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On the Convergence of Binomial to Poisson Distributions

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Publication:5644844
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DOI10.1214/aoms/1177693172zbMath0235.60033OpenAlexW2027306932MaRDI QIDQ5644844

Gordon Simons

Publication date: 1971

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177693172



Mathematics Subject Classification ID

Strong limit theorems (60F15)


Related Items (9)

On the convergence of Markov binomial to Poisson distribution ⋮ Compound Poisson approximation for unbounded functions on a group, with application to large deviations ⋮ BIASED RANDOM WALKS, PARTIAL DIFFERENTIAL EQUATIONS AND UPDATE SCHEMES ⋮ A compound Poisson convergence theorem for sums of \(m\)-dependent variables ⋮ Classical and almost sure local limit theorems ⋮ Greedy Bipartite Matching in Random Type Poisson Arrival Model ⋮ On a problem of Simons and Johnson ⋮ Two limit theorems for Markov binomial distribution ⋮ Pairwise influences in dynamic choice: network-based model and application




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