Optimum allocation in multivariate stratified random sampling:   Stochastic matrix optimisation
  The allocation problem for multivariate stratified random sampling as a problem of stochastic matrix integer mathematical programming is considered. With these aims the asymptotic normality of sample covariance matrices for each strata is established. Some alternative approaches are suggested for its solution. An example is solved by applying the proposed techniques. 
Jose A. Diaz-Garcia and Rogelio Ramos-Quiroga
math.ST stat.TH