N. N. Chentsov, “A bound for an unknown distribution density in terms of the observations”, Dokl. Akad. Nauk SSSR, 147:1 (1962), 45

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Doklady Akademii Nauk SSSR, 1962, Volume 147, Number 1, Pages 45–48 (Mi dan27167)

This article is cited in 11 scientific papers (total in 13 papers)

MATHEMATICS

A bound for an unknown distribution density in terms of the observations

N. N. Chentsov

Full-text PDF (451 kB) Citations (13)

Presented: M. V. Keldysh
Received: 15.05.1962

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: N. N. Chentsov, “A bound for an unknown distribution density in terms of the observations”, Dokl. Akad. Nauk SSSR, 147:1 (1962), 45–48

Citation in format AMSBIB

\Bibitem{Che62}

\by N.~N.~Chentsov

\paper A bound for an unknown distribution density in terms of the observations

\jour Dokl. Akad. Nauk SSSR

\yr 1962

\vol 147

\issue 1

\pages 45--48

\mathnet{http://mi.mathnet.ru/dan27167}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0143278}

\zmath{https://zbmath.org/?q=an:0133.11801}

Linking options:

https://www.mathnet.ru/eng/dan27167

https://www.mathnet.ru/eng/dan/v147/i1/p45

Erratum

Поправки к статье “Оценка неизвестной плотности распределения по наблюдениям” (ДАН, т. 147, № 1, 1962 г.)
N. N. Chentsov
Dokl. Akad. Nauk SSSR, 1963, 150:3, 454

This publication is cited in the following 13 articles:

A. A. Borovkov, Al. V. Bulinski, A. M. Vershik, D. Zaporozhets, A. S. Holevo, A. N. Shiryaev, “Ildar Abdullovich Ibragimov (on his ninetieth birthday)”, Russian Math. Surveys, 78:3 (2023), 573–583
Yu. V. Bogomolov, V. V. Alekseev, O. A. Levanova, A. G. Mayorov, V. V. Malakhov, “Review of unfolding methods”, Phys. Usp., 66:6 (2023), 628–642
I. A. Ibragimov, “On the estimation of the intensity density function of Poisson random field outside of the observation region”, J. Math. Sci. (N. Y.), 214:4 (2016), 484–492
I. A. Ibragimov, “A generalization of Chentsov's projection estimates”, J. Math. Sci. (N. Y.), 204:1 (2015), 116–133
“To the memory of Yu. I. Ingster”, J. Math. Sci. (N. Y.), 204:1 (2015), 1–6
I. A. Ibragimov, “On adaptive estimation of probability density functions”, J. Math. Sci. (N. Y.), 167:4 (2010), 512–521
S. V. Reshetov, “Minimax risk for quadratically convex sets”, J. Math. Sci. (N. Y.), 167:4 (2010), 537–542
J. Gama, V. V. Yurinskii, “An exponential estimate for a wavelet density estimator”, Theory Probab. Appl., 51:4 (2007), 595–608
I. A. Ibragimov, “On censored sample estimation of a multivariate analytic probability density”, Theory Probab. Appl., 51:1 (2007), 142–154
I. A. Ibragimov, “Estimation of analytic densities based on censored data”, J. Math. Sci. (N. Y.), 133:3 (2006), 1290–1297
I. A. Ibragimov, “Estimation of multivariate regression”, Theory Probab. Appl., 48:2 (2004), 256–272
R. M. Absava, È. A. Nadaraya, L. E. Nadaraya, “The limit distribution of the quadratic deviation of two non-parametric estimators of projection type of a regression function”, Russian Math. Surveys, 57:5 (2002), 985–986
N. N. Chentsov, “Invariantnye funktsii poter v zadachakh matematicheskoi statistiki”, UMN, 22:1(133) (1967), 178–180

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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