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1 results

  • Asymptotic distribution of a discrete transform of an arbitrarily sampled homogeneous random field

  • David A. Swick
  • Journal:
    Advances in Applied Probability / Volume 7 / Issue 1 / March 1975
    Published online by Cambridge University Press:
    01 July 2016, pp. 140-153
    Print publication:
    March 1975

  • Multidimensional sampling of real data, e.g., in space and time, often requires observations at non-uniformly spaced intervals. A discrete transform of a multidimensional stationary stochastic process transforms a multivariate problem into an asymptotically univariate one if the spacing is uniform in at least one dimension. For both uniform and non-uniform sampling and a model of ‘signal’ imbedded in a ‘noise’ process, asymptotic normality and independence justifies statistical testing in each cell of the transformed domain of the hypothesis ‘noise alone’ versus the alternate ‘signal plus noise’.