The periodic autoregressive process with non-vanishing mean and with exogenous variables is investigated in the paper. It is assumed that the model has also periodic variances. The statistical analysis is based on the Bayes approach with a vague prior density. Estimators of the parameters and asymptotic tests of hypotheses are derived.
@article{104366, author = {Ji\v r\'\i\ And\v el}, title = {Periodic autoregression with exogenous variables and periodic variances}, journal = {Applications of Mathematics}, volume = {34}, year = {1989}, pages = {387-395}, zbl = {0697.62084}, mrnumber = {1014079}, language = {en}, url = {http://dml.mathdoc.fr/item/104366} }
Anděl, Jiří. Periodic autoregression with exogenous variables and periodic variances. Applications of Mathematics, Tome 34 (1989) pp. 387-395. http://gdmltest.u-ga.fr/item/104366/
Statistical analysis of periodic autoregression, Apl. mat. 28 (1983), 364-385. (1983) | MR 0712913
Periodic autoregression with exogenous variables and equal variances, Proc. 5th Pannonian Symp., 237-245. Akadémiai Kiadó, Budapest 1987. (Eds.: Grossmann, Mogyoródi, Vincze, Wertz.) (1987) | MR 0956701
On periodic autoregression with unknown mean, Apl. mat. 30 (1985), 126-139. (1985) | MR 0778983
Using periodic autoregression for multiple spectral estimation, Technometrics 24 (1982), 109-116. (1982) | Article | MR 0655574
On periodic and multiple autoregression, Ann. Statist. 6 (1978), 1310-1317. (1978) | Article | MR 0523765