The Poisson approximation for dependent events
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Publication:1215854
DOI10.1214/aop/1176996707zbMath0301.60021OpenAlexW2079994560MaRDI QIDQ1215854
Publication date: 1974
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176996707
Central limit and other weak theorems (60F05) Stopping times; optimal stopping problems; gambling theory (60G40)
Related Items (12)
Improvements in the Poisson approximation of mixed Poisson distributions ⋮ Partitions of point processes: Multivariate Poisson approximations ⋮ Coupling methods in approximations ⋮ Compound Poisson process approximation for locally dependent real-valued random variables via a new coupling inequality ⋮ Poisson approximations of multinomial distributions and point processes ⋮ A new approach to Poisson approximation of simple point processes using compensators ⋮ Modeling and simulation with operator scaling ⋮ Inequalities for the distribution of a sum of functions of independent random variables ⋮ Continued fractions, the Chen–Stein method and extreme value theory ⋮ On coupling of Markov chains ⋮ \(\alpha\)-stable limit theorems for sums of dependent random vectors ⋮ Poisson approximation for random sums of Bernoulli random variables
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