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Asymptotic properties of Schottky time series. (English. Ukrainian original) Zbl 0960.60036
Theory Probab. Math. Stat. 59, 21-34 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 20-33 (1998).
The asymptotic behavior of time series which are values of Schottky effect process at discrete moments of times is investigated. Rates of convergence in the law of large numbers in $$L_{p}(\Omega)$$ spaces are investigated. Estimates of probabilities of large deviations of sample means are proposed. The bounded law of the iterated logarithm and the central limit theorem are proved.
##### MSC:
 60F25 $$L^p$$-limit theorems 60F05 Central limit and other weak theorems 60F10 Large deviations 60G10 Stationary stochastic processes