On asymptotically minimax nonparametric detection of signal in Gaussian white noise
classification
🧮 math.ST
stat.TH
keywords
asymptoticallydetectiongaussianminimaxnoisenonparametricsignalwhite
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For the problem of nonparametric detection of signal in Gaussian white noise we point out strong asymptotically minimax tests. The sets of alternatives are a ball in Besov space $B^r_{2\infty}$ with "small" balls in $L_2$ removed.
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