Geodesic
The lower bound of the minimax risk in a problem of estimating the function in stationary gaussian noise
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 282-293

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In the paper, we construct the lower bounds of the minimax risk in the estimation problem, as we observe the unknoun pseudo periodic function in a Gaussian stationary noise with the spectral density satisfying some version of the Muckenhoupt condition. 
@article{ZNSL_2021_505_a15,
     author = {V. N. Solev},
     title = {The lower bound of the minimax risk in a problem of estimating the function in stationary gaussian noise},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {282--293},
     publisher = {mathdoc},
     volume = {505},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a15/}
}
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V. N. Solev. The lower bound of the minimax risk in a problem of estimating the function in stationary gaussian noise. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 282-293. http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a15/