The Bernoulli sieve (Q1431544)
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scientific article; zbMATH DE number 2072660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Bernoulli sieve |
scientific article; zbMATH DE number 2072660 |
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The Bernoulli sieve (English)
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10 June 2004
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This paper investigates a recursive construction of a random composition \(C_n\) of an integer \(n\). This composition can be induced by sampling from a random discrete distribution which has frequencies equal to the sizes of components of a stick-breaking interval partition of [0,1]. The author is interested in the number of parts \(K_n\) of the composition \(C_n\). He derives asymptotics of \(EK_n\) and proves a central limit theorem for \(K_n\).
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composition
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stick-breaking
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central limit theorem
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