A continuous spectral density for a random field of continuous-index

  • Authors:

  • Jason Shaw

  • Affiliations:

  • Truman State University, Department of Mathematics and Computer Science, Violette Hall 2138, 100, East Normal, Kirksville, MO 63501, USA

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2009

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Abstract

Linear dependence coefficients are defined for random fields of continuous-index, which are modified from those already defined for random fields indexed by an integer lattice. When a selection of these linear dependence conditions are satisfied, the random field will have a continuous spectral density function. Showing this involves the construction of a special class of random fields using a standard Poisson process and the original random field.