On the rate of Poisson process approximation to a Bernoulli process

DOI10.1239/jap/1077134684zbMath1046.60047OpenAlexW2087585475MaRDI QIDQ4819454

P. S. Ruzankin

Publication date: 24 September 2004

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

Full work available at URL: https://doi.org/10.1239/jap/1077134684

zbMATH Keywords

couplingBernoulli processPoisson approximation of point processes

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

On the rate of Poisson approximation to Bernoulli partial sum processes ⋮ On the asymptotics of locally dependent point processes ⋮ A polynomial birth-death point process approximation to the Bernoulli process ⋮ Exact Kolmogorov and total variation distances between some familiar discrete distributions ⋮ Poisson approximation

Cites Work

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• Stein's method and point process approximation
• On the rate of Poisson convergence
• The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
• Refinement of Poisson Approximation
• Point processes in time and stein's method
• On the rate of Poisson process approximation to a Bernoulli process
• Compound Poisson approximation for the distribution of extremes
• On metrics in point process approximation

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