The Bernoulli sieve
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 \(K_n\).
scientific article; zbMATH DE number 2072660