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Volumn 22, Issue 5, 2012, Pages 1880-1927

Optimal scaling of random walk metropolis algorithms with discontinuous target densities

Author keywords

Markov chain Monte Carlo; Optimal scaling; Random walk Metropolis

Indexed keywords


EID: 84879075321     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-AAP817     Document Type: Article
Times cited : (32)

References (17)
  • 1
    • 0001077489 scopus 로고
    • Stein's method and Poisson process convergence
    • MR0974580
    • BARBOUR, A. D. (1988). Stein's method and Poisson process convergence. J. Appl. Probab. 25A 175-184. MR0974580
    • (1988) J. Appl. Probab. , vol.25 , pp. 175-184
    • Barbour, A.D.1
  • 3
    • 42649097792 scopus 로고    scopus 로고
    • Weak convergence of Metropolis algorithms for non-i
    • MR2344305
    • BÉDARD, M. (2007).Weak convergence of Metropolis algorithms for non-i.i.d. target distributions. Ann. Appl. Probab. 17 1222-1244. MR2344305
    • (2007) I.d. Target Distributions. Ann. Appl. Probab. , vol.17 , pp. 1222-1244
    • Bédard, M.1
  • 7
    • 0041906743 scopus 로고    scopus 로고
    • From Metropolis to diffusions: Gibbs states and optimal scaling
    • MR1794535
    • BREYER, L. A. and ROBERTS, G. O. (2000). From Metropolis to diffusions: Gibbs states and optimal scaling. Stochastic Process. Appl. 90 181-206. MR1794535
    • (2000) Stochastic Process. Appl. , vol.90 , pp. 181-206
    • Breyer, L.A.1    Roberts, G.O.2
  • 8
    • 16244387937 scopus 로고    scopus 로고
    • Scaling limits for the transient phase of local Metropolis-Hastings algorithms
    • MR2137324
    • CHRISTENSEN, O. F., ROBERTS, G. O. and ROSENTHAL, J. S. (2005). Scaling limits for the transient phase of local Metropolis-Hastings algorithms. J. R. Stat. Soc. Ser. B Stat. Methodol. 67 253-268. MR2137324
    • (2005) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.67 , pp. 253-268
    • Christensen, O.F.1    Roberts, G.O.2    Rosenthal, J.S.3
  • 10
    • 33746863011 scopus 로고    scopus 로고
    • Optimal scaling for partially updating MCMC algorithms
    • MR2244423
    • NEAL, P. and ROBERTS, G. (2006). Optimal scaling for partially updating MCMC algorithms. Ann. Appl. Probab. 16 475-515. MR2244423
    • (2006) Ann. Appl. Probab. , vol.16 , pp. 475-515
    • Neal, P.1    Roberts, G.2
  • 11
    • 42649128773 scopus 로고    scopus 로고
    • Optimal scaling for random walk Metropolis on spherically constrained target densities
    • MR2399684
    • NEAL, P. and ROBERTS, G. (2008). Optimal scaling for random walk Metropolis on spherically constrained target densities. Methodol. Comput. Appl. Probab. 10 277-297. MR2399684
    • (2008) Methodol. Comput. Appl. Probab. , vol.10 , pp. 277-297
    • Neal, P.1    Roberts, G.2
  • 12
    • 79960317109 scopus 로고    scopus 로고
    • Optimal scaling of random walk Metropolis algorithms with non-Gaussian proposals
    • NEAL, P. J. and ROBERTS, G. O. (2011). Optimal scaling of random walk Metropolis algorithms with non-Gaussian proposals. Methodol. Comput. Appl. Probab. 13 583-601.
    • (2011) Methodol. Comput. Appl. Probab. , vol.13 , pp. 583-601
    • Neal, P.J.1    Roberts, G.O.2
  • 14
    • 0031285157 scopus 로고    scopus 로고
    • Weak convergence and optimal scaling of random walk Metropolis algorithms
    • MR1428751
    • ROBERTS, G. O., GELMAN, A. and GILKS, W. R. (1997). Weak convergence and optimal scaling of random walk Metropolis algorithms. Ann. Appl. Probab. 7 110-120. MR1428751
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 110-120
    • Roberts, G.O.1    Gelman, A.2    Gilks, W.R.3
  • 15
    • 0013037129 scopus 로고    scopus 로고
    • Optimal scaling for various Metropolis-Hastings algorithms
    • MR1888450
    • ROBERTS, G. O. and ROSENTHAL, J. S. (2001). Optimal scaling for various Metropolis-Hastings algorithms. Statist. Sci. 16 351-367. MR1888450
    • (2001) Statist. Sci. , vol.16 , pp. 351-367
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 17
    • 72249090639 scopus 로고    scopus 로고
    • Optimal scaling of the random walk Metropolis on elliptically symmetric unimodal targets
    • MR2555199
    • SHERLOCK, C. and ROBERTS, G. (2009). Optimal scaling of the random walk Metropolis on elliptically symmetric unimodal targets. Bernoulli 15 774-798. MR2555199
    • (2009) Bernoulli , vol.15 , pp. 774-798
    • Sherlock, C.1    Roberts, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.