Template-Type: ReDIF-Paper 1.0 Author-Name: Franses, Ph.H.B.F. Author-Name-Last: Franses Author-Name-First: Philip Hans Author-Person: pfr226 Author-Name: Paap, R. Author-Name-Last: Paap Author-Name-First: Richard Author-Person: ppa494 Title: Random-Coefficient periodic autoregression Abstract: We propose a new periodic autoregressive model for seasonally observed time series, where the number of seasons can potentially be very large. The main novelty is that we collect the periodic parameters in a second-level stochastic model. This leads to a random-coefficient periodic autoregression with a substantial reduction in the number of parameters to be estimated. We discuss representation, estimation, and inference. An illustration for monthly growth rates of US industrial production shows the merits of the new model specification. Creation-Date: 2005-01-01 File-URL: https://repub.eur.nl/pub/6941/ei2005-34.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2005-34 Classification-JEL: C22, C51 Keywords: periodic autoregression, random coefficient model Handle: RePEc:ems:eureir:6941