In a survey with rotating design, the overlap from one time period to the next can Teduce the variance of estimators of month-to-month change. In order to take advantage of repeated sampling, composite estimators are used to combine data for the current month with those from prior months. In this paper, we provide procedures for computing a set of optimal weights for the generalized recursive composite estimator. A more general composite estimator constructed with a finite moving operator is defined and compared to the recursive compositor in the estimation of the state labor force from the CPS data set.