Weak law of large numbers for iterates of random-valued functions

DOI10.1007/S00010-018-0585-0zbMath1451.60030OpenAlexW2884895954WikidataQ114852568 ScholiaQ114852568MaRDI QIDQ1736310

Karol Baron

Publication date: 26 March 2019

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-018-0585-0

zbMATH Keywords

convergence in lawweak law of large numbersconvergence in probabilityiteratesrandom-valued functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Iteration theory, iterative and composite equations (39B12) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (5)

Weak limit of iterates of some random-valued functions and its application ⋮ The geometric rate of convergence of random iteration in the Hutchinson distance ⋮ Random means generated by random variables: expectation and limit theorems ⋮ Remarks connected with the weak limit of iterates of some random-valued functions and iterative functional equations ⋮ Strong law of large numbers for iterates of some random-valued functions

Cites Work

• On Lipschitzian solutions to an inhomogeneous linear iterative equation
• Real Analysis and Probability
• Convergence of sequences of iterates of random-valued vector functions
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