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Levit, Boris Yakovlevich
Professor
Doctor of physico-mathematical sciences

Subject:

Optimal design in non-parametric regression

https://www.mathnet.ru/eng/person29292
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/201295

Publications in Math-Net.Ru Citations
2025
1. B. Y. Levit, “Minimax linear estimation on the half-line via Mellin transform”, Teor. Veroyatnost. i Primenen., 70:2 (2025),  228–246  mathnet; Theory Probab. Appl., 70:2 (2025), 185–199  scopus
1990
2. Z. M. Landsmsn, B. Ya. Levit, “Second-Order Asymptotic Minimax Estimation in the Presence of a Nuisance Parameter”, Probl. Peredachi Inf., 26:3 (1990),  50–66  mathnet  mathscinet  zmath; Problems Inform. Transmission, 26:3 (1990), 226–244
1985
3. Î. M. Dukarskiĭ, B. Ya. Levit, “Second-order minimax estimation in linear regression”, Teor. Veroyatnost. i Primenen., 30:4 (1985),  790–795  mathnet  mathscinet  zmath; Theory Probab. Appl., 30:4 (1986), 840–845  isi
4. B. Ya. Levit, “Second-order asymptotic optimality and positive solutions of Shrödinger's equation”, Teor. Veroyatnost. i Primenen., 30:2 (1985),  309–338  mathnet  mathscinet  zmath; Theory Probab. Appl., 30:2 (1986), 333–363  isi 4
1982
5. B. Ya. Levit, “Minimax estimation and positive solutions of elliptic equations”, Teor. Veroyatnost. i Primenen., 27:3 (1982),  525–546  mathnet  mathscinet  zmath; Theory Probab. Appl., 27:3 (1983), 563–586  isi 4
1980
6. P. V. Berkhin, B. Ya. Levit, “Second-Order Asymptotically Minimax Estimates for the Mean of a Normal Population”, Probl. Peredachi Inf., 16:3 (1980),  60–79  mathnet  mathscinet  zmath; Problems Inform. Transmission, 16:3 (1980), 212–229
7. B. Ya. Levit, “On the second order asymptotically minimax estimates”, Teor. Veroyatnost. i Primenen., 25:3 (1980),  561–576  mathnet  mathscinet  zmath; Theory Probab. Appl., 25:3 (1981), 552–568  isi 17
8. Yu. A. Koshevnik, B. Ya. Levit, “The boundaries of risk in the problem of estimation of symmetrical distributions”, Zap. Nauchn. Sem. LOMI, 98 (1980),  98–114  mathnet  mathscinet  zmath; J. Soviet Math., 21:1 (1983), 65–75 2
1979
9. P. V. Berkhin, B. Ya. Levit, “Asymptotically minimax estimates of the mean many-dimensional Gaussian law”, Uspekhi Mat. Nauk, 34:3(207) (1979),  193–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:3 (1979), 196–197 1
1978
10. B. Ya. Levit, “Asymptotically Efficient Estimation of Nonlinear Functionals”, Probl. Peredachi Inf., 14:3 (1978),  65–72  mathnet  mathscinet; Problems Inform. Transmission, 14:3 (1978), 204–209
11. B. Ya. Levit, A. M. Samarov, “Estimation of Spectral Functions”, Probl. Peredachi Inf., 14:2 (1978),  61–66  mathnet  mathscinet  zmath; Problems Inform. Transmission, 14:2 (1978), 120–124
12. B. Ya. Levit, “Infinite-dimensional informational bounds”, Teor. Veroyatnost. i Primenen., 23:2 (1978),  388–394  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:2 (1979), 371–377 24
1976
13. Yu. A. Koševnik, B. Ya. Levit, “On a non-parametric analogue of the information matrix”, Teor. Veroyatnost. i Primenen., 21:4 (1976),  759–774  mathnet  mathscinet  zmath; Theory Probab. Appl., 21:4 (1976), 738–753 69
1975
14. B. Ya. Levit, “Conditional Estimation of Linear Functionals”, Probl. Peredachi Inf., 11:4 (1975),  39–54  mathnet  mathscinet  zmath; Problems Inform. Transmission, 11:4 (1975), 291–302
15. B. Ya. Levit, “On efficiency of a class of non-parametric estimates”, Teor. Veroyatnost. i Primenen., 20:4 (1975),  738–754  mathnet  mathscinet  zmath; Theory Probab. Appl., 20:4 (1976), 723–740 44
1974
16. B. Ya. Levit, “On the behaviour of the generalized Âayes estimates for Markov observations”, Teor. Veroyatnost. i Primenen., 19:2 (1974),  340–354  mathnet  mathscinet  zmath; Theory Probab. Appl., 19:2 (1975), 332–346 2
1973
17. B. Ya. Levit, R. Z. Khas'minskii, “Sequential estimation of the parameter of a Markov chain”, Teor. Veroyatnost. i Primenen., 18:3 (1973),  571–582  mathnet  mathscinet  zmath; Theory Probab. Appl., 18:3 (1974), 546–558
1972
18. B. Ya. Levit, “Generalized Bayes Estimates for Transmission in Channels with Feedback”, Probl. Peredachi Inf., 8:3 (1972),  9–20  mathnet  mathscinet  zmath; Problems Inform. Transmission, 8:3 (1972), 184–193

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