- Volume 8, Number 2 (2002), 175-193.
On positive spectral density functions
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.
Bernoulli, Volume 8, Number 2 (2002), 175-193.
First available in Project Euclid: 9 March 2004
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Bradley, Richard C. On positive spectral density functions. Bernoulli 8 (2002), no. 2, 175--193. https://projecteuclid.org/euclid.bj/1078866866