A note on Poisson approximation of rescaled set-indexed empirical processes

DOI10.1016/S0167-7152(99)00094-2zbMath0952.60015MaRDI QIDQ1962126

I. S. Borisov

Publication date: 4 January 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Poisson approximationtotal variation distancemultivariate empirical process

Mathematics Subject Classification ID

Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

On the rate of Poisson approximation to Bernoulli partial sum processes ⋮ Some notes on poisson limits for empirical point processes

Cites Work

• Poisson approximation of the partial sum process in Banach spaces
• Poisson convergence for set-indexed empirical processes
• Prescribing a System of Random Variables by Conditional Distributions
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