Asymptotic mean stationarity and absolute continuity of point process distributions

DOI10.3150/12-BEJ423zbMath1284.60097arXiv1312.2726OpenAlexW1967459727MaRDI QIDQ2435215

Gert Nieuwenhuis

Publication date: 4 February 2014

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2726

zbMATH Keywords

point processstationaritynonstationarityabsolute continuityinversion formulaePalm distributionsasymptotic mean stationarityRadon-Nikodym approach

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Invariant measures for many-one transformations
• Equivalence of functional limit theorems for stationary point processes and their Palm distributions
• Asymptotically mean stationary measures
• Stationäre zufällige Punktfolgen. I
• Finite and \(\sigma\)-finite invariant measures
• Asymptotic Mean Stationarity of Sources With Finite Evolution Dimension
• Ergodicity conditions and cesàro limit results for marked point processes
• Bridging the gap between a stationary point process and its Palm distribution
• Some Properties of Stationary Flows of Homogeneous Random Events
• On Palm probabilities
• An Introduction to the Theory of Point Processes
• Transformations of stationary random sequences
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