution in Hypothesis Testing Problems
    Ben-David, Yuval
    Gilboa-Freedman, Gail
    MACHINE LEARNING, OPTIMIZATION, AND DATA SCIENCE (LOD 2021), PT I, 2022, 13163 : 138 - 143
  • [47] Spiked Dirichlet Process Prior for Bayesian Multiple Hypothesis Testing in Random Effects Models
    Kim, Sinae
    Dahl, David B.
    Vannucci, Marina
    BAYESIAN ANALYSIS, 2009, 4 (04): : 707 - 732
  • [48] Blending Bayesian and frequentist methods according to the precision of prior information with applications to hypothesis testing
    Bickel, David R.
    STATISTICAL METHODS AND APPLICATIONS, 2015, 24 (04): : 523 - 546
  • [49] Blending Bayesian and frequentist methods according to the precision of prior information with applications to hypothesis testing
    David R. Bickel
    Statistical Methods & Applications, 2015, 24 : 523 - 546
  • [50] Large-scale multiple hypothesis testing with the normal-beta prime prior
    Bai, Ray
    Ghosh, Malay
    STATISTICS, 2019, 53 (06) : 1210 - 1233