Large Deviations for Stationary Gaussian Processes
In their previous work on large deviations the authors always assumed the base process to be Markovian whereas here they consider the base process to be stationary Gaussian. Similar large deviation results are obtained under natural hypotheses on the spectral density function of the base process. A rather explicit formula for the entropy involved is also obtained.
KeywordsProbability Measure Spectral Measure Lower Semicontinuous Spectral Density Function Admissible Mapping
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