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In his work \cite{Ti80}, Tikhomirov combined elements of Stein's method withthe theory of characteristic functions to derive Kolmogorov bounds for theconvergence rate in the central limit theorem for a normalized sum of astationary sequence of random variables satisfying one of several weakdependency conditions. The combination of elements of Stein's method with thetheory of characteristic functions is sometimes called \emph{Stein-Tikhomirovmethod}. \citet*{AMPS17} successfully used the Stein-Tikhomirov method to boundthe convergence rate in contexts with non-Gaussian targets. \citet*{Ro17} usedthe Stein-Tikhomirov method to bound the convergence rate in the Kolmogorovdistance for normal approximation of normalized triangle counts in theErd\"os-R\'enyi random graph.

Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein-Tikhomirov method