RT Journal Article
T1 Modes of convergence of random variables and algebraic genericity
A1 Araújo, G.
A1 Fenoy Muñoz, María Del Mar
A1 Fernández Sánchez, J.
A1 López Salazar, J.
A1 Seoane Sepúlveda, Juan Benigno
A1 Vecina, J.M.
AB Important probabilistic problems require to find the limit of a sequence of random variables. However, this limit can be understood in different ways and various kinds of convergence can be defined. Among the many types of convergence of sequences of random variables, we can highlight, for example, that convergence in alternatives sense implies convergence in probability, which, in turn, implies convergence in distribution, besides that all these implications are strict. In this paper, the relationship between several types of convergence of sequences of random variables will be analyzed from the perspective of lineability theory.
PB Springer Link
SN 1578-7303
SN 1579-1505
YR 2024
FD 2024-02-24
LK https://hdl.handle.net/20.500.14352/102926
UL https://hdl.handle.net/20.500.14352/102926
LA eng
NO Araújo G, Fenoy M, Fernández-Sánchez J, López-Salazar J, Seoane-Sepúlveda JB, Vecina JM. Modes of convergence of random variables and algebraic genericity. Rev Real Acad Cienc Exactas Fis Nat Ser A-Mat 2024; 118: 63. [DOI: 10.1007/s13398-024-01561-8]
DS Docta Complutense
RD 25 feb 2026