IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v54y2010i3p688-697.html
   My bibliography  Save this article

Distributed evolutionary Monte Carlo for Bayesian computing

Author

Listed:
  • Hu, Bo
  • Tsui, Kam-Wah

Abstract

Sampling from a multimodal and high-dimensional target distribution posits a great challenge in Bayesian analysis. A new Markov chain Monte Carlo algorithm Distributed Evolutionary Monte Carlo (DGMC) is proposed for real-valued problems, which combines the attractive features of the distributed genetic algorithm and the Markov chain Monte Carlo. The DGMC algorithm evolves a population of Markov chains through some genetic operators to simulate the target function. Theoretical justification proves that the DGMC algorithm has the target function as its stationary distribution. The effectiveness of the DGMC algorithm is illustrated by simulating two multimodal distributions and an application to a real data example.

Suggested Citation

  • Hu, Bo & Tsui, Kam-Wah, 2010. "Distributed evolutionary Monte Carlo for Bayesian computing," Computational Statistics & Data Analysis, Elsevier, vol. 54(3), pages 688-697, March.
    • Handle: RePEc:eee:csdana:v:54:y:2010:i:3:p:688-697
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(08)00491-X
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Roberts, G. O. & Gilks, W. R., 1994. "Convergence of Adaptive Direction Sampling," Journal of Multivariate Analysis, Elsevier, vol. 49(2), pages 287-298, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Spezia, Luigi, 2020. "Bayesian variable selection in non-homogeneous hidden Markov models through an evolutionary Monte Carlo method," Computational Statistics & Data Analysis, Elsevier, vol. 143(C).
    2. Rigat, F. & Mira, A., 2012. "Parallel hierarchical sampling: A general-purpose interacting Markov chains Monte Carlo algorithm," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1450-1467.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bauwens, Luc & Bos, Charles S. & van Dijk, Herman K. & van Oest, Rutger D., 2004. "Adaptive radial-based direction sampling: some flexible and robust Monte Carlo integration methods," Journal of Econometrics, Elsevier, vol. 123(2), pages 201-225, December.
    2. repec:jss:jstsof:07:i04 is not listed on IDEAS
    3. Bo Hu & Yuan Ji & Kam-Wah Tsui, 2008. "Bayesian Estimation of Inverse Dose Response," Biometrics, The International Biometric Society, vol. 64(4), pages 1223-1230, December.
    4. Takefumi Yamazaki, 2018. "Financial friction sources in emerging economies: Structural estimation of sovereign default models," Discussion papers ron303, Policy Research Institute, Ministry of Finance Japan.
    5. Tore Selland Kleppe, 2016. "Adaptive Step Size Selection for Hessian-Based Manifold Langevin Samplers," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(3), pages 788-805, September.
    6. Ross Corkrey & Tom A McMeekin & John P Bowman & David A Ratkowsky & June Olley & Tom Ross, 2014. "Protein Thermodynamics Can Be Predicted Directly from Biological Growth Rates," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-15, May.
    7. Hoogerheide, L.F. & van Dijk, H.K. & van Oest, R.D., 2007. "Simulation based bayesian econometric inference: principles and some recent computational advances," Econometric Institute Research Papers EI 2007-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    8. Mbalawata, Isambi S. & Särkkä, Simo & Vihola, Matti & Haario, Heikki, 2015. "Adaptive Metropolis algorithm using variational Bayesian adaptive Kalman filter," Computational Statistics & Data Analysis, Elsevier, vol. 83(C), pages 101-115.
    9. Ricardo S. Ehlers & Stephen P. Brooks, 2008. "Adaptive Proposal Construction for Reversible Jump MCMC," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 35(4), pages 677-690, December.
    10. Wang, Zhonglei, 2019. "Markov chain Monte Carlo sampling using a reservoir method," Computational Statistics & Data Analysis, Elsevier, vol. 139(C), pages 64-74.
    11. Emmanuel C. Mamatzakis & Mike G. Tsionas, 2020. "Revealing forecaster's preferences: A Bayesian multivariate loss function approach," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 39(3), pages 412-437, April.
    12. Rigat, F. & Mira, A., 2012. "Parallel hierarchical sampling: A general-purpose interacting Markov chains Monte Carlo algorithm," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1450-1467.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:csdana:v:54:y:2010:i:3:p:688-697. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.