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The linear topology associated with weak convergence of probability measures
Liang Hong
This expository note aims at illustrating weak convergence of probability measures from a broader view than a previously published paper. Though the results are standard for functi…
On the interpolation property and dominated decomposition property of quasimartingales
Liang Hong
For a quasimartingale majorized by another quasimartingale, it is natural to ask whether a third quasimartingale can be inserted between them. In this paper, we give an affirmative…
Weak convergence of probability measures: a topological vector space point of view
Liang Hong
Weak convergence of probability measures is one of the most important topics in the field probability and statistics. In this survey paper, we look at weak convergence of probabili…
On the Riesz decomposition property and the interpolation property of stopping times
Liang Hong
It is known that random variables have the Riesz decomposition property and the interpolation property. These properties are not only interesting in their own rights; they have bee…