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Volumn 50, Issue 1, 2013, Pages 1-15

Optimal scaling of the random walk metropolis: General criteria for the 0.234 acceptance rule

Author keywords

Optimal acceptance rate; Optimal scaling; Random walk metropolis

Indexed keywords


EID: 84879076994     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1363784420     Document Type: Article
Times cited : (11)

References (15)
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  • 2
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    • Bedard, M. (2007). Weak convergence of Metropolis algorithms for non-i.i.d. target distributions. Ann. Appl. Prob. 17, 1222-1244.
    • (2007) Ann. Appl. Prob. , vol.17 , pp. 1222-1244
    • Bedard, M.1
  • 3
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    • Bedard, M. (2008). Optimal acceptance rates for Metropolis algorithms: moving beyond 0.234. Stock. Process. Appl. 118, 2198-2222.
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    • Bedard, M.1
  • 4
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    • Optimal scalings for local metropolis-Hastings chains on nonproduct targets in high dimensions
    • Beskos, A., Roberts, G. and Stuart, A. (2009). Optimal scalings for local Metropolis-Hastings chains on nonproduct targets in high dimensions. Ann. Appl. Prob. 19, 863-898.
    • (2009) Ann. Appl. Prob. , vol.19 , pp. 863-898
    • Beskos, A.1    Roberts, G.2    Stuart, A.3
  • 5
    • 0041906743 scopus 로고    scopus 로고
    • From metropolis to diffusions: Gibbs states and optimal scaling
    • Breyer, L. A. and Roberts, G. O. (2000). From Metropolis to diffusions: Gibbs states and optimal scaling. Stock. Process. Appl. 90, 181-206.
    • (2000) Stock. Process. Appl. , vol.90 , pp. 181-206
    • Breyer, L.A.1    Roberts, G.O.2
  • 6
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    • Prentice-Hall, Upper Saddle River, NJ
    • Folland, G. B. (2002). Advanced Calculus. Prentice-Hall, Upper Saddle River, NJ.
    • (2002) Advanced Calculus
    • Folland, G.B.1
  • 8
    • 5744249209 scopus 로고
    • Equations of state calculations by fast computing machines
    • Metropolis, N. et al. (1953). Equations of state calculations by fast computing machines. J. Chem. Phys. 21, 1087-1091.
    • (1953) J. Chem. Phys. , vol.21 , pp. 1087-1091
    • Metropolis, N.1
  • 9
    • 42649128773 scopus 로고    scopus 로고
    • Optimal scaling for random walk Metropolis on spherically constrained target densities
    • Neal, P and Roberts, G. (2008). Optimal scaling for random walk Metropolis on spherically constrained target densities. Methodology Comput. Appl. Prob. 10, 277-297.
    • (2008) Methodology Comput. Appl. Prob. , vol.10 , pp. 277-297
    • Neal, P.1    Roberts, G.2
  • 10
    • 0042908776 scopus 로고    scopus 로고
    • Optimal metropolis algorithms for product measures on the vertices of a hypercube
    • Roberts, G. O. (1998). Optimal Metropolis algorithms for product measures on the vertices of a hypercube. Stock. Stock. 62, 275-283.
    • (1998) Stock. Stock. , vol.62 , pp. 275-283
    • Roberts, G.O.1
  • 11
    • 0013037129 scopus 로고    scopus 로고
    • Optimal scaling for various metropolis-hastings algorithms
    • Roberts, G. O. and Rosenthal, J. S. (2001). Optimal scaling for various Metropolis-Hastings algorithms. Statist. Sci. 16, 351-367.
    • (2001) Statist. Sci. , vol.16 , pp. 351-367
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 12
    • 0031285157 scopus 로고    scopus 로고
    • Weak convergence and optimal scaling of random walk Metropolis algorithms
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    • (1997) Ann. Appl. Prob. , vol.7 , pp. 110-120
    • Roberts, G.O.1    Gelman, A.2    Gilks, W.R.3
  • 14
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    • A subclass of spherical and elliptical distributions with Gaussian-like limit properties
    • Sherlock, C. and Elton, D. (2012). A subclass of spherical and elliptical distributions with Gaussian-like limit properties. J. Prob. Statist. 2012, 17pp.
    • (2012) J. Prob. Statist. 2012 , pp. 17
    • Sherlock, C.1    Elton, D.2
  • 15
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    • Optimal scaling of the random walk Metropolis on elliptically symmetric unimodal targets
    • Sherlock, C. and Roberts, G. (2009). Optimal scaling of the random walk Metropolis on elliptically symmetric unimodal targets. Bernoulli 15, 774-798.
    • (2009) Bernoulli , vol.15 , pp. 774-798
    • Sherlock, C.1    Roberts, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.