Convergence of the empirical distribution to the poisson process

DOI10.1080/17442508408833325zbMath0535.60028OpenAlexW2075045624MaRDI QIDQ3319492

Robert J. Elliott, Ata N. Al-Hussaini

Publication date: 1984

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508408833325

zbMATH Keywords

functional limit theoremPoisson processempirical distribution

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Kac's representation from an asymptotic viewpoint ⋮ Poisson convergence for set-indexed empirical processes ⋮ Poisson approximation of empirical processes

Cites Work

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• The Single Jump Process with Some Statistical Applications
• Some limit theorems for simple point processes (a martingale approach)
• Compensators and Cox convergence

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