The Expected Value and the Variance of a Multiplicity of a Given Part Size in a Random Composition of an Integer

Boris L. Kheyfets1
1Department of Mathematics Drexel University Philadelphia, PA 19104-2875

Abstract

The expected value and the variance of a multiplicity of a given part size in a random composition of an integer is obtained. This result was used in [1] to analyze algorithms for computing the Walsh-Hadamard transform.