This book brings together a variety of non-Gaussian autoregressive-type models to analyze time-series data. This book collects and collates most of the available models in the field and provide their probabilistic and inferential properties. This book classifies the stationary time-series models into different groups such as linear stationary models with non-Gaussian innovations, linear stationary models with non-Gaussian marginal distributions, product autoregressive models and minification models. Even though several non-Gaussian time-series models are available in the literature, most of them are focusing on the model structure and the probabilistic properties.

Time series models with autoregressive, moving average and mixed autoregressive-moving averager correlation structure and with symmetric, heavy-tailed, non-normal marginal distributions, called (letter)-Laplace, are considered. First, a flexible mixed model NLARMA(p, q) with Laplace (double exponential) marginals is investigated. Second, a family of continuous random coefficient models with l-Laplace distributions are examined. The Laplace distribution is described along with a useful transformation. Thirdly, the NLAR(1) and the BELAR(1) processes are compared using higher order residual analyses based on the uncorrelated, but dependent linear residuals, (R sub n). Finally, open problems, as well as possible extensions and applications of the analyses given in this thesis are discussed. Keywords: Maximum Likelihood estimation; Least squares method; Residual analysis.

Co-integration, equilibrium and equilibrium correction are key concepts in modern applications of econometrics to real world problems. This book provides direction and guidance to the now vast literature facing students and graduate economists. Econometric theory is linked to practical issues such as how to identify equilibrium relationships, how to deal with structural breaks associated with regime changes and what to do when variables are of different orders of integration.

Linear regression with one predictor variable; Inferences in regression and correlation analysis; Diagnosticis and remedial measures; Simultaneous inferences and other topics in regression analysis; Matrix approach to simple linear regression analysis; Multiple linear regression; Nonlinear regression; Design and analysis of single-factor studies; Multi-factor studies; Specialized study designs.

Statistical image processing; application of the gibbs distribution to image segmentation; A model for orginal filtering of digital images; Spatial domain filtering of digital images; Spatial domain filters forimage processing; Edge detection by partitioning; A syntactic approach for SAR image nalysis; Parametric techniques for SAR image compression; Data compression of a first order intermittently excited AR process; A modular software for image information systems; A space-efficient hough transform implementation for object detection; New computing methods in image processing displays; Statistical graphics; Visualizing two-dimensional phenomena in four-dimensional space: A computer grahphics approach; The man-machine-graphics interface for statistical data analysis; Interactive color display methods for multivariate data; Interactive computer graphics in statistics; Illustrations of model diagnosis by means of three-dimensional biplots; Multivariate thin plate spline smoothing with positivity and other linear; Data analysis in three and four dimensions with nonparametric; Dimensionality reduction in density estimation; Volumetric 3-D displays and spatial perception; Index.