Algebraic structures in the set of sequences of independent random variables

Algebraic structures in the set of sequences of independent random variables

The space whose subsets we analyse with respect to lineability is L 0 ( Ω , P ) N consisting of random variables sequences on probability space ( Ω , P ) with atomless probability measure P . We study lineability and algebrability of L 0 ( Ω , P ) N -subsets of independent random variables with addi...

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Veröffentlicht in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2023, Vol.117 (1), Article 45
Hauptverfasser: Bartoszewicz, Artur, Filipczak, Małgorzata, Gła̧b, Szymon
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Independent variables
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Probability theory
Random variables
Theoretical
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Zusammenfassung:The space whose subsets we analyse with respect to lineability is L 0 ( Ω , P ) N consisting of random variables sequences on probability space ( Ω , P ) with atomless probability measure P . We study lineability and algebrability of L 0 ( Ω , P ) N -subsets of independent random variables with additional properties connected with various types of convergence, laws of large numbers, and Markov and Kolgomorov conditions.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-022-01376-5