Expected Number of Distinct Part Sizes in a Random Integer Composition

Author:

HITCZENKO P.,STENGLE G.

Abstract

An asymptotics, as n → ∞, for the expected number of distinct part sizes in a random composition of an integer n is obtained.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Compositions of positive integers with 2s and 3s;Demonstratio Mathematica;2023-01-01

2. Part-products of S-restricted integer compositions;Applicable Analysis and Discrete Mathematics;2013

3. Threshold Functions for Distinct Parts: Revisiting Erdős–Lehner;Information Theory, Combinatorics, and Search Theory;2013

4. Asymptotic laws for compositions derived from transformed subordinators;The Annals of Probability;2006-03-01

5. Average Number of Distinct Part Sizes in a Random Carlitz Composition;European Journal of Combinatorics;2002-08

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