Some estimates of the rate of convergence in multidimensional limit theorems for homogeneous Markov processes

A uniform estimate for the rate of convergence in the multidimensional central limit theorem for homogeneous Markov chains

“…Let Xl, z2, be a homogeneous Markov process with an arbitrary set of states X, defined by the transition probability function P(, A), ( E X, A E x (a-algebra of subsets of X), and the initial In many aicles (see for example, [2], [5], [6], [7], and [8] We introduce the follong "truncated" moments:…”