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.
Citation
Boris L. Kheyfets. The Expected Value and the Variance of a Multiplicity of a Given Part Size in a Random Composition of an Integer[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 052. 65-68. DOI: .