
It is shown that for a short-memory stationary Gaussian process, under some mathematical conditions, the distribution of the average of log-transformed periodogram can be approximated by the normal distribution. This result is used to develop an algorithm, based on the minimum cross-entropy, for adaptive smoothing.
normal distribution, adaptive smoothing, Data smoothing in stochastic control theory, cross-entropy, Approximations to statistical distributions (nonasymptotic), average of log-transformed periodogram
normal distribution, adaptive smoothing, Data smoothing in stochastic control theory, cross-entropy, Approximations to statistical distributions (nonasymptotic), average of log-transformed periodogram
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