In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...
We present here three results concerning holomorphic functions on inductive limits of $C^{N}$ (N finite or countably infinite). The first result is a positive one ...
We discuss limit distributions of partial sums of bounded functions h of a long-memory moving-average process Xt=∑j=1 ∞ bjζ t-j with coefficients bj decaying as j-β, 1/2 < β < 1, and independent and ...