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Bakirov, Nail Kutluzhanovich
(1952–2010)
Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 27

Number of views:
This page:807
Abstract pages:7898
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References:651
Professor
Doctor of physico-mathematical sciences (1995)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 30.03.1952
Keywords: theory of probability, theory of random processes, mathematical ststistics, mathematical analysis.

Subject:

Some optimal inequalities for c.d.f.'s of quadratic forms of centered Gaussian random variables and for c.d.f.'s of some other nonlinear functions of random variables are obtained. Second terms in asymptotic expansions for c.d.f.'s of integral functionals and functionals of supremum type of random walk are obtained. Procedures for testing nonparametric hypotheses for multivariate data are suggested.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1974 (department of theory of functions and functional analysis). Ph.D. thesis was defended in 1979. D.Sci. thesis was defended in 1995. A list of my works contains more than 50 titles.
   
Main publications:
  1. N.K. Bakirov, “Teoremy sravneniya dlya funktsii raspredeleniya kvadratichnykh form ot gaussovskikh velichin”, Teoriya veroyatnostei i ee primeneniya, 40:2 (1995), 404–412  mathscinet  zmath
  2. N.K. Bakirov, “Utochnenie asimptotiki v printsipe invariantnosti Donskera–Prokhorova dlya integralnykh funktsionalov”, Teoriya veroyatnostei i ee primeneniya, 40:4 (1995), 705–730  mathscinet  zmath
  3. N.K. Bakirov, “Lokalnaya asimptoticheskaya normalnost dlya gaussovskikh statsionarnykh posledovatelnostei s vyrozhdayuscheisya spektralnoi plotnostyu”, Problemy peredachi informatsii, 32:2 (1996), 68–76  mathnet  mathscinet  zmath
  4. N.K. Bakirov, “An extremal property of the binomial distribution”, Mathematical Methods of Statistics, 2:2 (1993), 165–170  mathscinet  zmath
  5. N.K. Bakirov, “Testing nonparametric hypothesis for random processes”, Probability theory and mathematical statistics, Proc. Sixth USSR-Japan Symp. (Kiev, Aug. 1991), World Sci. Publ., River Edge, NJ, 1992, 1–4  mathscinet  zmath

https://www.mathnet.ru/eng/person17476
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/219120

Publications in Math-Net.Ru Citations
2011
1. N. K. Bakirov, “An asymptotically optimal cubic spline”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4,  8–14  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:4 (2011), 5–11  scopus
2010
2. N. K. Bakirov, I. R. Gallyamov, “Comparison of numerical integration formulas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12,  3–19  mathnet  mathscinet; Russian Math. (Iz. VUZ), 54:12 (2010), 1–16  scopus
3. N. K. Bakirov, G. J. Szekely, “Brownian covariance and central limit theorem for stationary sequences”, Teor. Veroyatnost. i Primenen., 55:3 (2010),  462–488  mathnet  mathscinet; Theory Probab. Appl., 55:3 (2011), 371–394  isi  scopus 5
4. N. K. Bakirov, M. V. Snachev, “The test: does the input flow intensity grow in queuing system?”, Ufimsk. Mat. Zh., 2:3 (2010),  17–30  mathnet  zmath
5. V. A. Baikov, N. K. Bakirov, A. A. Yakovlev, “Asymptotic behavior of the variogramm at zero”, Ufimsk. Mat. Zh., 2:3 (2010),  10–16  mathnet  zmath
2009
6. N. K. Bakirov, “Asymptotics for the probability of not exceeding a curvilinear level by a Gaussian random walk”, Izv. RAN. Ser. Mat., 73:1 (2009),  49–78  mathnet  mathscinet  zmath  elib; Izv. Math., 73:1 (2009), 47–77  isi  elib  scopus
7. N. K. Bakirov, “Testing homogeneity and symmetry for multivariate data”, Ufimsk. Mat. Zh., 1:4 (2009),  3–23  mathnet  zmath
2007
8. N. K. Bakirov, “Optimal error of numerical integration with regard to function values at integration points”, Sib. Zh. Vychisl. Mat., 10:1 (2007),  29–42  mathnet  elib
2005
9. N. K. Bakirov, “Correction of the formulas for calculating thick-walled cylinders and spherical shells”, Sib. Zh. Ind. Mat., 8:4 (2005),  3–6  mathnet  zmath; J. Appl. Industr. Math., 1:2 (2007), 148–151
10. N. K. Bakirov, G. J. Szekely, “Student's $t$-test for Gaussian scale mixtures”, Zap. Nauchn. Sem. POMI, 328 (2005),  5–19  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 139:3 (2006), 6497–6505  scopus 16
1997
11. N. K. Bakirov, A. Kh. Sultanov, “A Non-parametric Search Method for Many-Dimensional Discord”, Avtomat. i Telemekh., 1997, no. 8,  80–90  mathnet  mathscinet  zmath; Autom. Remote Control, 58:8 (1997), 1314–1322 3
1996
12. N. K. Bakirov, “Local Asymptotical Normality for Stationary Gaussian Sequences with Degenerate Spectral Density”, Probl. Peredachi Inf., 32:2 (1996),  68–76  mathnet  mathscinet  zmath; Problems Inform. Transmission, 32:2 (1996), 197–204
1995
13. N. K. Bakirov, “A refinement of asymptotics in the Prokhorov–Donsker invariance principle for integral functionals”, Teor. Veroyatnost. i Primenen., 40:4 (1995),  709–730  mathnet  mathscinet  zmath; Theory Probab. Appl., 40:4 (1995), 613–634  isi
14. N. K. Bakirov, “The extrema of the distribution function for the ratio of quadratic forms in Gaussian variables”, Teor. Veroyatnost. i Primenen., 40:3 (1995),  642–646  mathnet  mathscinet  zmath; Theory Probab. Appl., 40:3 (1995), 542–546  isi
15. N. K. Bakirov, “Comparison theorems for distribution functions of quadratic forms of Gaussian vectors”, Teor. Veroyatnost. i Primenen., 40:2 (1995),  404–412  mathnet  mathscinet  zmath; Theory Probab. Appl., 40:2 (1995), 340–348  isi 7
16. N. K. Bakirov, “A uniqueness property of the chi-square distribution”, Teor. Veroyatnost. i Primenen., 40:1 (1995),  159–165  mathnet  mathscinet  zmath; Theory Probab. Appl., 40:1 (1995), 130–136  isi
1993
17. N. K. Bakirov, “An application of the Neyman–Oearson lemma to Gaussian processes”, Zap. Nauchn. Sem. POMI, 207 (1993),  5–12  mathnet  mathscinet  zmath; J. Math. Sci., 81:1 (1996), 2357–2362
1990
18. N. K. Bakirov, “Nonparametric hypothesis testing for stochastic processes”, Zap. Nauchn. Sem. LOMI, 184 (1990),  8–13  mathnet  mathscinet  zmath; J. Math. Sci., 68:4 (1994), 400–404
1989
19. N. K. Bakirov, “Extrema of Distributions of Quadratic Forms in Gaussian Variables”, Teor. Veroyatnost. i Primenen., 34:2 (1989),  241–250  mathnet  mathscinet  zmath; Theory Probab. Appl., 34:2 (1989), 207–215  isi 5
1988
20. N. K. Bakirov, “Extrema of the Distribution of Statistics $S^2$”, Teor. Veroyatnost. i Primenen., 33:1 (1988),  184–188  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:1 (1988), 171–175  isi
21. N. K. Bakirov, “Observations of unequal accuracy in the Behrens-Fisher problem”, Zap. Nauchn. Sem. LOMI, 166 (1988),  6–8  mathnet  zmath
1987
22. N. K. Bakirov, “Central limit theorem for weakly dependent variables”, Mat. Zametki, 41:1 (1987),  104–109  mathnet  mathscinet  zmath; Math. Notes, 41:1 (1987), 63–67  isi 3
1986
23. N. K. Bakirov, “Extrema of the distributions of quadratic forms of random variables and related problems of statistics”, Dokl. Akad. Nauk SSSR, 291:3 (1986),  525–528  mathnet  mathscinet  zmath 1
24. N. K. Bakirov, “Extreme property of Student's distribution”, Zap. Nauchn. Sem. LOMI, 153 (1986),  16–26  mathnet  zmath
25. N. K. Bakirov, “Asymptotic behaviour of the power of quantile criteria”, Zap. Nauchn. Sem. LOMI, 153 (1986),  5–15  mathnet  zmath
1977
26. N. K. Bakirov, “Likelihood ratio for densities with singularity”, Zap. Nauchn. Sem. LOMI, 74 (1977),  66–82  mathnet  mathscinet  zmath; J. Soviet Math., 34:1 (1986), 1403–1413
27. N. K. Bakirov, “Local asymptotic normality for stationary sequences of observations”, Zap. Nauchn. Sem. LOMI, 72 (1977),  6–25  mathnet  mathscinet  zmath; J. Soviet Math., 23:3 (1983), 2229–2242
2003
28. N. K. Bakirov, A. A.-V. Mustafaev, “Mean-Square Trend”, Avtomat. i Telemekh., 2003, no. 7,  143–152  mathnet  mathscinet  zmath; Autom. Remote Control, 64:7 (2003), 1145–1153  isi  scopus
1988
29. N. K. Bakirov, “Letter to the Editors”, Teor. Veroyatnost. i Primenen., 33:4 (1988),  823  mathnet  mathscinet; Theory Probab. Appl., 33:4 (1988), 765 2

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