Modeling and Inference for Periodically Correlated Time Series

Due to the cyclic nature of solar radiation, tides, economic activities, meteorological processes, etc., many observed time series exhibit a periodic statistical structure. Accordingly, time series models with periodic properties have received much attention in the literature. Applications of such models include studies in hydrology: Lawrance and Kottegoda (1977), Vecchia (1985a and 1985b), Anderson and Vecchia (1993), and McLeod (1993); meteorology: Hannan (1955), Monin (1963), Jones and Brelsford (1967), Bloomfield et a!. (1994) and Lund et al. (1995); economics: Parzen and Pagano (1979); and electrical engineering: Gardner and Franks (1975).