-
1
-
-
46349083014
-
A tail inequality for suprema of unbounded empirical processes with applications to Markov chains
-
MR2424985
-
Adamczak, R. (2008). A tail inequality for suprema of unbounded empirical processes with applications to Markov chains. Electron. J. Probab. 13 1000-1034. MR2424985
-
(2008)
Electron. J. Probab.
, vol.13
, pp. 1000-1034
-
-
Adamczak, R.1
-
2
-
-
0002103664
-
On the Markov chain simulation method for uniform combinatorial distributions and simulated annealing
-
Aldous, D. (1987). On the Markov chain simulation method for uniform combinatorial distributions and simulated annealing. Probab. Engrg. Inform. Sci. 1 33-46.
-
(1987)
Probab. Engrg. Inform. Sci
, vol.1
, pp. 33-46
-
-
Aldous, D.1
-
3
-
-
0000991156
-
A new approach to the limit theory of recurrent Markov chains
-
MR0511425
-
Athreya, K.B. and Ney, P. (1978). A new approach to the limit theory of recurrent Markov chains. Trans. Amer. Math. Soc. 245 493-501. MR0511425
-
(1978)
Trans. Amer. Math. Soc
, vol.245
, pp. 493-501
-
-
Athreya, K.B.1
Ney, P.2
-
4
-
-
14544277112
-
Renewal theory and computable convergence rates for geometrically ergodic Markov chains
-
MR2114987
-
Baxendale, P.H. (2005). Renewal theory and computable convergence rates for geometrically ergodic Markov chains. Ann. Appl. Probab. 15 700-738. MR2114987
-
(2005)
Ann. Appl. Probab
, vol.15
, pp. 700-738
-
-
Baxendale, P.H.1
-
5
-
-
39049143299
-
A regeneration proof of the central limit theorem for uniformly ergodic Markov chains
-
MR2386065
-
Bednorz, W., Łatuszyński, K. and Latała, R. (2008). A regeneration proof of the central limit theorem for uniformly ergodic Markov chains. Electron. Commun. Probab. 13 85-98. MR2386065
-
(2008)
Electron. Commun. Probab
, vol.13
, pp. 85-98
-
-
Bednorz, W.1
Łatuszyński, K.2
Latała, R.3
-
6
-
-
78649247463
-
Sharp bounds for the tails of functionals of Markov chains
-
Bertail, P. and Clémençon, S. (2010). Sharp bounds for the tails of functionals of Markov chains. Theory Probab. Appl. 54 1-19.
-
(2010)
Theory Probab. Appl
, vol.54
, pp. 1-19
-
-
Bertail, P.1
Clémençon, S.2
-
7
-
-
18044400209
-
Moment and probability inequalities for sums of bounded additive functionals of regular Markov chains via the nummelin splitting technique
-
MR1867526
-
Clémençon, S.J.M. (2001). Moment and probability inequalities for sums of bounded additive functionals of regular Markov chains via the Nummelin splitting technique. Statist. Probab. Lett. 55 227-238. MR1867526
-
(2001)
Statist. Probab. Lett
, vol.55
, pp. 227-238
-
-
Clémençon, S.J.M.1
-
9
-
-
21244433219
-
Practical drift conditions for subgeometric rates of convergence
-
MR2071426
-
Douc, R., Fort, G., Moulines, E. and Soulier, P. (2004). Practical drift conditions for subgeometric rates of convergence. Ann. Appl. Probab. 14 1353-1377. MR2071426
-
(2004)
Ann. Appl. Probab
, vol.14
, pp. 1353-1377
-
-
Douc, R.1
Fort, G.2
Moulines, E.3
Soulier, P.4
-
10
-
-
77951786563
-
Bounds on regeneration times and limit theorems for subgeometric Markov chains
-
MR2446322
-
Douc, R., Guillin, A. and Moulines, E. (2008). Bounds on regeneration times and limit theorems for subgeometric Markov chains. Ann. Inst. Henri Poincaré Probab. Stat. 44 239-257. MR2446322
-
(2008)
Ann. Inst. Henri Poincaré Probab. Stat
, vol.44
, pp. 239-257
-
-
Douc, R.1
Guillin, A.2
Moulines, E.3
-
11
-
-
14544282666
-
Quantitative bounds on convergence of timeinhomogeneous Markov chains
-
MR2099647
-
Douc, R., Moulines, E. and Rosenthal, J.S. (2004). Quantitative bounds on convergence of timeinhomogeneous Markov chains. Ann. Appl. Probab. 14 1643-1665. MR2099647
-
(2004)
Ann. Appl. Probab
, vol.14
, pp. 1643-1665
-
-
Douc, R.1
Moulines, E.2
Rosenthal, J.S.3
-
12
-
-
47249094432
-
Computable convergence rates for sub-geometric ergodic Markov chains
-
MR2348753
-
Douc, R., Moulines, E. and Soulier, P. (2007). Computable convergence rates for sub-geometric ergodic Markov chains. Bernoulli 13 831-848. MR2348753
-
(2007)
Bernoulli
, vol.13
, pp. 831-848
-
-
Douc, R.1
Moulines, E.2
Soulier, P.3
-
14
-
-
0000580574
-
V-subgeometric ergodicity for a hastings-metropolis algorithm
-
MR1796485
-
Fort, G. and Moulines, E. (2000). V-subgeometric ergodicity for a Hastings-Metropolis algorithm. Statist. Probab. Lett. 49 401-410. MR1796485
-
(2000)
Statist. Probab. Lett
, vol.49
, pp. 401-410
-
-
Fort, G.1
Moulines, E.2
-
15
-
-
0042358780
-
Convergence of the Monte Carlo expectation maximization for curved exponential families
-
MR2001649
-
Fort, G. and Moulines, E. (2003). Convergence of the Monte Carlo expectation maximization for curved exponential families. Ann. Statist. 31 1220-1259. MR2001649
-
(2003)
Ann. Statist
, vol.31
, pp. 1220-1259
-
-
Fort, G.1
Moulines, E.2
-
16
-
-
0037210788
-
Polynomial ergodicity of Markov transition kernels
-
MR1947960
-
Fort, G. and Moulines, E. (2003). Polynomial ergodicity of Markov transition kernels. Stochastic Process. Appl. 103 57-99. MR1947960
-
(2003)
Stochastic Process. Appl
, vol.103
, pp. 57-99
-
-
Fort, G.1
Moulines, E.2
-
17
-
-
0037573237
-
On the geometric ergodicity of hybrid samplers
-
MR1953771
-
Fort, G., Moulines, E., Roberts, G.O. and Rosenthal, J.S. (2003). On the geometric ergodicity of hybrid samplers. J. Appl. Probab. 40 123-146. MR1953771
-
(2003)
J. Appl. Probab
, vol.40
, pp. 123-146
-
-
Fort, G.1
Moulines, E.2
Roberts, G.O.3
Rosenthal, J.S.4
-
18
-
-
84950453304
-
Sampling-based approaches to calculating marginal densities
-
MR1141740
-
Gelfand, A.E. and Smith, A.F.M. (1990). Sampling-based approaches to calculating marginal densities. J. Amer. Statist. Assoc. 85 398-409. MR1141740
-
(1990)
J. Amer. Statist. Assoc
, vol.85
, pp. 398-409
-
-
Gelfand, A.E.1
Smith, A.F.M.2
-
19
-
-
0000646152
-
A chernoff bound for random walks on expander graphs
-
MR1621958
-
Gillman, D. (1998). A Chernoff bound for random walks on expander graphs. SIAM J. Comput. 27 1203-1220. MR1621958
-
(1998)
SIAM J. Comput
, vol.27
, pp. 1203-1220
-
-
Gillman, D.1
-
20
-
-
0037079674
-
Hoeffding's inequality for uniformly ergodic Markov chains
-
MR1881167
-
Glynn, P.W. and Ormoneit, D. (2002). Hoeffding's inequality for uniformly ergodic Markov chains. Statist. Probab. Lett. 56 143-146. MR1881167
-
(2002)
Statist. Probab. Lett
, vol.56
, pp. 143-146
-
-
Glynn, P.W.1
Ormoneit, D.2
-
21
-
-
0038569359
-
Geometric ergodicity of gibbs and block gibbs samplers for a hierarchical random effects model
-
MR1659196
-
Hobert, J.P. and Geyer, C.J. (1998). Geometric ergodicity of Gibbs and block Gibbs samplers for a hierarchical random effects model. J. Multivariate Anal. 67 414-430. MR1659196
-
(1998)
J. Multivariate Anal
, vol.67
, pp. 414-430
-
-
Hobert, J.P.1
Geyer, C.J.2
-
22
-
-
0036117479
-
Polynomial convergence rates of Markov chains
-
MR1890063
-
Jarner, S.F. and Roberts, G.O. (2002). Polynomial convergence rates of Markov chains. Ann. Appl. Probab. 12 224-247. MR1890063
-
(2002)
Ann. Appl. Probab
, vol.12
, pp. 224-247
-
-
Jarner, S.F.1
Roberts, G.O.2
-
23
-
-
36749103743
-
Convergence of heavy-tailed Monte Carlo Markov chain algorithms
-
MR2396939
-
Jarner, S.F. and Roberts, G.O. (2007). Convergence of heavy-tailed Monte Carlo Markov chain algorithms. Scand. J. Statist. 34 781-815. MR2396939
-
(2007)
Scand. J. Statist
, vol.34
, pp. 781-815
-
-
Jarner, S.F.1
Roberts, G.O.2
-
24
-
-
33747336738
-
Necessary conditions for geometric and polynomial ergodicity of random-walk-type Markov chains
-
MR1996270
-
Jarner, S.F. and Tweedie, R.L. (2003). Necessary conditions for geometric and polynomial ergodicity of random-walk-type Markov chains. Bernoulli 9 559-578. MR1996270
-
(2003)
Bernoulli
, vol.9
, pp. 559-578
-
-
Jarner, S.F.1
Tweedie, R.L.2
-
25
-
-
38249043088
-
Random generation of combinatorial structures from a uniform distribution
-
MR0855970
-
Jerrum, M.R., Valiant, L.G. and Vazirani, V.V. (1986). Random generation of combinatorial structures from a uniform distribution. Theoret. Comput. Sci. 43 169-188. MR0855970
-
(1986)
Theoret. Comput. Sci
, vol.43
, pp. 169-188
-
-
Jerrum, M.R.1
Valiant, L.G.2
Vazirani, V.V.3
-
27
-
-
78649758959
-
Gibbs sampling for a Bayesian hierarchical general linear model
-
MR2645487
-
Johnson, A.A. and Jones, G.L. (2010). Gibbs sampling for a Bayesian hierarchical general linear model. Electron. J. Stat. 4 313-333. MR2645487
-
(2010)
Electron. J. Stat
, vol.4
, pp. 313-333
-
-
Johnson, A.A.1
Jones, G.L.2
-
28
-
-
33846101238
-
Fixed-width output analysis for Markov chain Monte Carlo
-
MR2279478
-
Jones, G.L., Haran, M., Caffo, B.S. and Neath, R. (2006). Fixed-width output analysis for Markov chain Monte Carlo. J. Amer. Statist. Assoc. 101 1537-1547. MR2279478
-
(2006)
J. Amer. Statist. Assoc
, vol.101
, pp. 1537-1547
-
-
Jones, G.L.1
Haran, M.2
Caffo, B.S.3
Neath, R.4
-
29
-
-
0000154395
-
Honest exploration of intractable probability distributions via Markov chain Monte Carlo
-
MR1888447
-
Jones, G.L. and Hobert, J.P. (2001). Honest exploration of intractable probability distributions via Markov chain Monte Carlo. Statist. Sci. 16 312-334. MR1888447
-
(2001)
Statist. Sci
, vol.16
, pp. 312-334
-
-
Jones, G.L.1
Hobert, J.P.2
-
30
-
-
24344493048
-
Sufficient burn-in for gibbs samplers for a hierarchical random effects model
-
MR2060178
-
Jones, G.L. and Hobert, J.P. (2004). Sufficient burn-in for Gibbs samplers for a hierarchical random effects model. Ann. Statist. 32 784-817. MR2060178
-
(2004)
Ann. Statist
, vol.32
, pp. 784-817
-
-
Jones, G.L.1
Hobert, J.P.2
-
31
-
-
77957893645
-
Curvature, concentration and error estimates for Markov chain Monte Carlo
-
MR2683634
-
Joulin, A. and Ollivier, Y. (2010). Curvature, concentration and error estimates for Markov chain Monte Carlo. Ann. Probab. 38 2418-2442. MR2683634
-
(2010)
Ann. Probab
, vol.38
, pp. 2418-2442
-
-
Joulin, A.1
Ollivier, Y.2
-
32
-
-
61849181973
-
Concentration inequalities for dependent random variables via the martingale method
-
MR2478678
-
Kontorovich, L. and Ramanan, K. (2008). Concentration inequalities for dependent random variables via the martingale method. Ann. Probab. 36 2126-2158. MR2478678
-
(2008)
Ann. Probab
, vol.36
, pp. 2126-2158
-
-
Kontorovich, L.1
Ramanan, K.2
-
33
-
-
33749435449
-
Relative entropy and exponential deviation bounds for general Markov chains
-
Adelaide, Australia: IEEE
-
Kontoyiannis, I., Lastras-Montano, L.A. and Meyn, S.P. (2005). Relative entropy and exponential deviation bounds for general Markov chains. In IEEE, International Symposium on Information Theory 1563-1567. Adelaide, Australia: IEEE.
-
(2005)
IEEE, International Symposium on Information Theory
, pp. 1563-1567
-
-
Kontoyiannis, I.1
Lastras-Montano, L.A.2
Meyn, S.P.3
-
35
-
-
78649724375
-
Rigorous confidence bounds for MCMC under a geometric drift condition
-
MR2745298
-
Łatuszyński, K. and Niemiro, W. (2011). Rigorous confidence bounds for MCMC under a geometric drift condition. J. Complexity 27 23-38. MR2745298
-
(2011)
J. Complexity
, vol.27
, pp. 23-38
-
-
Łatuszyński, K.1
Niemiro, W.2
-
36
-
-
26844496127
-
Optimal hoeffding bounds for discrete reversible Markov chains
-
MR2052909
-
León, C.A. and Perron, F. (2004). Optimal Hoeffding bounds for discrete reversible Markov chains. Ann. Appl. Probab. 14 958-970. MR2052909
-
(2004)
Ann. Appl. Probab
, vol.14
, pp. 958-970
-
-
León, C.A.1
Perron, F.2
-
37
-
-
0009061218
-
On excess over the boundary
-
MR0254981
-
Lorden, G. (1970). On excess over the boundary. Ann. Math. Statist. 41 520-527. MR0254981
-
(1970)
Ann. Math. Statist
, vol.41
, pp. 520-527
-
-
Lorden, G.1
-
38
-
-
0030086282
-
Geometric convergence rates for stochastically ordered Markov chains
-
MR1385873
-
Lund, R.B. and Tweedie, R.L. (1996). Geometric convergence rates for stochastically ordered Markov chains. Math. Oper. Res. 21 182-194. MR1385873
-
(1996)
Math. Oper. Res
, vol.21
, pp. 182-194
-
-
Lund, R.B.1
Tweedie, R.L.2
-
39
-
-
2142729827
-
Geometric ergodicity of van dyk and meng's algorithm for the multivariate student's t model
-
MR2054301
-
Marchev, D. and Hobert, J.P. (2004). Geometric ergodicity of van Dyk and Meng's algorithm for the multivariate Student's t model. J. Amer. Statist. Assoc. 99 228-238. MR2054301
-
(2004)
J. Amer. Statist. Assoc
, vol.99
, pp. 228-238
-
-
Marchev, D.1
Hobert, J.P.2
-
40
-
-
0030557447
-
A measure concentration inequality for contracting Markov chains
-
MR1392329
-
Marton, K. (1996). A measure concentration inequality for contracting Markov chains. Geom. Funct. Anal. 6 556-571. MR1392329
-
(1996)
Geom. Funct. Anal
, vol.6
, pp. 556-571
-
-
Marton, K.1
-
41
-
-
36249005432
-
Simple Monte Carlo and the metropolis algorithm
-
MR2372022
-
Mathé, P. and Novak, E. (2007). Simple Monte Carlo and the Metropolis algorithm. J. Complexity 23 673-696. MR2372022
-
(2007)
J. Complexity
, vol.23
, pp. 673-696
-
-
Mathé, P.1
Novak, E.2
-
43
-
-
0000566364
-
Computable bounds for geometric convergence rates of Markov chains
-
MR1304770
-
Meyn, S.P. and Tweedie, R.L. (1994). Computable bounds for geometric convergence rates of Markov chains. Ann. Appl. Probab. 4 981-1011. MR1304770
-
(1994)
Ann. Appl. Probab
, vol.4
, pp. 981-1011
-
-
Meyn, S.P.1
Tweedie, R.L.2
-
44
-
-
21844481621
-
Regeneration in Markov chain samplers
-
MR1325131
-
Mykland, P., Tierney, L. and Yu, B. (1995). Regeneration in Markov chain samplers. J. Amer. Statist. Assoc. 90 233-241. MR1325131
-
(1995)
J. Amer. Statist. Assoc
, vol.90
, pp. 233-241
-
-
Mykland, P.1
Tierney, L.2
Yu, B.3
-
45
-
-
67949089777
-
Fixed precision MCMC estimation by median of products of averages
-
MR2535815
-
Niemiro, W. and Pokarowski, P. (2009). Fixed precision MCMC estimation by median of products of averages. J. Appl. Probab. 46 309-329. MR2535815
-
(2009)
J. Appl. Probab
, vol.46
, pp. 309-329
-
-
Niemiro, W.1
Pokarowski, P.2
-
46
-
-
0000427555
-
A splitting technique for harris recurrent Markov chains
-
MR0501353
-
Nummelin, E. (1978). A splitting technique for Harris recurrent Markov chains. Z. Wahrsch. Verw. Gebiete 43 309-318. MR0501353
-
(1978)
Z. Wahrsch. Verw. Gebiete
, vol.43
, pp. 309-318
-
-
Nummelin, E.1
-
48
-
-
50649109863
-
Stability of the gibbs sampler for Bayesian hierarchical models
-
MR2387965
-
Papaspiliopoulos, O. and Roberts, G. (2008). Stability of the Gibbs sampler for Bayesian hierarchical models. Ann. Statist. 36 95-117. MR2387965
-
(2008)
Ann. Statist
, vol.36
, pp. 95-117
-
-
Papaspiliopoulos, O.1
Roberts, G.2
-
49
-
-
0000166052
-
Small and pseudo-small sets for Markov chains
-
MR1853437
-
Roberts, G.O. and Rosenthal, J.S. (2001). Small and pseudo-small sets for Markov chains. Stoch. Models 17 121-145. MR1853437
-
(2001)
Stoch. Models
, vol.17
, pp. 121-145
-
-
Roberts, G.O.1
Rosenthal, J.S.2
-
50
-
-
84890736685
-
General state space Markov chains and MCMC algorithms
-
MR2095565
-
Roberts, G.O. and Rosenthal, J.S. (2004). General state space Markov chains and MCMC algorithms. Probab. Surv. 1 20-71. MR2095565
-
(2004)
Probab. Surv.
, vol.1
, pp. 20-71
-
-
Roberts, G.O.1
Rosenthal, J.S.2
-
51
-
-
79954642392
-
Quantitative non-geometric convergence bounds for independence samplers
-
MR2788864
-
Roberts, G.O. and Rosenthal, J.S. (2011). Quantitative non-geometric convergence bounds for independence samplers. Methodol. Comput. Appl. Probab. 13 391-403. MR2788864
-
(2011)
Methodol. Comput. Appl. Probab.
, vol.13
, pp. 391-403
-
-
Roberts, G.O.1
Rosenthal, J.S.2
-
52
-
-
0001514831
-
Bounds on regeneration times and convergence rates for Markov chains
-
MR1682243
-
Roberts, G.O. and Tweedie, R.L. (1999). Bounds on regeneration times and convergence rates for Markov chains. Stochastic Process. Appl. 80 211-229. MR1682243
-
(1999)
Stochastic Process. Appl.
, vol.80
, pp. 211-229
-
-
Roberts, G.O.1
Tweedie, R.L.2
-
53
-
-
84923618271
-
Minorization conditions and convergence rates for Markov chain Monte Carlo
-
MR1340509
-
Rosenthal, J.S. (1995). Minorization conditions and convergence rates for Markov chain Monte Carlo. J. Amer. Statist. Assoc. 90 558-566. MR1340509
-
(1995)
J. Amer. Statist. Assoc.
, vol.90
, pp. 558-566
-
-
Rosenthal, J.S.1
-
54
-
-
0001096889
-
Rates of convergence for gibbs sampling for variance component models
-
MR1345197
-
Rosenthal, J.S. (1995). Rates of convergence for Gibbs sampling for variance component models. Ann. Statist. 23 740-761. MR1345197
-
(1995)
Ann. Statist.
, vol.23
, pp. 740-761
-
-
Rosenthal, J.S.1
-
55
-
-
3042638629
-
Quantitative convergence rates of Markov chains: A simple account
-
(electronic). MR1917546
-
Rosenthal, J.S. (2002). Quantitative convergence rates of Markov chains: A simple account. Electron. Commun. Probab. 7 123-128 (electronic). MR1917546
-
(2002)
Electron. Commun. Probab.
, vol.7
, pp. 123-128
-
-
Rosenthal, J.S.1
-
56
-
-
77249126849
-
On Monte Carlo methods for Bayesian multivariate regression models with heavy-tailed errors
-
MR2595301
-
Roy, V. and Hobert, J.P. (2010). On Monte Carlo methods for Bayesian multivariate regression models with heavy-tailed errors. J. Multivariate Anal. 101 1190-1202. MR2595301
-
(2010)
J. Multivariate Anal.
, vol.101
, pp. 1190-1202
-
-
Roy, V.1
Hobert, J.P.2
-
57
-
-
56949096369
-
Explicit error bounds for lazy reversible Markov chain Monte Carlo
-
MR2475305
-
Rudolf, D. (2009). Explicit error bounds for lazy reversible Markov chain Monte Carlo. J. Complexity 25 11-24. MR2475305
-
(2009)
J. Complexity
, vol.25
, pp. 11-24
-
-
Rudolf, D.1
-
58
-
-
0034336998
-
Concentration of measure inequalities for Markov chains and Φ-mixing processes
-
MR1756011
-
Samson, P.M. (2000). Concentration of measure inequalities for Markov chains and Φ-mixing processes. Ann. Probab. 28 416-461. MR1756011
-
(2000)
Ann. Probab.
, vol.28
, pp. 416-461
-
-
Samson, P.M.1
-
59
-
-
72449129941
-
Block gibbs sampling for Bayesian random effects models with improper priors: Convergence and regeneration
-
MR2598033
-
Tan, A. and Hobert, J.P. (2009). Block Gibbs sampling for Bayesian random effects models with improper priors: Convergence and regeneration. J. Comput. Graph. Statist. 18 861-878. MR2598033
-
(2009)
J. Comput. Graph. Statist.
, vol.18
, pp. 861-878
-
-
Tan, A.1
Hobert, J.P.2
-
60
-
-
0000576595
-
Markov chains for exploring posterior distributions
-
With discussion and a rejoinder by the author. MR1329166
-
Tierney, L. (1994). Markov chains for exploring posterior distributions. Ann. Statist. 22 1701-1762. With discussion and a rejoinder by the author. MR1329166
-
(1994)
Ann. Statist.
, vol.22
, pp. 1701-1762
-
-
Tierney, L.1
|