Abstract
A necessary and sufficient condition is given for a weakly stationary random field (indexed by the integer lattice of an arbitrary finite dimension) to have a spectral density which is bounded between two positive constants. As a corollary, a necessary and sufficient condition is derived for a positive continuous spectral density. The conditions involve `linear' dependence coefficients.
Citation
Richard C. Bradley. "On positive spectral density functions." Bernoulli 8 (2) 175 - 193, April 2002.
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