Estimators for the parameters of autoregressive time series are compared, emphasizing processes with a unit root or a root close to 1. The approximate bias of the sum of the autoregressive ...

After computing the sample autocovariance matrices, PROC STATESPACE fits a sequence of vector autoregressive models. These preliminary autoregressive models are used to estimate the autoregressive ...

Two methods of parameter estimation for a general nonlinear autoregressive process with beta-ARCH innovations are discussed and the large sample properties of the estimators for each method are ...

A model with first-order autoregressive errors, AR(1), has the form while an AR(2) error process has the form and so forth for higher-order processes. Note that the ...

Researchers combined two types of generative AI models, an autoregressive model and a diffusion model, to create a tool that leverages the best of each model to rapidly generate high-quality images.

Researchers developed a hybrid AI approach that can generate realistic images with the same or better quality than state-of-the-art diffusion models, but that runs about nine times faster and uses ...