Consideration of simple probability sampling including simple random, stratified random, cluster and multistage sampling. Estimation techniques including ratio and regression techniques. Determination of sample sizes and allocations. Multivariate normal distribution, simple partial and multiple correlation multivariate sampling distributions. Wishart distribution, generalized T-distribution, estimation of parameters and tests of hypotheses of vector means and covariance matrices.
Classification problems discriminant analysis and applications.
1-6 credits per semester. 2-10 credits per semester. Directed research culminating in the Ph.D. thesis. Same as Math 6123. Sequences of random variables, convergence of sequences, and their measure theoretical foundations.