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Zapiski Nauchnykh Seminarov LOMI, 1980, Volume 98, Pages 61–85 (Mi znsl3286)  

This article is cited in 34 scientific papers (total in 35 papers)

Estimation of distribution density

I. A. Ibragimov, R. Z. Khas'minskii
Abstract: The purpose of this paper is to investigate the asymptotic behavior of the density estimators when the deviation density function from estimaror is measured in Lp metrix.
English version:
Journal of Soviet Mathematics, 1983, Volume 21, Issue 1, Pages 40–57
DOI: https://doi.org/10.1007/BF01091455
Bibliographic databases:
UDC: 519.281
Language: Russian
Citation: I. A. Ibragimov, R. Z. Khas'minskii, “Estimation of distribution density”, Studies in mathematical statistics. Part IV, Zap. Nauchn. Sem. LOMI, 98, "Nauka", Leningrad. Otdel., Leningrad, 1980, 61–85; J. Soviet Math., 21:1 (1983), 40–57
Citation in format AMSBIB
\Bibitem{IbrKha80}
\by I.~A.~Ibragimov, R.~Z.~Khas'minskii
\paper Estimation of distribution density
\inbook Studies in mathematical statistics. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1980
\vol 98
\pages 61--85
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3286}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=591862}
\zmath{https://zbmath.org/?q=an:0482.62025|0507.62041}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 21
\issue 1
\pages 40--57
\crossref{https://doi.org/10.1007/BF01091455}
Linking options:
  • https://www.mathnet.ru/eng/znsl3286
  • https://www.mathnet.ru/eng/znsl/v98/p61
  • This publication is cited in the following 35 articles:
    1. Theory Probab. Appl., 69:3 (2024), 404–424  mathnet  crossref  crossref
    2. “Global rate optimality of integral curve estimators in high order tensor models”, Theory Probab. Appl., 68:2 (2023), 250–266  mathnet  crossref  crossref
    3. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    4. Blair Bilodeau, Dylan J. Foster, Daniel M. Roy, “Minimax rates for conditional density estimation via empirical entropy”, Ann. Statist., 51:2 (2023)  crossref
    5. J Rojas-Sandoval, P Acevedo-Rodríguez, “CABI Compendium”, 2022  crossref
    6. Min Xu, Richard J. Samworth, “High-dimensional nonparametric density estimation via symmetry and shape constraints”, Ann. Statist., 49:2 (2021)  crossref
    7. T. Nagler, “Asymptotic Analysis of the Jittering Kernel Density Estimator”, Math. Meth. Stat., 27:1 (2018), 32  crossref
    8. Arlene K. H. Kim, Richard J. Samworth, “Global rates of convergence in log-concave density estimation”, Ann. Statist., 44:6 (2016)  crossref
    9. Rebelles G., “Pointwise Adaptive Estimation of a Multivariate Density Under Independence Hypothesis”, Bernoulli, 21:4 (2015), 1984–2023  crossref  isi
    10. Rebelles G., “l-P Adaptive Estimation of An Anisotropic Density Under Independence Hypothesis”, Electron. J. Stat., 9:1 (2015), 106–134  crossref  isi
    11. Olga Kosta, Natalia Stepanova, “Efficient Density Estimation and Value at Risk Using Fejér-Type Kernel Functions”, JMF, 05:05 (2015), 480  crossref
    12. Goldenshluger A., Lepski O., “on Adaptive Minimax Density Estimation on R-D”, Probab. Theory Relat. Field, 159:3-4 (2014), 479–543  crossref  isi
    13. S. Yu. Novak, “On the accuracy of inference on heavy-tailed distributions”, Theory Probab. Appl., 58:3 (2014), 509–518  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    14. A. V. Gol'denshlyuger, O. V. Lepskiǐ, “General procedure for selecting linear estimators”, Theory Probab. Appl., 57:2 (2013), 209–226  mathnet  crossref  crossref  zmath  isi  elib  elib
    15. Goldenshluger A., Lepski O., “Bandwidth Selection in Kernel Density Estimation: Oracle Inequalities and Adaptive Minimax Optimality”, Ann Statist, 39:3 (2011), 1608–1632  crossref  zmath  isi
    16. L. A. Sakhanenko, “Global rate optimality in a model for diffusion tensor imaging”, Theory Probab. Appl., 55:1 (2011), 77–90  mathnet  crossref  crossref  mathscinet  isi
    17. J. Math. Sci. (N. Y.), 163:3 (2010), 238–261  mathnet  crossref
    18. C. Butucea, A. Tsybakov, “Sharp optimality in density deconvolution with dominating bias. I”, Theory Probab. Appl., 52:1 (2008), 24–39  mathnet  mathnet  crossref  crossref  isi  scopus
    19. M. Guţă, L. Artiles, “Minimax estimation of the Wigner function in quantum homodyne tomography with ideal detectors”, Math. Meth. Stat., 16:1 (2007), 1  crossref
    20. I. A. Ibragimov, “On censored sample estimation of a multivariate analytic probability density”, Theory Probab. Appl., 51:1 (2007), 142–154  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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