Abstract: Theoretical issues are considered in estimation and prediction for certain models of spatial time series. Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "Estimation and Prediction for Certain Models of Spatial Time Series" by Lloyd Marlin Eby, was obtained from University of Florida and is being sold with permission from the author. A digital copy of this work may also be found in the university's institutional repository, IR@UF. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.