scientific article

zbMath0448.60019MaRDI QIDQ3894712

Alexander Tikhomirov

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

rate of convergencecentral limit theoremstrong mixing conditionweakly dependent random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

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Normal approximation under local dependence. ⋮ Stein's method on Wiener chaos ⋮ Estimate of the rate of convergence in the central limit theorem for weakly dependent random fields ⋮ Central limit theorem for weakly dependent variables ⋮ Rates of convergence in the central limit theorem for martingales in the non stationary setting ⋮ Approximation of distributions of sums of weakly dependent random variables by the normal distribution ⋮ Asymptotic expansions for potential functions of I.I.D. random fields ⋮ Improvement of the rate of convergence in the multidimensional central limit theorem for m-dependent random vectors ⋮ Convergence rates in the central limit theorem for stationary mixing sequences of random vectors ⋮ Oracle inequality for sparse trace regression models with exponential \(\beta\)-mixing errors ⋮ Stein's method meets computational statistics: a review of some recent developments ⋮ Convergence rates in the functional CLT for \(\alpha\)-mixing triangular arrays ⋮ Berry-Esseen theorems under weak dependence ⋮ A Berry-Esseen theorem for sample quantiles under weak dependence ⋮ Rate of convergence in the central limit theorem for random variables with strong mixing ⋮ On the speed of convergence in the random central limit theorem for ?-mixing processes ⋮ The Stein-Tikhomirov Method and Berry-Esseen Inequality for Sampling Sums from a Finite Population of Independent Random Variables ⋮ A multivariate Berry-Esseen theorem with explicit constants ⋮ Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media ⋮ On the rates in the central limit theorem for weakly dependent random fields ⋮ Convergence de I'estimateur à noyau de dérivées de Radon-Nikodym générales dans le cas mélangeant ⋮ Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales ⋮ A method for the derivation of limit theorems for sums of m-dependent random variables

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