-REGULARITY OF MULTIVARIATE STATIONARY SEQUENCES FORSOME FAMILIES

Lutz Klotz Conrad Mädler

Abstract: Let , be a nonempty finite subset of the set of integers, be its
complement, and be the family of translations of by , . For such a family,
-regularity of a -variate stationary sequence over is studied. If contains exactly
elements, a description of a -regular sequence in terms of its spectral density is
obtained. Some examples are given for the case where contains more than elements.