http://swrc.ontoware.org/ontology#UnrefereedArticle
位相ベクトル空間における確率収束
ja
convergence in probability
Cauchy criterion
topological vector space
式見 拓仙
Let (Xn) be a sequence of random variables with values in a topological vector space. We introduce the notion of convergence in probability for (Xn) and discuss the basic relations between convergence in probability and almost sure convergence. Moreover, we also defne the Cauchy property for (Xn) and prove that, if the topological vector space is complete, locally bounded and locally convex, then (Xn) has an a.s. convergent subsequence.
経営と経済
102
1-2
23-34
2022-09-25
02869101
AN00069150
長崎大学経済学会
経営と経済, 102(1-2), pp.23-34; 2022