On the rate of convergence to Rosenblatt-type distribution

摘要

The main result of the article is the rate of convergence to theRosenblatt-type distributions in non-central limit theorems. Specifications ofthe main theorem are discussed for several scenarios. In particular, specialattention is paid to the Cauchy, generalized Linnik's, and local-globaldistinguisher random processes and fields. Direct analytical methods are usedto investigate the rate of convergence in the uniform metric.