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On the Maximal Lévy–Ottaviani Inequality for Sums of Independent and Dependent Random Vectors

Szewczak Z. S.

Bulletin of the Polish Academy of Sciences. Mathematics

2013

Vol. 61, no 2

155--160

We prove that the sums Sk of independent random vectors satisfy [formula].

A central limit theorem for strictly stationary sequences in terms of slow variation in the limit

Szewczak Z. S.

Probability and Mathematical Statistics

1998

Vol. 18, Fasc. 2

359--368

For strictly stationary random sequences satisfying the “minimal” dependence condition, necessary and sufficient conditions for the weak convergence to the normal law in terms of slow variation in the limit are found.