Cutoff for samples of Markov chains
ESAIM: Probability and Statistics (1999)
- Volume: 3, page 89-106
- ISSN: 1292-8100
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topYcart, Bernard. "Cutoff for samples of Markov chains." ESAIM: Probability and Statistics 3 (1999): 89-106. <http://eudml.org/doc/104259>.
@article{Ycart1999,
author = {Ycart, Bernard},
journal = {ESAIM: Probability and Statistics},
keywords = {independent Markov chains; MCMC convergence},
language = {eng},
pages = {89-106},
publisher = {EDP Sciences},
title = {Cutoff for samples of Markov chains},
url = {http://eudml.org/doc/104259},
volume = {3},
year = {1999},
}
TY - JOUR
AU - Ycart, Bernard
TI - Cutoff for samples of Markov chains
JO - ESAIM: Probability and Statistics
PY - 1999
PB - EDP Sciences
VL - 3
SP - 89
EP - 106
LA - eng
KW - independent Markov chains; MCMC convergence
UR - http://eudml.org/doc/104259
ER -
References
top- [1] R. Bellman, Introduction to matrix analysis. McGraw-Hill, London ( 1960). Zbl0124.01001MR122820
- [2] N. Bouleau and D. Lépingle, Numerical methods for stochastic processes. Wiley, New York ( 1994). Zbl0822.60003MR1274043
- [3] E. Çinlar, Introduction to stochastic processes. Prentice Hall, New York ( 1975). Zbl0341.60019MR380912
- [4] P. Diaconis, The cutoff phenomenon in finite Markov chains. Proc. Natl. Acad. Sci. USA 93 ( 1996) 1659-1664. Zbl0849.60070MR1374011
- [5] P. Diaconis, R. Graham and J. Morrison, Asymptotic analysis of a random walk on a hypercube with many dimensions. Rand. Struct. Algorithms 1 ( 1990) 51-72. Zbl0723.60085MR1068491
- [6] P. Diaconis and M. Shahshahani, Time to reach stationarity in the Bernoulli-Laplace diffusion model. SIAM J. Math. Anal. 18 ( 1987) 208-218. Zbl0617.60009MR871832
- [7] P. Doukhan, Mixing, properties and examples. Springer-Verlag, New York, Lecture Notes en Statist. 85 ( 1994). Zbl0801.60027MR1312160
- [8] W. Feller, An introduction to probability theory and its applications, Vol. I. Wiley, London ( 1968). Zbl0155.23101MR228020
- [9] G.S. Fishman, Monte-Carlo concepts algorithms and applications. Springer-Verlag, New York ( 1996). Zbl0859.65001MR1392474
- [10] E. Giné, Lectures on some aspects of the bootstrap, P. Bernard, Ed., École d'été de probabilités de Saint-Flour XXVI, Springer-Verlag, New York, Lectures Notes in Math. 1664 ( 1997) 37-151. Zbl0882.62040MR1490044
- [11] J. Keilson, Markov chain models - rarity and exponentiality. Springer-Verlag, New York. Appl. Math. Sci. 28 ( 1979). Zbl0411.60068MR528293
- [12] A.W. Massey, Stochastic orderings for Markov processes on partially ordered spaces. Math. Oper. Research 12 ( 1987) 350-367. Zbl0622.60098MR888982
- [13] P. Mathé, Relaxation of product Markov chains on product spaces. Preprint WIAS, Berlin ( 1997). MR1646105
- [14] A.E. Raftery and S. Lewis, Implementing MCMC, W.R. Gilks, S.T. Richardson and D.J. Spiegelhalter, Eds., Markov Chain Monte-Carlo in practice, Chapman and Hall, London ( 1992) 115-130. Zbl0844.62101MR1397966
- [15] C.P. Robert, Méthodes de Monte-Carlo par chaînes de Markov. Economica, Paris ( 1996). Zbl0917.60007MR1419096
- [16] L. Saloff-Coste, Lectures on finite Markov chains, P. Bernard, Ed., Ecole d'été de probabilités de Saint-Flour XXVI, Springer-Verlag, New York, Lecture Notes in Math. 1664 ( 1997) 301-413. Zbl0885.60061MR1490046
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