分野別セミナー

We discuss seasonal long-memory processes with Gegenbauer-type spectral densities. Estimates for singularity location and long-memory parameters based on general filter transforms are proposed. As a particular case these transformations include wavelet transformations. It is proved that the estimates are almost surely convergent to the true values of parameters. Solutions of the estimation equations are studied and adjusted statistics are proposes. Numerical results are presented to confirm the theoretical findings.


The talk is based on joint results with H. Alomari (La Trobe University), A. Ayache and M. Fradon (Université Lille 1).