Geodesic
Estumation of density on indirect observation
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 17, Tome 396 (2011), pp. 204-212 
V. N. Solev. Estumation of density on indirect observation. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 17, Tome 396 (2011), pp. 204-212. http://geodesic.mathdoc.fr/item/ZNSL_2011_396_a13/
@article{ZNSL_2011_396_a13,
     author = {V. N. Solev},
     title = {Estumation of density on indirect observation},
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     pages = {204--212},
     year = {2011},
     volume = {396},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_396_a13/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper it is investigated the accuracy of the estimating of the unknown density in the $L_1$-space on indirect observation. We suggest a simple nonparametric estimator $\widehat f_n$ for unknown density $f$ and under some appropriate conditions prove the consistency of this estimator.

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