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Comparing sweep strategies for stochastic relaxation

Author

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  • Amit, Y.
  • Grenander, U.

Abstract

The rate of convergence of various sweep strategies of stochastic relaxation for simulating multivariate Gaussian measures are calculated and compared. Each sweep strategy prescribes a method for chosing which coordinates of the random vector are to be updated. Deterministic sweep strategies in which the coordinates are updated according to a fixed order are compared to random strategies in which the coordinate to be updated is chosen through some random mechanism. In addition block updating, in which a few coordinates are updated simultaneously, is compared to single coordinate updating.

Suggested Citation

  • Amit, Y. & Grenander, U., 1991. "Comparing sweep strategies for stochastic relaxation," Journal of Multivariate Analysis, Elsevier, vol. 37(2), pages 197-222, May.
    • Handle: RePEc:eee:jmvana:v:37:y:1991:i:2:p:197-222
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    Cited by:

    1. Levine, Richard A. & Casella, George, 2006. "Optimizing random scan Gibbs samplers," Journal of Multivariate Analysis, Elsevier, vol. 97(10), pages 2071-2100, November.
    2. Yuen, Wai Kong, 2000. "Applications of geometric bounds to the convergence rate of Markov chains on," Stochastic Processes and their Applications, Elsevier, vol. 87(1), pages 1-23, May.
    3. Rosenthal, Jeffrey S., 1996. "Markov chain convergence: From finite to infinite," Stochastic Processes and their Applications, Elsevier, vol. 62(1), pages 55-72, March.
    4. Shephard, N. & Pitt, M.K., 1995. "Likelihood Analysis of Non-Gaussian Parameter-Driven Models," Economics Papers 108, Economics Group, Nuffield College, University of Oxford.
    5. Hwang, Chii-Ruey & Sheu, Shuenn-Jyi, 1998. "On the Geometrical Convergence of Gibbs Sampler inRd," Journal of Multivariate Analysis, Elsevier, vol. 66(1), pages 22-37, July.
    6. Tervonen, Tommi & van Valkenhoef, Gert & Baştürk, Nalan & Postmus, Douwe, 2013. "Hit-And-Run enables efficient weight generation for simulation-based multiple criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 224(3), pages 552-559.

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