Spectral methods for nonstationary spatial processes

  title={Spectral methods for nonstationary spatial processes},
  author={Montserrat Fuentes},
We propose a nonstationary periodogram and various parametric approaches for estimating the spectral density of a nonstationary spatial process. We also study the asymptotic properties of the proposed estimators via shrinking asymptotics, assuming the distance between neighbouring observations tends to zero as the size of the observation region grows without bound. With this type of asymptotic model we can uniquely determine the spectral density, avoiding the aliasing problem. We also present a… CONTINUE READING
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