Large-sample properties of the periodogram estimator of seasonally persistent processes
季节性持久过程周期图估计量的大样本性质
Seasonally persistent models were first introduced by Anděl (1986) and Gray et al. (1989) to extend autoregressive moving‐average and fractionally differenced models and to encompass long‐memory quasi‐periodic behaviour. These models are, for certain ranges of parameters, stationary, and we prove here that the behaviour of the periodogram and other tapered estimators cannot be simply extended from the work of Künsch (1986) and Hurvich & Beltrao (1993) on long memory induced…