Geodesic
Estimation of a probability density function and its derivatives
Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 621-626 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate statistical estimates of a probability density distribution function and its derivatives. As the starting point of the investigation we take a priori assumptions about the degree of smoothness of the probability density to be estimated. By using these assumptions we can construct estimates of the probability density function itself and its derivatives which are distinguished by the high rate of decrease of the error in the estimate as the sample size increases. 
@article{MZM_1972_12_5_a16,
     author = {V. G. Alekseev},
     title = {Estimation of a probability density function and its derivatives},
     journal = {Matemati\v{c}eskie zametki},
     pages = {621--626},
     year = {1972},
     volume = {12},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a16/}
}
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V. G. Alekseev. Estimation of a probability density function and its derivatives. Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 621-626. http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a16/