Title: Weak convergence to Rosenblatt sheet.
Authors: Shen, Guangjun; Yin, Xiuwei; Zhu, Dongjin
Abstract: We study the problem of the approximation in law of the Rosenblatt sheet. We prove the convergence in law of two families of process to the Rosenblatt sheet: the first one is constructed from a Poisson process in the plane and the second one is based on random walks.
Subjects: APPROXIMATION theory; MATHEMATICAL functions; POISSON processes; RANDOM walks; DISCRETE probability theory; PROBABILITY theory
Publication: Frontiers of Mathematics in China, 2015, Vol 10, Issue 4, p985
ISSN: 1673-3452
Publication type: Academic Journal
DOI: 10.1007/s11464-015-0458-y

Weak convergence to Rosenblatt sheet.

Shen, Guangjun; Yin, Xiuwei; Zhu, Dongjin