A consistent estimator for spectral density matrix of a discrete time periodically correlated process

Autor

  • Majid Azimmohseni
  • Ahmad Reza Soltani
  • Mahnaz Khalafi
  • Naeemeh Akbari Ghalesary

DOI:

https://doi.org/10.19195/0208-4147.38.1.12

Słowa kluczowe:

Periodically correlated processes, spectral density matrix, Kullback–Leibler distance, smoothed periodogram, Wishart distribution, limiting distribution

Abstrakt

In this article, we introduce a weighted periodogram in the class of smoothed periodograms as a consistent estimator for the spectral density matrix of a periodically correlated process. We derive its limiting distribution that appears to be a certain finite linear combination of Wishart distribution. We also provide numerical derivations for our smoothed periodogram and exhibit its asymptotic consistency using simulated data.

Pobrania

Opublikowane

2018-07-30

Numer

Dział

Artykuły [1035]