Abstract:
Estimates of the rate of convergence in limit theorems in the max-scheme of independent identically distributed random variables (i.i.d.r.v.'s) under linear and power normalizations, when the maximum is taken over a subsequence of natural numbers $k(n)$ are obtained.
Keywords:max-semistable law, linear and power normalizations, rate of convergence, ideal metric, the method of metric distances, convolutions method, regular estimate.