A conjugate prior distribution for Bayesian analysis of the Power-Law Process

被引:0
|
作者
Do, V. C. [1 ]
Gouno, E. [1 ]
机构
[1] Univ Bretagne Sud, Lab Math Bretagne Atlantique, Lorient, France
关键词
NONHOMOGENEOUS POISSON-PROCESS; INFERENCE;
D O I
暂无
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
This paper focuses on the Bayesian analysis of the Power-Law Process. We investigate the possibility of a natural conjugate prior. Relying on the work of Huang and Bier (1998), we introduce and study the H-B distribution. This distribution is a natural conjugate prior since the posterior distribution is a HB-distribution. We describe a strategy to draw out the prior distribution parameters. Results on simulated and real data are displayed.
引用
收藏
页码:3 / 8
页数:6
相关论文
共 50 条
  • [1] Bayesian analysis on a natural conjugate prior for the nonhomogeneous Poisson process with a power-law intensity under time-truncated sampling
    Huang, Po-Yao
    Huang, Yeu-Shiang
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024,
  • [2] Bayesian inference and prediction analysis of the power law process based on a natural conjugate prior
    Wang, Yan-Ping
    Lu, Zhen-Zhou
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2015, 85 (05) : 881 - 898
  • [3] Bayesian Inference and Prediction Analysis of the Power Law Process Based on a Gamma Prior Distribution
    Wang, Yan-Ping
    Lu, Zhen-Zhou
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2011, 40 (09) : 1383 - 1401
  • [4] BAYESIAN RELIABILITY APPROACH TO THE POWER LAW PROCESS WITH SENSITIVITY ANALYSIS TO PRIOR SELECTION
    Molinares, Carlos A.
    Tsokos, Chris P.
    INTERNATIONAL JOURNAL OF RELIABILITY QUALITY & SAFETY ENGINEERING, 2013, 20 (01):
  • [5] Robust Bayesian analysis for the power law process
    Petro, B
    Guglielmi, A
    Rossi, F
    AMERICAN STATISTICAL ASSOCIATION - 1996 PROCEEDINGS OF THE SECTION ON BAYESIAN STATISTICAL SCIENCE, 1996, : 288 - 291
  • [6] Power-law distribution in a learning process: competition, learning and natural selection
    Gupta, HM
    Campanha, JR
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 345 (1-2) : 267 - 274
  • [7] Bayesian network classifier based on conjugate prior distribution
    Yang, Ying-Tao
    Wang, Yue-Gang
    Deng, Wei-Qiang
    Xu, Hong-Tao
    Kongzhi yu Juece/Control and Decision, 2012, 27 (09): : 1393 - 1396
  • [8] Power-law distribution of acid deposition
    Zhu, JL
    Liu, ZG
    INTERNATIONAL JOURNAL OF ENVIRONMENT AND POLLUTION, 2003, 19 (01) : 11 - 21
  • [9] STABILITY AND RELAXATION OF POWER-LAW DISTRIBUTION
    TAKAYASU, H
    PROVATA, A
    TAKAYASU, M
    PHYSICAL REVIEW A, 1990, 42 (12): : 7087 - 7090
  • [10] Online Reviews' Trustworthiness Analysis Based on Power-law Distribution
    Yao QiChang
    Feng Xin
    Sun Qiming
    CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING, PTS 1-4, 2014, 838-841 : 3260 - 3267