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[1] Andrew B. Nobel,et al. On optimal sequential prediction for general processes , 2003, IEEE Trans. Inf. Theory.
[2] J. Doob. Stochastic processes , 1953 .
[3] Paul R. Halmos,et al. In General a Measure Preserving Transformation is Mixing , 1944 .
[4] H. Weizsäcker. Exchanging the order of taking suprema and countable intersections of $\sigma $-algebras , 1983 .
[5] Haruo Totoki. On a class of special flows , 1970 .
[6] V. Losert,et al. The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences , 1985 .
[7] D. Rudolph. Pointwise and $L\sp 1$ mixing relative to a sub-sigma algebra , 2004 .
[8] J. Stoyanov. The Oxford Handbook of Nonlinear Filtering , 2012 .
[9] Paul H. Algoet,et al. The strong law of large numbers for sequential decisions under uncertainty , 1994, IEEE Trans. Inf. Theory.
[10] J. Neveu,et al. Discrete Parameter Martingales , 1975 .
[11] Ramon van Handel,et al. The stability of conditional Markov processes and Markov chains in random environments , 2008, 0801.4366.
[12] Uniform Convergence of Martingales , 1990 .
[13] M. Ledoux,et al. Convergence of Empirical Processes for Interacting Particle Systems with Applications to Nonlinear Filtering , 2000 .
[14] Richard L. Tweedie,et al. Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.
[15] M. Mirzakhani,et al. Introduction to Ergodic theory , 2010 .
[16] N. Etemadi. An elementary proof of the strong law of large numbers , 1981 .
[17] P. Walters. Introduction to Ergodic Theory , 1977 .
[18] V. Volkonskii,et al. Some Limit Theorems for Random Functions. II , 1959 .
[19] J. Conze. Convergence des moyennes ergodiques pour des sous-suites , 1973 .
[20] Ramon van Handel,et al. The universal Glivenko–Cantelli property , 2010, 1009.4434.
[21] R. Handel. Uniform time average consistency of Monte Carlo particle filters , 2008, 0812.0350.
[22] Ramon van Handel,et al. A complete solution to Blackwell's unique ergodicity problem for hidden Markov chains , 2009, ArXiv.
[23] Tsachy Weissman,et al. Universal prediction of random binary sequences in a noisy environment , 2004 .
[24] D. Pollard. A User's Guide to Measure Theoretic Probability by David Pollard , 2001 .
[25] Jon A. Wellner,et al. Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .
[26] R. Handel. On the exchange of intersection and supremum of σ-fields in filtering theory , 2010, 1009.0507.
[27] A. W. van der Vaart,et al. Uniform Central Limit Theorems , 2001 .
[28] Eric Moulines,et al. Inference in hidden Markov models , 2010, Springer series in statistics.
[29] P. Gänssler. Weak Convergence and Empirical Processes - A. W. van der Vaart; J. A. Wellner. , 1997 .
[30] T. Lindvall. Lectures on the Coupling Method , 1992 .
[31] O. Kallenberg. Foundations of Modern Probability , 2021, Probability Theory and Stochastic Modelling.
[32] H. Kunita. Asymptotic behavior of the nonlinear filtering errors of Markov processes , 1971 .
[33] P. Meyer,et al. Probabilities and potential C , 1978 .
[34] R. Handel,et al. CONDITIONAL ERGODICITY IN INFINITE DIMENSION , 2012, 1208.3182.
[35] A. Grothendieck,et al. Produits Tensoriels Topologiques Et Espaces Nucleaires , 1966 .