More Exact Statement of Limit Theorems for Homogeneous Markov Chains
From MaRDI portal
Publication:5725120
DOI10.1137/1106005zbMath0116.10602OpenAlexW2064493979MaRDI QIDQ5725120
Publication date: 1962
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1106005
Related Items
Spectral theory and limit theorems for geometrically ergodic Markov processes, Exponential growth of branching processes in a general context of lifetimes and birthtimes dependence, Multiplicative ergodicity of Laplace transforms for additive functional of Markov chains, Uniform Markov renewal theory and ruin probabilities in Markov random walks., Partial mixing and Edgeworth expansion, A note on asymptotic expansions for Markov chains using operator theory, Approximation of symmetric three-state Markov chain by compound Poisson law, A spectral approach for quenched limit theorems for random expanding dynamical systems, Edgeworth expansions for independent bounded integer valued random variables, Quantitative recurrence of some dynamical systems preserving an infinite measure in dimension one, On the asymptotic moments and Edgeworth expansions for some processes in random dynamical environment, A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains, Quenched limit theorems for expanding on average cocycles, Unimodal maps perturbed by heteroscedastic noise: an application to financial systems, A method for the derivation of limit theorems for sums of weakly dependent random variables:a survey, A local limit theorem for a number of multiple recurrences generated by some mixing processes with applications to Young towers, Weak Edgeworth expansion for the mean-field Bose gas, Classical and almost sure local limit theorems, Efficient likelihood estimation in state space models, Limit theorems for random expanding or Anosov dynamical systems and vector-valued observables, The spectral method and the central limit theorem for general Markov chains, Limit theorems for some time-dependent expanding dynamical systems, Sinai billiard maps with Ruelle resonances, Limit theorems for some skew products with mixing base maps, Self-intersections of trajectories of the Lorentz process, Sharp asymptotics of large deviations for general state-space Markov-additive chains in \(\mathbb{R}^d\), A nonconventional local limit theorem, Stable laws and products of positive random matrices, A limit theorem for random sums modulo 1, Edgeworth expansions of suitably normalized sample mean statistics for atomic Markov chains, A LOCAL LIMIT THEOREM FOR CONTINUED FRACTIONS, Rate of convergence in the multidimensional central limit theorem for stationary processes. Application to the Knudsen gas and to the Sinai billiard, Back to balls in billiards, Quantitative recurrence in two-dimensional extended processes, Rate of convergence in the central limit theorem for strongly ergodic Markov chains, Planar Lorentz process in a random scenery, Conditioned local limit theorems for random walks defined on finite Markov chains, Edgeworth expansions for weakly dependent random variables, Berry–Esséen theorem for sample quantiles of asymptotically uncorrelated non reversible Markov chains, The Berry-Esseen bound for general Markov chains, Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media, Higher order asymptotics for large deviations – Part I, Chernoff-type bound for finite Markov chains