Persons: Bulinski, Alexander Vadimovich

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Bulinski, Alexander Vadimovich

Statistics
in MathSciNet:	73 (70)
in zbMATH:	69 (68)
in Web of Science:	39 (36)
in Scopus:	13 (13)

Professor

Doctor of physico-mathematical sciences (1991)

E-mail:

Keywords:

limit theorems for stochastic processes and random fields, dependence conditions for systems of random variables (mixing, association etc.), moment and maximal inequalities for sums of multi-indexed summands, central limit theorem, functional law of the iterated logarithm, invariance principles, rates of convergence in limit theorems, Burgers' equation with random initial conditions, stochastic models in radio-biology, statistical methods of data analysis, estimation of genetic risks of complex diseases.

Subject:

Limit theorems for stochastic processes and random fields and their applications. Stochastic models for dependent data. Statistical methods of genetic data analysis.

Main publications:

A. Bulinski, A. Shashkin, Limit Theorems for Associated Random Fields and Related Systems, Advanced Series on Statistical Science and Applied Probability, 10, World Scientific, Singapore, 2007, 436 pp.
A. V. Bulinski, A. N. Shiryaev, Theory of Stochastic Processes, Classical University Textbook, Fizmatlit, Moscow, 2005 (in Russian)
A. Bulinski, “A new variant of the functional law of the iterated logarithm”, Theory of Probability and its Applications, 25:3 (1981), 493–503
A. Bulinski, A. Shashkin, “Strong invariance principle for dependent random fields”, Dynamics and Stochastics, Festscrift in honor of M. S. Keane, IMS Lecture Notes – Monograph Series, 48, 2006, 128–143
A. Bulinski, O. Butkovsky, V. Sadovnichy, A. Shashkin, P. Yaskov, A. Balatskiy, L. Samokhodskaya, V. Tkachuk, “Statistical Methods of SNP Data Analysis and Applications”, Open Journal of Statistics, 2:1 (2012), 1–15

https://www.mathnet.ru/eng/person59805

https://ru.wikipedia.org/wiki/Bulinskii,_Aleksandr_Vadimovich

List of publications on Google Scholar

https://zbmath.org/authors/ai:bulinskii.alexandre-v

https://mathscinet.ams.org/mathscinet/MRAuthorID/190830

https://elibrary.ru/author_items.asp?spin=9885-3165

ISTINA

https://istina.msu.ru/workers/392093

https://orcid.org/0000-0003-0240-3375

https://www.webofscience.com/wos/author/record/AFN-3486-2022

https://www.scopus.com/authid/detail.url?authorId=57211772007

https://www.researchgate.net/profile/Alexander-Bulinski

Full list of publications:

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List of publications:

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		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1.	A. V. Bulinski, “Stability properties of feature selection measures”, Theory Probab. Appl., 69:1 (2024), 25–34
2.	Al. V. Bulinski, “On an example of expectation evaluation”, Theory Probab. Appl., 69:2 (2024), 313–321
3.	Alexander Bulinski, “Forward Selection of Relevant Factors by Means of MDR-EFE Method”, Mathematics, 12:6 (2024), 831 , 25 pp.	1 ^[x]
4.	A. V. Bulinski, “On relevant features selection based on information theory”, Theory Probab. Appl., 68:3 (2023), 392–410
5.	A. Bulinski, N. Slepov, “Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws”, Mathematics, 10:24 (2022), 4747 , 37 pp.	6 ^[x]
6.	Alexander Bulinski, Alexey Kozhevin, “Statistical estimation of mutual information for mixed model”, Methodol. Comput. Appl. Probab., 23 (2021), 123–142	4 ^[x]
7.	Alexander Bulinski, Denis Dimitrov, “Statistical estimation of the Kullback–Leibler divergence”, Mathematics, 9:5 (2021), 544 , 36 pp.	17 ^[x]
8.	Alexander Bulinski, Denis Dimitrov, “Statistical Estimation of the Shannon Entropy”, Acta Math. Sin., Engl. Ser., 35:1 (2019), 17–46	27 ^[x]
9.	Alexander Bulinski, Alexey Kozhevin, “Statistical estimation of conditional Shannon entropy”, ESAIM, Probab. Stat., 23 (2019), 350–386	8 ^[x]
10.	Alexander Bulinski, Alexey Kozhevin, “New version of the MDR method for stratified samples”, Stat. Optim. Inf. Comput., 5:1 (2017), 1–18	4 ^[x]
11.	A. V. Bulinski, “Conditional central limit theorem”, Theory Probab. Appl., 61:4 (2017), 613–631
12.	A. Bulinski, A. Rakitko, “Simulation and analytical approach to the identification of significant factors”, Comm. Statist. Simulation Comput., 45:5 (2016), 1430–1450
13.	A. V. Bulinski, “Estimate of the interaction neighborhood radius for a Markov random field”, Theory Probab. Appl., 60:2 (2016), 313–318
14.	A. Bulinski, “Central limit theorem related to MDR-method”, Asymptotic laws and methods in stochastics, Fields Inst. Commun., 76, Fields Inst. Res. Math. Sci., Toronto, ON, 2015, 113–128	1 ^[x]
15.	Alexander Bulinski, Alexander Rakitko, “MDR method for nonbinary response variable”, J. Multivariate Anal., 135 (2015), 25–42	1 ^[x]
16.	Alexander Bulinski, “Some statistical methods in genetics”, Stochastic geometry, spatial statistics and random fields, Lect. Notes Math., 2120, Springer, Cham, 2014, 293–320
17.	A. V. Bulinski, A. S. Rakitko, “Estimation of nonbinary random response”, Dokl. Math., 89:2 (2014), 225–229
18.	Alexander Bulinski, Evgeny Spodarev, “Central limit theorems for weakly dependent random fields”, Stochastic geometry, spatial statistics and random fields, Lect. Notes Math., 2068, Springer, Heidelberg, 2013, 337–383	3 ^[x]
19.	Alexander Bulinski, Evgeny Spodarev, “Introduction to random fields”, Stochastic geometry, spatial statistics and random fields, Lect. Notes Math., 2068, Springer, Heidelberg, 2013, 277–335	1 ^[x]
20.	A. Bulinski, O. Butkovsky, V. Sadovnichy, A. Shashkin, P. Yaskov, A. Balatskiy, L. Samokhodskaya, V. Tkachuk, “Statistical methods of SNP data analysis and applications”, Open J. Stat., 2:1 (2012), 73–87	11 ^[x]
21.	A. V. Bulinski, “To the foundation of the dimensionality reduction method for explanatory variables”, J. Math. Sci. (N. Y.), 199:2 (2014), 113–122
22.	Alexander Bulinski, Evgeny Spodarev, Florian Timmermann, “Central limit theorems for the excursion set volumes of weakly dependent random fields”, Bernoulli, 18:1 (2012), 100–118	43 ^[x]
23.	A. V. Bulinski, “Central limit theorem for random fields and applications”, Advances in Data Analysis. Theory and Applications to Reliability and Inference, Data Mining, Bioinformatics, Lifetime Data, and Neural Networks, Stat. Ind. Technol., 24, ed. C. H. Skiadas, Birkhäuser, Boston, 2010, 141–150
24.	A. Bulinski, N. Kryzhanovskaya, “Convergence rate in CLT for vector-valued random fields with self-normalization”, Probability and Mathematical Statistics, 26:2 (2006), 261–281
25.	A. Bulinski, A. Shashkin, “Strong invariance principle for dependent random fields”, Dynamics and Stochastics, Festschrift in honor of M.S. Keane, IMS Lecture Notes-Monograph Series, 48, Institute of Mathematical Statistics, 2006, 128–143	7 ^[x]
26.	A. V. Bulinski, “Statistical Version of the Central Limit Theorem for Vector-Valued Random Fields”, Math. Notes, 76:4 (2004), 455–464
27.	A. Bulinski, A. Khrennikov, “Nonclassical total probability formula and quantum interference of probabilities”, Statist. Probab. Lett., 70:1 (2004), 49–58	5 ^[x]
28.	A. V. Bulinski, A. P. Shashkin, “Rates in the CLT for sums of dependent multiindexed random vectors”, J. Math. Sci. (N.Y.), 122:4 (2004), 3343–3358	8 ^[x]
29.	A. V. Bulinski, N. V. Millionschikov, “The normal approximation rate for kernel estimates of the density of a quasi-associated random field”, Theory Probab. Math. Statist., 2003, no. 66, 37–48
30.	A. V. Bulinski, S. V. Dil'man, “Universal normalization in the law of the iterated logarithm”, Russian Math. Surveys, 57:2 (2002), 418–419
31.	A. Bulinski, Ch. Suquet, “Normal approximation for quasi-associated random fields”, Statistics and Probability Letters, 54:2 (2001), 215–226	44 ^[x]
32.	A. V. Bulinski, E. Shabanovich, “Asymptotical behaviour for some functionals of positively and negatively dependent random fields”, Fundam. Prikl. Mat., 4:2 (1998), 479–492
33.	Yu. Yu. Bakhtin, A. V. Bulinski, “Moment inequalities for sums of dependent multiindexed random variables”, Fundam. Prikl. Mat., 3:4 (1997), 1101–1108
34.	A. V. Bulinski, M. A. Vronskii, “Statistical variant of the CLT for associated random fields”, Fundam. Prikl. Mat., 2:4 (1996), 999–1018
35.	A. V. Bulinski, M. A. Lifshits, “Rates of clustering in Strassen's law for random polygons”, J. Math. Sci. (New York), 93:3 (1999), 287–293
36.	A. V. Bulinski, M. S. Keane, “Invariance principle for associated random fields”, J. Math. Sci., 81:5 (1996), 2905–2911	17 ^[x]
37.	A. V. Bulinski, “On the convergence rates in the CLT for positively and negatively dependent random fields”, Probability Theory and Mathematical Statistics, eds. I. A. Ibragimov, A. Yu. Zaitsev, Gordon and Breach Publishers, Amsterdam, 1996, 3–14
38.	A. V. Bulinski, “The functional law of the iterated logarithm for associated random fields”, Fundam. Prikl. Mat., 1:3 (1995), 623–639
39.	A. V. Bulinski, M. A. Lifshits, “Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors”, Russian Math. Surveys, 50:5 (1995), 925–944
40.	A. V. Bulinski, “Rate of convergence in the central limit theorem for fields of associated random variables”, Theory Probab. Appl., 40:1 (1995), 136–144
41.	A. V. Bulinski, M. A. Lifshits, “Rate of convergence in the functional law of the iterated logarithm for nonstandard normalizations”, Dokl. Math., 49:2 (1994), 294–297
42.	A. V. Bulinski, “Inequalities for the moments of sums of associated multi-indexed variables”, Theory Probab. Appl., 38:2 (1993), 342–349
43.	A. V. Bulinskii, “Nekotorye shtrikhi k portretu A. N. Kolmogorova”, Kolmogorov v vospominaiyakh, ed. A. N. Shiryaev, Nauka, M., 1993, 407–433
44.	A. V. Bulinski, M. R. Usmanov, “A remark on moment inequalities for a sequence of associated variables”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 5, 72–73
45.	A. V. Bulinski, “Central limit theorem for the solution of the multidimensional Burgers equation with random data”, Ann. Acad. Sci. Fenn. Ser. A I Math., 17:1 (1992), 11–22	6 ^[x]
46.	A. V. Bulinskii, S. A. Molchanov, “Asymptotic Gaussian property of the solution of the Burgers equation with random initial data”, Theory Probab. Appl., 36:2 (1991), 217–236
47.	A. V. Bulinski, P. Doukhan, “Vitesse de convergence dans le theoreme de limite centrale pour des champs melangeants satisfaisant des hypotheses de moments faibles”, C. R. Acad. Sci. Paris Sér. I Math., 311:12 (1990), 801–805
48.	A. V. Bulinski, “CLT for families of integral functionals arising in solving the multidimensional Burgers equation”, Probability Theory and Mathematical Statistics, v. 1, Mokslas, Vilnius; VSP, Utrecht, Netherlands, 1990, 207–216
49.	A. V. Bulinskii, “The CLT for shot-noise fields”, J. Soviet Math., 61:1 (1992), 1840–1845
50.	A. Bulinski, “Le comportement du maximum de sommes de variables aleatoires multi-indexees”, C. R. Acad. Sci. Paris Sér. I Math., 306:13 (1988), 561–564
51.	A. V. Bulinski, “On various conditions for mixing and asymptotic normality of random fields”, Dokl. Math., 37:2 (1988), 443–448
52.	A. V. Bulinskii, A. N. Kolmogorov, “Randomizirovannye eksperimenty i optimalnye statisticheskie vyvody”, Planirovanie i otsenka effektivnosti rabot po iskusstvennomu uvelicheniyu osadkov, Gidrometeoizdat, M., 1988, 69–76
53.	A. V. Bulinskii, N. V. Verdenskaya, “An Estimate of the Convergence Rate in the Functional Law of the Iterated Logarithm”, Theory Probab. Appl., 32:2 (1987), 334–337
54.	A. Bulinski, P. Doukhan, “Inegalites de melange fort utilisant des normes d'Orlicz”, C. R. Acad. Sci. Paris Sér. I Math., 305 (1987), 827–830
55.	A. V. Bulinski, “Limit theorems under weak dependence conditions”, Probability Theory and Mathematical Statistics, v. 1, Mokslas, Vilnius; VSP, Utrecht, Netherlands, 1987, 307–326
56.	A. V. Bulinskij, “An estimate for the rate of convergence in the central limit theorem for random fields”, Dokl. Akad. Nauk SSSR, 291:1 (1986), 22–25
57.	A. V. Bulinskii, “Analogs of Mann–Whitney statistics in an experiment with symmetric randomization”, Theory Probab. Appl., 29:4 (1985), 795–798
58.	A. V. Bulinski, “Measures of dependence that are close to the maximum correlation coefficient”, Dokl. Akad. Nauk SSSR, 277:6 (1984), 1296–1298
59.	A. V. Bulinskiǐ, “On a class of optimal estimators of sums of random variables”, Theory Probab. Appl., 28:2 (1984), 419–425
60.	A. V. Bulinski, O. I. Shipilov, “On the Mann–Whitney statistic in an experiment with randomization”, Dokl. Akad. Nauk SSSR, 269:4 (1983), 789–792
61.	A. V. Bulinski, “On the rate of convergence in the functional law of the iterated logarithm”, Dokl. Akad. Nauk SSSR, 263:2 (1982), 274–276
62.	A. V. Bulinski, “On a form of the invariance principle”, Dokl. Akad. Nauk SSSR, 267:1 (1982), 22–26
63.	A. V. Bulinskiǐ, “A new variant of the functional law of the iterated logarithm”, Theory Probab. Appl., 25:3 (1981), 493–503
64.	A. V. Bulinski, “Linear estimators of sums of random variables”, Dokl. Akad. Nauk SSSR, 255:4 (1980), 784–789
65.	A. V. Bulinskiǐ, A. N. Kolmogorov, “Linear sampling estimations of sums”, Theory Probab. Appl., 24:2 (1979), 241–252
66.	A. V. Bulinski, “The central limit theorem for random fields with strong and weak dependence”, Dokl. Akad. Nauk SSSR, 248:1 (1979), 17–19
67.	A. V. Bulinski, “On the functional law of the iterated logarithm”, Dokl. Akad. Nauk SSSR, 238:5 (1978), 1025–1027
68.	A. V. Bulinskiǐ, “Remarks on the normalization in the law of the iterated logarithm”, Theory Probab. Appl., 22:2 (1978), 398–399
69.	A. V. Bulinski, “On the speed of convergence in the central limit theorem for additive random functions”, Dokl. Akad. Nauk SSSR, 235:4 (1977), 741–744
70.	A. V. Bulinskiǐ, I. G. Žurbenko, “A central limit theorem for additive random functions”, Theory Probab. Appl., 21:4 (1977), 687–697
71.	A. V. Bulinski, I. G. Zhurbenko, “The central limit theorem for random fields”, Dokl. Akad. Nauk SSSR, 226:1 (1976), 23–25
72.	A. V. Bulinski, “Estimations of semi-invariants and high-order covariances of bounded random variables”, Theory Probab. Appl., 19:4 (1975), 835–839
Proceedings

73.	A. V. Bulinski et al., “On analogues of Berry-Esseen estimate for associated random fields”, Stability Problems in Stochastic Models (Perm, 1992), eds. Zolotarev, V. M. et al., TVP, M., 1994, 9–20
74.	A. V. Bulinski, “Some problems of asymptotical analysis of nonlinear diffusion”, Probability Theory and Mathematical Statistics, Proceedings of VI USSR-Japan Symposium, eds. A. N. Shiryaev et al., World Scientific, Singapore, 1992, 32–46
Preprints

75.	A. V. Bulinski, Generalization of the critical volume NTCP in the radiobiology, Prepublication no 968 Probabilites et Modeles Aleatoires, l'Universite Pierre et Marie Curie, Paris-VI, 2005 , 13 pp. https://dumas.ccsd.cnrs.fr/PMA/hal-00004667v1
Information matherials

76.	A. V. Bulinski, Mat. Pros., 31, MCCME, Moscow, 2023, 5–36
77.	A. V. Bulinski, M. A. Vronskii, “Information about meeting of Shyryaev seminar (1999)”, Theory Probab. Appl., 44:3 (2000), 622–631
Personalia

78.	A. V. Bulinski, A. A. Gushchin, M. V. Zhitlukhin, V. V. Kozlov, A. D. Manita, A. A. Muravlev, A. A. Novikov, I. V. Pavlov, D. V. Treschev, A. S. Holevo, E. B. Yarovaya, P. A. Yaskov, “Albert Nikolaevich Shiryaev (on his 90th birthday)”, Russian Math. Surveys, 80:1 (2025), 161–168
79.	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
80.	G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1131–1136
81.	A. V. Bulinski, “Central limit theorem for positively associated stationary random fields”, Vestnik St. Petersburg Univ. Math., 44:2 (2011), 89–96
82.	A. V. Bulinski, A. P. Shashkin, “Strong invariance principle for dependent multi-indexed random variables”, Dokl. Math., 72:1 (2005), 503–506
83.	A. V. Bulinski, M. A. Lifshits, “The best rate of convergence in the Strassen law for random polygons”, Moscow University Mathematics Bulletin, 50:1 (1995), 31–36
84.	Theory Probab. Appl., 37:4 (1993), 707–760
85.	A. V. Bulinski, “Asymptotic normality of random fields with mixing”, Dokl. Math., 32 (1985), 523–527

Presentations in Math-Net.Ru

1.	Статистические оценки условных информационных характеристик Al. V. Bulinski Seminar on Probability Theory and Mathematical Statistics October 31, 2025 19:00
2.	Дельта метод и его применения Al. V. Bulinski Principle Seminar of the Department of Probability Theory, Moscow State University September 24, 2025 16:45
3.	Вклад математиков и механиков в победу в Великой Отечественной войне Al. V. Bulinski Principle Seminar of the Department of Probability Theory, Moscow State University April 23, 2025 16:45
4.	Вклад математиков и механиков в Великую Победу Al. V. Bulinski Scientific historical conference "Contribution of the Mathematicians and Cryptographers to the Victory" April 22, 2025 15:30
5.	Информационные методы идентификации значимых факторов Al. V. Bulinski Conference "Stochastics" in honor of Professor Albert Shiryaev's 90th anniversary October 15, 2024 11:30
6.	Contribution of academician A.N. Kolmogorov to the creation of modern probability theory Al. V. Bulinski Seminar on the History of Mathematics September 5, 2024 18:00
7.	Выбор значимых факторов, влияющих на изучаемый случайный отклик Al. V. Bulinski Seminar on Probability Theory and Mathematical Statistics December 8, 2023 18:00
8.	Метод Стейна и его развитие Al. V. Bulinski Principle Seminar of the Department of Probability Theory, Moscow State University September 14, 2022 16:45
9.	Современные проблемы высшего математического образования Al. V. Bulinski General Meeting of the Branch of Mathematical Sciences, RAS, 2020 December 7, 2020 13:20
10.	Статистические оценки энтропии Шеннона, дивергенции Кульбака - Лейблера и взаимной информации Al. V. Bulinski Seminar on Theory of Functions of Real Variables December 6, 2019 18:30
11.	Статистические оценки дивергенции Кульбака-Лейблера и их приложения Al. V. Bulinski Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS October 10, 2019 13:00
12.	(a) Статистические оценки энтропии и их свойства; (b) Ветвящиеся случайные блуждания с легкими или тяжелыми хвостами распределений скачков A. V. Bulinski, E. Vl. Bulinskaya Dobrushin Mathematics Laboratory Seminar February 26, 2019 16:00
13.	Статистические оценки энтропии и их свойства A. V. Bulinski Seminar on Probability Theory and Mathematical Statistics February 22, 2019 18:00
14.	Probabilistic and statistical methods of significant factors identification A. V. Bulinski Steklov Mathematical Institute Seminar June 18, 2015 16:00
15.	Семинар, посвященный памяти Юрия Васильевича Прохорова. Некоторые статистические задачи, связанные с теорией случайных полей A. V. Bulinski Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS December 15, 2014 13:00
16.	Generalizations of the multifactor dimensionality reduction method A. V. Bulinski Conference "Stochastics, Statistics, Financial Mathematics" in honor of Professor Albert Shiryaev's 80th anniversary October 13, 2014 15:15
17.	Оценивание небинарного случайного отклика A. V. Bulinski Seminar on Probability Theory and Mathematical Statistics February 28, 2014 19:00
18.	Новые статистические методы и их применение к анализу генетических данных A. V. Bulinski Meetings of the Moscow Mathematical Society April 10, 2012 18:30
19.	The central limit theorem for random fields Al. V. Bulinski Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis" February 16, 2012 15:00
20.	Некоторые следствия обращения в нуль «квантового разлада» (quantum discord) A. V. Bulinski Seminar on Quantum Probability, Statistics, Information December 12, 2011 16:30
21.	Новые статистические методы и их применение в генетике A. V. Bulinski Seminar on Probability Theory and Mathematical Statistics November 18, 2011 18:00
22.	О гипотезе Ньюмена A. V. Bulinski Meetings of the Moscow Mathematical Society October 11, 2011 18:30
23.	Идентификация наборов полиморфизмов, увеличивающих риск сложного заболевания Al. V. Bulinski Principle Seminar of the Department of Probability Theory, Moscow State University December 8, 2010 16:45
24.	CLT for the excursion sets of random fields A. Bulinskii International Symposium "Visions in Stochastics (Leaders and their Pupils)" November 3, 2010 11:00
25.	Стохастические модели в радиобиологии A. V. Bulinski Meetings of the Moscow Mathematical Society May 13, 2008
26.	Исследование стохастических систем, зависимость которых описывается ковариационными неравенствами A. V. Bulinski Principle Seminar of the Department of Probability Theory, Moscow State University November 7, 2007 16:45
27.	Сопоставление преподавания теории вероятностей, математической статистики и случайных процессов на механико-математическом факультете МГУ и в ведущих зарубежных учебно-научных центрах A. V. Bulinski Principle Seminar of the Department of Probability Theory, Moscow State University November 8, 2006
28.	Некоторые стохастические модели радиобиологии A. V. Bulinski Principle Seminar of the Department of Probability Theory, Moscow State University November 17, 2004

Organisations

Articles

Proceedings

Preprints

Information matherials

Personalia