Robert Lund, University of Georgia, Athens Periodic Time Series Many time series display periodicities in their mean and/or autocovariances. This talk overviews general properties of periodic series and discusses some statistical issues in the analysis of periodic time series data. Comparisons of autoregressive moving-average (ARMA) series, seasonal autoregressive moving-average (SARMA) series, and periodic autoregressive moving-average (PARMA) series will be made. Likelihood computation, recursive prediction, large sample theory, and parsimonious model fitting for PARMA series will be explored.