Sequential convergence on the space of Borel measures

11 Feb 2021 Liangang Ma

We study equivalent descriptions of the vague, weak, setwise and total-variation (TV) convergence of sequences of Borel measures on metrizable and non-metrizable topological spaces in this work. On metrizable spaces, we give some equivalent conditions on the vague convergence of sequences of measures following Kallenberg, and some equivalent conditions on the TV convergence of sequences of measures following Feinberg-Kasyanov-Zgurovsky... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • PROBABILITY
  • FUNCTIONAL ANALYSIS