Parametric estimates of a~density function and characterization of the families of distributions with a~location
Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part II, Tome 79 (1978), pp. 11-16

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In the paper estimators of a density function depending of a location parameter are investigated. It is proved that the optimal equivariant estimator has the form (1). Characterization of the families with a location parameter possessing sufficient statisticsis obtained.
@article{ZNSL_1978_79_a1,
     author = {L. B. Klebanov},
     title = {Parametric estimates of a~density function and characterization of the families of distributions with a~location},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {11--16},
     publisher = {mathdoc},
     volume = {79},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_79_a1/}
}
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L. B. Klebanov. Parametric estimates of a~density function and characterization of the families of distributions with a~location. Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part II, Tome 79 (1978), pp. 11-16. http://geodesic.mathdoc.fr/item/ZNSL_1978_79_a1/