@article{Positive-valued:701, recid = {701}, author = {Feunou, Bruno}, title = {(Supplemental Material for) Generalized Autoregressive Positive-valued Processes}, publisher = {Figshare}, address = {2023-09-21}, abstract = {We introduce generalized autoregressive positive-valued (GARP) processes, a class of autoregressive and moving-average processes that extends the class of existing autoregressive positive-valued (ARP) processes in one important dimension: each conditional moment dynamic is driven by a different and identifiable moving average of the variable of interest. The article provides ergodicity conditions for GARP processes and derives closed-form conditional and unconditional moments. The article also presents estimation and inference methods, illustrated by an application to European option pricing where the daily realized variance follows a GARP dynamic. Our results show that using GARP processes reduces pricing errors by substantially more than using ARP processes. <p><p>Supplemental material for peer-reviewed article published in the Journal of Business & Economic Statistics. Paper published online September 21, 2023.}, url = {http://www.oar-rao.bank-banque-canada.ca/record/701}, doi = {https://doi.org/10.6084/m9.figshare.23744123.v2}, }