General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbers

AbstractThis part is concerned with the applications of the general limit theorems with rates of Part I, achieved by specializing the limiting r.v. X. This leads to new convergence theorems with higher order rates in the one- and multi-dimensional case for the stable limit law, for the central limit theorem, and the weak law of large numbers