A semigroup-theoretic proof of Poisson's limit law

DOI10.1007/BF02572846zbMath0507.60018MaRDI QIDQ1837465

Dietmar Pfeifer

Publication date: 1983

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134617

zbMATH Keywords

law of large numbersrates of convergencecentral limit theoremoperator-theoretic proofs of limit lawsPoisson's limit law

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Groups and semigroups of linear operators (47D03)

Related Items (4)

On a relationship between Uspensky's theorem and Poisson approximations ⋮ Semigroup structural form for Bernstein-type operators and its applications ⋮ A semigroup setting for distance measures in connexion with Poisson approximation ⋮ Approximation-theoretic aspects of probabilistic representations for operator semigroups

Cites Work

• Unnamed Item
• Semigroup-theoretic proofs of the central limit theorem and other theorems of analysis
• A semigroup-theoretic proof of the law of large numbers
• An elementary proof of the central limit theorem

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