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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. LOMI, 1980, Volume 98, Pages 61–85 (Mi znsl3286)

Estimation of distribution density
I. A. Ibragimov, R. Z. Khas'minskii

This publication is cited in the following 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
  21. Fabienne Comte, Yves Rozenholc, Marie‐Luce Taupin, “Penalized contrast estimator for adaptive density deconvolution”, Can J Statistics, 34:3 (2006), 431  crossref
  22. Cristina Butucea, Michael H. Neumann, “Exact asymptotics for estimating the marginal density of discretely observed diffusion processes”, Bernoulli, 11:3 (2005)  crossref
  23. I. A. Ibragimov, “Estimation of analytic densities based on censored data”, J. Math. Sci. (N. Y.), 133:3 (2006), 1290–1297  mathnet  crossref  mathscinet  zmath  elib
  24. Cristina Butucea, “Deconvolution of supersmooth densities with smooth noise”, Can J Statistics, 32:2 (2004), 181  crossref
  25. Marie-Luce Taupin, “Semi-Parametric Estimation in the Nonlinear Structural Errors-in-Variables Model”, Ann. Statist., 29:1 (2001)  crossref
  26. Laurent Cavalier, “Efficient estimation of a density in a problem of tomography”, Ann. Statist., 28:2 (2000)  crossref
  27. Seung Wook Yoon, Won Kyoung Choi, Hyuck Mo Lee, “Calculation of surface tension and wetting properties of Sn-Based solder alloys”, Scripta Materialia, 40:3 (1999), 297  crossref
  28. I. A. Ibragimov, R. Z. Khas'minskii, “Estimation problems for coefficients of stochastic partial differential equations. Part II”, Theory Probab. Appl., 44:3 (2000), 469–494  mathnet  mathnet  crossref  crossref  isi
  29. Lucien Birgé, Pascal Massart, “Rates of convergence for minimum contrast estimators”, Probab. Th. Rel. Fields, 97:1-2 (1993), 113  crossref
  30. Daren B. H. Cline, “Optimal kernel estimation of densities”, Ann Inst Stat Math, 42:2 (1990), 287  crossref
  31. A. Kazbaras, “Adaptive projectional estimate of distribution density”, Lith Math J, 27:4 (1988), 308  crossref
  32. R. Bentkus, “Rate of uniform convergence of statistical estimators of spectral density in spaces of differentiable functions”, Lith Math J, 25:3 (1986), 209  crossref
  33. Yu. I. Ingster, “An asymptotic minimax testing of nonparametric hypotheses on the density of the distribution of an independent sample”, J Math Sci, 33:1 (1986), 744  crossref
  34. R. Bentkus, “Asymptotics of minimax mean-square risk of statistical estimators of spectral density in the space L2”, Lith Math J, 25:1 (1985), 11  crossref
  35. A. Kazbaras, “Asymptotics of minimax risk estimates of distribution density in L2”, Lith Math J, 24:4 (1985), 334  crossref


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