Geodesic
Low bounds for risk functions in non-parametric estimation problems
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 17, Tome 396 (2011), pp. 102-110 
I. A. Ibragimov. Low bounds for risk functions in non-parametric estimation problems. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 17, Tome 396 (2011), pp. 102-110. http://geodesic.mathdoc.fr/item/ZNSL_2011_396_a6/
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     author = {I. A. Ibragimov},
     title = {Low bounds for risk functions in non-parametric estimation problems},
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     year = {2011},
     volume = {396},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_396_a6/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The authors of the paper [1] have established some general minimax low bounds of risk functions for probability densities estimates, Here analogous results are proved for some other non-parametric estimation problems.

[1] I. Ibragimov, R. Khasminskii, “On density estimation in the view of Kolmogorov's ideas in approximation theory”, Ann. Statist., 18:3 (1990), 999–1010 | DOI | MR | Zbl

[2] I. A. Ibragimov, R. Z. Khasminskii, Statisticheskaya teoriya otsenivaniya, Nauka, M., 1979 | MR

[3] M. A. Lifshits, Gaussovskie sluchainye funktsii, TBiMC, Kiev, 1995

[4] Dzh. Kingman, Puassonovskie protsessy, MTsNMO, M., 2007

[5] M. Brown, “Discrimination of Poisson processes”, Ann. Math. Statist., 42 (1971), 773–776 | DOI | MR | Zbl

[6] U. Grenander, Abstract Inference, J. Wiley, 1981 | MR | Zbl