A Bayesian analysis of the Bingham distribution

被引:6
|
作者
Walker, Stephen G. [1 ]
机构
[1] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7NZ, Kent, England
关键词
Latent variables; Markov chain Monte Carlo; normalizing constant; posterior distribution; MONTE-CARLO METHODS; NORMALIZING CONSTANT; GIBBS SAMPLER; COMPUTATION;
D O I
10.1214/12-BJPS193
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
This paper provides a means, using latent variables, to undertake a Bayesian analysis for the Bingham distribution. To date, this has been problematic due to a nonclosed form for the normalizing constant. Previous approaches have relied on approximating the constant; something which is unnecessary in the method adopted here.
引用
收藏
页码:61 / 72
页数:12
相关论文
共 50 条
  • [41] The 8-parameter Fisher–Bingham distribution on the sphere
    Tianlu Yuan
    Computational Statistics, 2021, 36 : 409 - 420
  • [42] NORMALIZING CONSTANT FOR THE BINGHAM-VONMISESFISHER MATRIX DISTRIBUTION
    DEWAAL, DJ
    SOUTH AFRICAN STATISTICAL JOURNAL, 1979, 13 (02) : 103 - 112
  • [43] Applying Bayesian network to distribution system reliability analysis
    Wang, CS
    Xie, YH
    TENCON 2004 - 2004 IEEE REGION 10 CONFERENCE, VOLS A-D, PROCEEDINGS: ANALOG AND DIGITAL TECHNIQUES IN ELECTRICAL ENGINEERING, 2004, : C562 - C565
  • [44] Objective Bayesian Analysis for Log-logistic Distribution
    Abbas, Kamran
    Tang, Yincai
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2016, 45 (08) : 2782 - 2791
  • [45] Bayesian Survival Analysis of Generalized DUS Exponential Distribution
    AbuJarad, Mohammed H.
    Khan, Athar Ali
    AbuJarad, Eman S. A.
    AUSTRIAN JOURNAL OF STATISTICS, 2020, 49 (05) : 80 - 95
  • [46] A Bayesian analysis of Generalized Pareto Distribution of runoff minima
    Liu, Youcun
    Lu, Miaojie
    Huo, Xueli
    Hao, Yonghong
    Gao, Hongkai
    Liu, Yan
    Fan, Yonghui
    Cui, Yuhuan
    Metivier, Francois
    HYDROLOGICAL PROCESSES, 2016, 30 (03) : 424 - 432
  • [47] Bayesian analysis based on the Jeffreys prior for the hyperbolic distribution
    Fonseca, Thais C. O.
    Migon, Helio S.
    Ferreira, Marco A. R.
    BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2012, 26 (04) : 327 - 343
  • [48] Bayesian analysis of a probability distribution for local intensity attenuation
    Rotondi, R
    Zonno, G
    ANNALS OF GEOPHYSICS, 2004, 47 (05) : 1521 - 1540
  • [49] A Bayesian Analysis for the Parameters of the Exponential-Logarithmic Distribution
    Moala, Fernando A.
    Garcia, Livia M.
    QUALITY ENGINEERING, 2013, 25 (03) : 282 - 291
  • [50] BAYESIAN-ANALYSIS OF A GENERALIZED POISSON-DISTRIBUTION
    SHOUKRI, MM
    CONSUL, PC
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1989, 18 (04) : 1465 - 1480