01.01.05 (Probability theory and mathematical statistics)
Birth date:
29.07.1983
E-mail:
Subject:
Probability Theory and Mathematical Statistics, Stochastic Processes, Discrete Mathematics.
Main publications:
Mikhailov V. G., Mezhennaya N. M., “Otsenki dlya veroyatnosti plotnogo vlozheniya odnoi diskretnoi posledovatelnosti v druguyu”, Diskretnaya matematika, 17:3 (2005), 19–27
N. M. Mezhennaya, V. G. Mikhailov, “O raspredelenii chisla edinits v vykhodnoi posledovatelnosti generatora Pola nad polem $GF(2)$”, Matem. vopr. kriptogr., 4:4 (2013), 95–107
N. M. Mezhennaya, V. G. Mikhailov, “O chisle poyavlenii znakov v multitsiklicheskoi sluchainoi posledovatelnosti po modulyu 4”, Diskret. matem., 26:4 (2014), 51–58; Discrete Math. Appl., 25:6 (2015), 359–365
N. M. Mezhennaya, “O chisle sovpadenii znakov v diskretnoi sluchainoi posledovatelnosti, upravlyaemoi tsepyu Markova”, Sib. elektron. matem. izv., 13 (2016), 305–317
N. M. Mezhennaya, V. G. Mikhailov, “O svoistvakh vykhodnoi posledovatelnosti multitsiklicheskogo generatora nad pryamoi summoi grupp vychetov po modulyu 2”, Diskret. matem., 29:3 (2017), 45–53
N. M. Mezhennaya, V. G. Mikhailov, “On the distribution of the number of ones in the output sequence of the MCV-generator over $GF(2)$”, Mat. Vopr. Kriptogr., 4:4 (2013), 95–107
2.
V. G. Mikhailov, N. M. Mezhennaya, “Bounds for the probability of a dense embedding of one discrete sequence into another”, Discrete Math. Appl., 15:4 (2005), 377–386
3.
N. M. Mezhennaya, “On distribution of number of ones in binary multicycle sequence”, Prikl. Diskr. Mat., 2015, no. 1(27), 69–77
4.
N. M. Mezhennaya, “Limit theorems for the number of dense series in a random sequence”, Discrete Math. Appl., 19:2 (2009), 215–228
5.
V. G. Mikhailov, N. M. Mezhennaya, A. V. Volgin, “On the asymptotic normality conditions for the number of repetitions in a stationary random sequence”, Discrete Math. Appl., 32:6 (2022), 391–401
6.
N. M. Mezhennaya, “Testing of embedding with margin for discrete random sequences”, Prikl. Diskr. Mat. Suppl., 2018, no. 11, 12–14
7.
N. M. Mezhennaya, V. G. Mikhailov, “On frequencies of elements in multicyclic random sequence modulo 4”, Discrete Math. Appl., 25:6 (2015), 359–365
8.
V. G. Mikhailov, N. M. Mezhennaya, “Normal approximation for U- and V-statistics of a stationary absolutely regular sequence”, Siberian Electronic Mathematical Reports, 17 (2020), 672-682 http://semr.math.nsc.ru/v17/p672-682.pdf, arXiv: 1904.06691
N. M. Mezhennaya, V. G. Mikhailov, “O chisle edinits v tsikle multitsiklicheskoi posledovatelnosti, opredelyaemoi bulevoi funktsiei”, Sib. elektron. matem. izv., 16 (2019), 229–235
N. M. Mezhennaya, V. G. Mikhailov, “On the asymptotic normality of frequencies of values in the non-equiprobable multi-cyclic random sequence modulo 4”, Mat. Vopr. Kriptogr., 7:4 (2016), 81–94
11.
N. M. Mezhennaya, “On the number of characters matchings in discrete random sequence controlled by Markov chain”, Sib. Èlektron. Mat. Izv., 13 (2016), 305–317
12.
Mezhennaya N.M., “On the number of characters matchings in discrete random sequence controlled by Markov chain”, Siberian Electronic Mathematical Reports, 1 (2016), 305=317
13.
N. M. Mezhennaya, V. G. Mikhailov, “On the number of ones in outcome sequence of extended Pohl generator”, Discrete Math. Appl., 30:5 (2020), 327–337
14.
N. M. Mezhennaya, “On the number of event appearances in a Markov chain”, Int. J. Appl. Math., 32:3 (2019), 537–547 http://www.diogenes.bg/ijam/contents/2019-32-3/13/index.html
N. M. Mezhennaya, “On the limit distribution of a number of runs in polynomial sequence controlled by Markov chain”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:3 (2016), 324–335
16.
N. M. Mezhennaya, V. G. Mikhailov, “On the Asymptotic Normality of The Frequencies of Letters in a Multicyclic Sequence”, Applied Discrete Mathematics, 2020, no. 48, 5-15 http://journals.tsu.ru/pdm/en/&journal_page=archive&id=1984&article_id=44359
17.
N. M. Mezhennaya, “On the number of $f$-recurrent runs and tuples in a finite Markov chain”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 18–21
18.
V. G. Mikhailov, N. M. Mezhennaya, “Sufficient conditions for asymptotic normality of U-statistic of stationary sequence in series”, Review of Applied and Industrial Mathematics, 26:1 (2019), 63–64
19.
Natalia M. Mezhennaya, Vladimir G. Mikhailov, “On the number of 1s per cycle of a binary random multicyclic sequence”, Int. J. Appl. Math., 32:5 (2019), 835–845;
20.
Mezhennaya N.M., Mikhailov V.G., “O chisle edinits v vykhodnoi posledovatelnosti multitsiklicheskogo generatora, opredelyaemogo bulevoi funktsiei”, Diskretnye modeli v teorii upravlyayuschikh sistem (X Mezhdunarodnaya konferentsiya), eds. Alekseev V. B., Romanov D. S., Danilov B. R., MAKS Press, Moskva, 2018, 195-198 http://mks2.cmc.msu.ru:8000/downloads/dm10_book.pdf
21.
Mezhennaya N.M., “On the number of ones in a multi-cyclic sequence with dependent signs”, Bulletin of BSU. Mathematics, Informatics, 2018, no. 2, 3-12 http://journals.bsu.ru/en/journals/vestniki/matinform/95/1152
22.
Mezhennaya N.M., Mikhailov V.G., “Limit theorem for number of ones in the extended Pohl generator outcome sequence”, Obozrenie prikl. i promyshl. matem, 25:1 (2018), 48-50
N. M. Mezhennaya, V. G. Mikhailov, Review of Applied and Industrial Mathematics, 25:3 (2018), 259–260
25.
N. M. Mezhennaya, V. G. Mikhailov, “On properties of output sequence of multi-cyclic generator over direct sum of residue groups modulo 2”, Discrete Math. Appl., 29:1 (2019), 15–21
26.
N. M. Mezhennaya, V. G. Mikhailov, Review of Applied and Industrial Mathematics, 24:3 (2017), 350–351
27.
N. M. Mezhennaya, “Estimator for the distribution of the numbers of runs in a random sequence controlled by stationary Markov chain”, Prikl. Diskr. Mat., 2017, no. 35, 14–28
28.
Mezhennaya N.M., “O raspredelenii chisel par i troek odinakovykh znakov na tsikle dvoichnoi multitsiklicheskoi posledovatelnosti”, Vestnik Buryatskogo gosudarstvennogo universiteta. Matematika, informatika, 2017, no. 3, 78–88 http://journals.bsu.ru/ru/journals/vestniki/matinform/63/824
29.
Mezhennaya N.M., “About testing the dense embedding hypothesis for discrete random sequences”, Bulletin of BSU. Mathematics, Informatics, 2017, no. 4, 9-20 http://journals.bsu.ru/en/journals/vestniki/matinform/66/852
30.
Mezhennaya N.M., Mikhailov V.G., “Predelnaya teorema dlya chastot znakov v multitsiklicheskoi posledovatelnosti nad pryamoi summoi grupp vychetov po modulyu 2”, Obozrenie prikl. i promyshl. matem, 24:4 (2017), 350-351
31.
Mezhennaya N.M., “On the distribution of the number of runs in polynomial sequence controlled by Markov chain”, Obozrenie prikl. i promyshl. matem, 23:2 (2016), 186-187
32.
Mezhennaya N.M., “O chisle poyavlenii znakov v multitsiklicheskoi sluchainoi posledovatelnosti po modulyu 4 s m-zavisimymi znakami”, 22, no. 5, 2015
33.
Mezhennaya N.M., Mikhailov V.G., “O raspredelenii chastot znakov v neravnoveroyatnoi multitsiklicheskoi sluchainoi posledovatelnosti po modulyu 4”, Obozrenie prikl. i promyshl. matem, 22:4 (2015), 478-480
34.
Mezhennaya N.M., “O raspredelenii chastot znakov v neravnoveroyatnoi multitsiklicheskoi sluchainoi posledovatelnosti po modulyu 4”, Mezhdunarodnyi zhurnal prikladnykh i fundamentalnykh issledovanii, 12:6 (2015), 1017-1021 (to appear) https://applied-research.ru/ru/article/view?id=8073
35.
Mezhennaya N.M., “Predelnye teoremy dlya chisla plotnykh F-rekurrentnykh serii i tsepochek v posledovatelnosti nezavisimykh sluchainykh velichin”, Vestnik Moskovskogo gosudarstvennogo tekhnicheskogo universiteta im. N.E. Baumana. Seriya: Estestvennye nauki, 3 (2014), 11-25 http://vestniken.ru/catalog/math/hidden/448.html
36.
Mezhennaya N.M., “Predelnye teoremy dlya chisla plotnykh serii s zadannymi parametrami v vykhodnoi posledovatelnosti generatora Pola”, Inzhenernyi zhurnal: nauka i innovatsii, 4:16 (2013), 1-8 http://engjournal.ru/catalog/fundamentals/math/661.html
37.
Mezhennaya N.M., “Predelnye teoremy dlya chisla plotnykh F-rekurrentnykh serii v posledovatelnosti nezavisimykh sluchainykh velichin”, Obozrenie prikl. i promyshl. matem, 20:4 (2013), 561-562
38.
N. M. Mezhennaya, V. G. Mikhailov, “Lower bounds for probabilities of embedding with arbitrary margin”, Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2012, no. 2, 3–11
39.
Mezhennaya N.M., “Predelnye teoremy dlya chisla (a,d)-serii zadannogo vesa v posledovatelnosti nezavisimykh sluchainykh velichin”, Inzhenernyi zhurnal: nauka i innovatsii, 4:4 (2012), 2 http://engjournal.ru/catalog/fundamentals/math/133.html
40.
Mezhennaya N.M., “Predelnaya teorema Puassona dlya chisla plotnykh serii zadannoi dliny i vesa”, Vestnik Moskovskogo gosudarstvennogo tekhnicheskogo universiteta im. N.E. Baumana. Seriya: Estestvennye nauki, 2011, no. S1, 75-82
41.
Mezhennaya N.M., Mikhailov V.G., “Nizhnie otsenki dlya veroyatnosti vlozheniya s proizvolnym dopuskom”, Obozrenie prikl. i promyshl. matem, 18:1 (2011), 182-183
42.
Mezhennaya N.M., Mikhailov V.G., “Odin podkhod k razlicheniyu gipotez v zadache o plotnom vlozhenii”, Obozrenie prikl. i promyshl. matem, 17:3 (2010)
43.
Mezhennaya N.M., Predelnye teoremy v zadachakh o plotnom vlozhenii i plotnykh seriyakh v diskretnykh sluchainykh posledovatelnostya, Diss. … kand. fiz.-matem. nauk, Moskovskii institut elektroniki i matematiki, Moskva, 2009 , 95 pp.
44.
Mezhennaya N.M., “Predelnye teoremy puassonovskogo tipa dlya chisla plotnykh serii v sluchainoi posledovatelnosti”, Obozrenie prikl. i promyshl. matem, 15:3 (2008), 565-566
45.
Mezhennaya N.M., “O skorosti skhodimosti raspredeleniya chisla serii razlichnoi dliny v sluchainoi posledovatelnosti s «razladkami» k raspredeleniyu Puassona”, Obozrenie prikl. i promyshl. matem, 14:2 (2007), 248-249
46.
Mezhennaya N.M., “Mnogomernaya normalnaya teorema dlya chisla monotonnykh serii zadannoi dliny v ravnoveroyatnoi sluchainoi posledovatelnosti”, Obozrenie prikl. i promyshl. matem, 14:3 (2007), 503–505
47.
Mezhennaya N.M., “Predelnye teoremy dlya serii iskhodov v posledovatelnosti Bernulli s razladkami”, Obozrenie prikl. i promyshl. matem, 12:2 (2005), 437-439
V. G. Mikhailov, N. M. Mezhennaya, “The rate of normal approximation for the distribution of the number of multiple repetitions of characters in a stationary random sequence”, Prikl. Diskr. Mat. Suppl., 2022, no. 15, 11–13
50.
V. G. Mikhailov, N. M. Mezhennaya, “About the rate of normal approximation for the distribution of the number of repetitions in a stationary discrete random sequence”, Prikl. Diskr. Mat., 2022, no. 58, 15–21
51.
N. M. Mezhennaya, V. G. Mikhailov, “Central limit theorem for $U$-statistics of tuples of vertex labels on a complete graph”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 30–32
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