Ergodic theorems with random weights for stationary random processes and fields

DOI10.1007/s10959-022-01226-5zbMath1525.37006WikidataQ122950680 ScholiaQ122950680MaRDI QIDQ6111896

Arkady Tempelman

Publication date: 4 August 2023

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

weightsergodic theoremsconsistent estimationlocally finite random measureslocally finite random setsstationary random processes and fields

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Stationary stochastic processes (60G10) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random measures (60G57)

Cites Work

• Ergodic theorems. With a supplement by Antoine Brunel
• Ergodic theorems for homogeneous random measures and signed measures on groups
• Strong laws of large numbers for arrays of row-wise independent random variables
• Ergodic Theorems for Abelian Semi-Groups
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