Kulik, A. M.; Leonenko, N. N.; Papić, I.; Šuvak, N. Parameter estimation for non-stationary Fisher-Snedecor diffusion. (English) Zbl 07297548 Methodol. Comput. Appl. Probab. 22, No. 3, 1023-1061 (2020). MSC: 60G10 33C05 60J60 62M05 62M15 PDF BibTeX XML Cite \textit{A. M. Kulik} et al., Methodol. Comput. Appl. Probab. 22, No. 3, 1023--1061 (2020; Zbl 07297548) Full Text: DOI
Leonenko, N. N.; Papić, I.; Sikorskii, A.; Šuvak, N. Approximation of heavy-tailed fractional Pearson diffusions in Skorokhod topology. (English) Zbl 1451.60037 J. Math. Anal. Appl. 486, No. 2, Article ID 123934, 21 p. (2020). MSC: 60F17 60J60 60K50 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., J. Math. Anal. Appl. 486, No. 2, Article ID 123934, 21 p. (2020; Zbl 1451.60037) Full Text: DOI
Ivanov, A. V.; Leonenko, N. N.; Orlovskyi, I. V. On the Whittle estimator for linear random noise spectral density parameter in continuous-time nonlinear regression models. (English) Zbl 1436.62429 Stat. Inference Stoch. Process. 23, No. 1, 129-169 (2020). Reviewer: Oscar Bustos (Córdoba) MSC: 62M10 62M15 62J02 60G65 PDF BibTeX XML Cite \textit{A. V. Ivanov} et al., Stat. Inference Stoch. Process. 23, No. 1, 129--169 (2020; Zbl 1436.62429) Full Text: DOI
Leonenko, N. N.; Papić, I.; Sikorskii, A.; Šuvak, N. Ehrenfest-Brillouin-type correlated continuous time random walk and fractional Jacobi diffusion. (English) Zbl 1431.60041 Theory Probab. Math. Stat. 99, 137-147 (2019) and Teor. Jmovirn. Mat. Stat. 99, 123-133 (2018). MSC: 60G50 60J10 60J60 60G22 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Theory Probab. Math. Stat. 99, 137--147 (2019; Zbl 1431.60041) Full Text: DOI
Anh, V. V.; Leonenko, N. N. Fractional Stokes-Boussinesq-Langevin equation and Mittag-Leffler correlation decay. (English) Zbl 07096673 Theory Probab. Math. Stat. 98, 5-26 (2019) and Teor. Jmovirn. Mat. Stat. 98, 8-28 (2018). MSC: 60G10 82C31 PDF BibTeX XML Cite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Theory Probab. Math. Stat. 98, 5--26 (2019; Zbl 07096673) Full Text: DOI
Leonenko, N. N.; Ruiz-Medina, M. D. Increasing domain asymptotics for the first Minkowski functional of spherical random fields. (English) Zbl 1409.60085 Theory Probab. Math. Stat. 97, 127-149 (2018); and Teor. Jmovirn. Mat. Stat. 97, 120-141 (2017). MSC: 60G60 60F05 60G10 62E20 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. D. Ruiz-Medina}, Theory Probab. Math. Stat. 97, 127--149 (2018; Zbl 1409.60085) Full Text: DOI
Leonenko, N. N.; Papić, I.; Sikorskii, A.; Šuvak, Nenad Correlated continuous time random walks and fractional Pearson diffusions. (English) Zbl 1407.60063 Bernoulli 24, No. 4B, 3603-3627 (2018). MSC: 60G50 60F17 60J60 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Bernoulli 24, No. 4B, 3603--3627 (2018; Zbl 1407.60063) Full Text: DOI Euclid
Anh, V. V.; Leonenko, N. N.; Sikorskii, A. Stochastic representation of fractional Bessel-Riesz motion. (English) Zbl 1374.35415 Chaos Solitons Fractals 102, 135-139 (2017). MSC: 35R11 35R60 60H15 60G51 PDF BibTeX XML Cite \textit{V. V. Anh} et al., Chaos Solitons Fractals 102, 135--139 (2017; Zbl 1374.35415) Full Text: DOI
Leonenko, N. N.; Papić, I.; Sikorskii, A.; Šuvak, N. Heavy-tailed fractional Pearson diffusions. (English) Zbl 1373.33007 Stochastic Processes Appl. 127, No. 11, 3512-3535 (2017). MSC: 33C05 33C47 35P10 60G22 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Stochastic Processes Appl. 127, No. 11, 3512--3535 (2017; Zbl 1373.33007) Full Text: DOI
Castelli, F.; Leonenko, N. N.; Shchestyuk, N. Student-like models for risky asset with dependence. (English) Zbl 1364.60072 Stochastic Anal. Appl. 35, No. 3, 452-464 (2017). MSC: 60H10 60J60 60J65 91G80 60J25 60F05 60G10 60H30 PDF BibTeX XML Cite \textit{F. Castelli} et al., Stochastic Anal. Appl. 35, No. 3, 452--464 (2017; Zbl 1364.60072) Full Text: DOI
Leonenko, N. N.; Ruiz-Medina, M. D.; Taqqu, M. S. Rosenblatt distribution subordinated to Gaussian random fields with long-range dependence. (English) Zbl 1359.60066 Stochastic Anal. Appl. 35, No. 1, 144-177 (2017). MSC: 60G60 60G15 60F99 60E07 60E10 60H05 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Stochastic Anal. Appl. 35, No. 1, 144--177 (2017; Zbl 1359.60066) Full Text: DOI arXiv
Denisov, D. E.; Leonenko, N. N. Multifractal scenarios for products of geometric Lévy-based stationary models. (English) Zbl 1342.60075 Stochastic Anal. Appl. 34, No. 4, 610-643 (2016). MSC: 60G57 60G10 60G17 PDF BibTeX XML Cite \textit{D. E. Denisov} and \textit{N. N. Leonenko}, Stochastic Anal. Appl. 34, No. 4, 610--643 (2016; Zbl 1342.60075) Full Text: DOI
Ivanov, A. V.; Leonenko, N. N.; Ruiz-Medina, M. D.; Zhurakovsky, B. M. Estimation of harmonic component in regression with cyclically dependent errors. (English) Zbl 1396.62162 Statistics 49, No. 1, 156-186 (2015). MSC: 62J02 62F12 60G18 62E20 PDF BibTeX XML Cite \textit{A. V. Ivanov} et al., Statistics 49, No. 1, 156--186 (2015; Zbl 1396.62162) Full Text: DOI arXiv
Kerss, A. D. J.; Leonenko, N. N.; Sikorskii, A. Risky asset models with tempered stable fractal activity time. (English) Zbl 1305.60039 Stochastic Anal. Appl. 32, No. 4, 642-663 (2014). Reviewer: Johannes Muhle-Karbe (Zürich) MSC: 60G99 60G22 60G51 60H30 PDF BibTeX XML Cite \textit{A. D. J. Kerss} et al., Stochastic Anal. Appl. 32, No. 4, 642--663 (2014; Zbl 1305.60039) Full Text: DOI
Leonenko, N.; Sakhno, L.; Šuvak, N. Parameter estimation for reciprocal gamma Ornstein-Uhlenbeck type processes. (English. Ukrainian original) Zbl 1300.60045 Theory Probab. Math. Stat. 86, 137-154 (2013); translation from Teor. Jmovirn. Mat. Stat. 86, 121-137 (2012). MSC: 60G10 60J60 62M05 62M15 PDF BibTeX XML Cite \textit{N. Leonenko} et al., Theory Probab. Math. Stat. 86, 137--154 (2013; Zbl 1300.60045); translation from Teor. Jmovirn. Mat. Stat. 86, 121--137 (2012) Full Text: DOI
Avram, F.; Leonenko, N. N.; Šuvak, N. Spectral representation of transition density of Fisher-Snedecor diffusion. (English) Zbl 1291.60161 Stochastics 85, No. 2, 346-369 (2013). Reviewer: Vivek S. Borkar (Mumbai) MSC: 60J60 60H10 PDF BibTeX XML Cite \textit{F. Avram} et al., Stochastics 85, No. 2, 346--369 (2013; Zbl 1291.60161) Full Text: DOI
Kulik, A. M.; Leonenko, N. N. Ergodicity and mixing bounds for the Fisher-Snedecor diffusion. (English) Zbl 1296.60215 Bernoulli 19, No. 5B, 2294-2329 (2013). Reviewer: Nicolas Privault (Singapore) MSC: 60J60 60F05 60F17 62M05 PDF BibTeX XML Cite \textit{A. M. Kulik} and \textit{N. N. Leonenko}, Bernoulli 19, No. 5B, 2294--2329 (2013; Zbl 1296.60215) Full Text: DOI arXiv
Avram, F.; Leonenko, N. N.; Šuvak, N. On spectral analysis of heavy-tailed Kolmogorov-Pearson diffusions. (English) Zbl 1306.60110 Markov Process. Relat. Fields 19, No. 2, 249-298 (2013). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J60 60J25 60G10 62M15 33C47 PDF BibTeX XML Cite \textit{F. Avram} et al., Markov Process. Relat. Fields 19, No. 2, 249--298 (2013; Zbl 1306.60110)
Anh, V. V.; Leonenko, N. N.; Ruiz-Medina, M. D. Macroscaling limit theorems for filtered spatiotemporal random fields. (English) Zbl 1327.62095 Stochastic Anal. Appl. 31, No. 3, 460-508 (2013). MSC: 62F05 60G10 60G20 60G15 62J02 PDF BibTeX XML Cite \textit{V. V. Anh} et al., Stochastic Anal. Appl. 31, No. 3, 460--508 (2013; Zbl 1327.62095) Full Text: DOI
Avram, F.; Leonenko, N. N.; Šuvak, N. Hypothesis testing for Fisher-Snedecor diffusion. (English) Zbl 1244.62118 J. Stat. Plann. Inference 142, No. 8, 2308-2321 (2012). MSC: 62M02 62M15 PDF BibTeX XML Cite \textit{F. Avram} et al., J. Stat. Plann. Inference 142, No. 8, 2308--2321 (2012; Zbl 1244.62118) Full Text: DOI
Leonenko, N. N.; Petherick, S.; Sikorskii, A. Fractal activity time models for risky asset with dependence and generalized hyperbolic distributions. (English) Zbl 1251.91062 Stochastic Anal. Appl. 30, No. 3, 476-492 (2012). Reviewer: Rudolf Gorenflo (Berlin) MSC: 91G20 60G18 60G10 62M10 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Stochastic Anal. Appl. 30, No. 3, 476--492 (2012; Zbl 1251.91062) Full Text: DOI
Leonenko, N.; Sakhno, L. On spectral representations of tensor random fields on the sphere. (English) Zbl 1239.60038 Stochastic Anal. Appl. 30, No. 1, 44-66 (2012). Reviewer: Utkir Rozikov (Tashkent) MSC: 60G60 60B15 62M15 PDF BibTeX XML Cite \textit{N. Leonenko} and \textit{L. Sakhno}, Stochastic Anal. Appl. 30, No. 1, 44--66 (2012; Zbl 1239.60038) Full Text: DOI
Leonenko, N. N.; Petherick, S.; Sikorskii, A. A normal inverse Gaussian model for a risky asset with dependence. (English) Zbl 1236.91135 Stat. Probab. Lett. 82, No. 1, 109-115 (2012). Reviewer: Hanspeter Schmidli (Köln) MSC: 91G20 60G18 60G10 62M10 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Stat. Probab. Lett. 82, No. 1, 109--115 (2012; Zbl 1236.91135) Full Text: DOI
Avram, F.; Leonenko, N. N.; Šuvak, N. Parameter estimation for Fisher-Snedecor diffusion. (English) Zbl 1283.60066 Statistics 45, No. 1, 27-42 (2011). MSC: 60G10 60J60 62M05 62M15 PDF BibTeX XML Cite \textit{F. Avram} et al., Statistics 45, No. 1, 27--42 (2011; Zbl 1283.60066) Full Text: DOI
Leonenko, N. N.; Petherick, S.; Sikorskii, A. The Student subordinator model with dependence for risky asset returns. (English) Zbl 1277.62212 Commun. Stat., Theory Methods 40, No. 19-20, 3509-3523 (2011). MSC: 62M10 60F05 60G10 60G22 62P05 60G15 60H10 60J65 91B25 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Commun. Stat., Theory Methods 40, No. 19--20, 3509--3523 (2011; Zbl 1277.62212) Full Text: DOI
Leonenko, N. N. Plenary lecture 4: Statistical inference for Shannon and Renyi information. (English) Zbl 1335.62010 Mastorakis, Nikos (ed.) et al., Recent researches in applied mathematics. 15th WSEAS international conference on applied mathematics (MATH ’10), Vouliagmeni, Athens, Greece, December 29–31, 2010. Athens: WSEAS Press (ISBN 978-960-474-263-9/hbk; 978-960-474-266-0/cd-rom). Recent Researches Applied Mathematics, 16 (2010). MSC: 62B10 94A17 PDF BibTeX XML Cite \textit{N. N. Leonenko}, in: Recent researches in applied mathematics. 15th WSEAS international conference on applied mathematics (MATH '10), Vouliagmeni, Athens, Greece, December 29--31, 2010. Athens: WSEAS Press. 16 (2010; Zbl 1335.62010)
Leonenko, N. N.; Šuvak, N. Statistical inference for Student diffusion process. (English) Zbl 1233.62150 Stochastic Anal. Appl. 28, No. 6, 972-1002 (2010). MSC: 62M05 62M15 60J60 62M02 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{N. Šuvak}, Stochastic Anal. Appl. 28, No. 6, 972--1002 (2010; Zbl 1233.62150) Full Text: DOI
Leonenko, N. N.; Ruiz-Medina, M. D. Spatial scalings for randomly initialized heat and Burgers equations with quadratic potentials. (English) Zbl 1202.60073 Stochastic Anal. Appl. 28, No. 2, 303-321 (2010). Reviewer: Alexander V. Bulinski (Moskva) MSC: 60G60 60G15 62M15 60H15 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. D. Ruiz-Medina}, Stochastic Anal. Appl. 28, No. 2, 303--321 (2010; Zbl 1202.60073) Full Text: DOI
Leonenko, N. N.; Šuvak, N. Statistical inference for reciprocal gamma diffusion process. (English) Zbl 1177.62101 J. Stat. Plann. Inference 140, No. 1, 30-51 (2010). MSC: 62M05 62M15 62F12 60J60 62M10 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{N. Šuvak}, J. Stat. Plann. Inference 140, No. 1, 30--51 (2010; Zbl 1177.62101) Full Text: DOI
Ahn, V. V.; Leonenko, N. N.; Sakhno, L. M. Evaluation of bias in higher-order spectral estimation. (English) Zbl 1224.62077 Teor. Jmovirn. Mat. Stat. 80, 1-14 (2009) and Theory Probab. Math. Stat. 80, 1-14 (2010). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 62M15 62M40 62M30 42A38 65C60 PDF BibTeX XML Cite \textit{V. V. Ahn} et al., Teor. Ĭmovirn. Mat. Stat. 80, 1--14 (2009; Zbl 1224.62077) Full Text: DOI
Ivanov, A.; Leonenko, N. Robust estimators in nonlinear regression models with long-range dependence. (English) Zbl 1192.62041 Pronzato, Luc (ed.) et al., Optimal design and related areas in optimization and statistics. Dedicated to Henry P. Wynn on the occasion of his sixtieth birthday. New York, NY: Springer (ISBN 978-0-387-79935-3/hbk). Springer Optimization and Its Applications 28, 193-221 (2009). MSC: 62E20 62J02 62M10 60F05 62F12 62F35 PDF BibTeX XML Cite \textit{A. Ivanov} and \textit{N. Leonenko}, Springer Optim. Appl. 28, 193--221 (2009; Zbl 1192.62041) Full Text: DOI
Leonenko, N. N.; Ruiz-Medina, M. D. Gaussian scenario for the heat equation with quadratic potential and weakly dependent data with applications. (English) Zbl 1293.60057 Methodol. Comput. Appl. Probab. 10, No. 4, 595-620 (2008). MSC: 60G60 60G15 62M15 60H15 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. D. Ruiz-Medina}, Methodol. Comput. Appl. Probab. 10, No. 4, 595--620 (2008; Zbl 1293.60057) Full Text: DOI
Angulo, J. M.; Kelbert, M. Ya.; Leonenko, N. N.; Ruiz-Medina, M. D. Spatiotemporal random fields associated with stochastic fractional Helmholtz and heat equations. (English) Zbl 1177.60052 Stoch. Environ. Res. Risk Assess. 22, Suppl.1, 3-13 (2008). MSC: 60G60 60H15 35R60 62F10 62M15 PDF BibTeX XML Cite \textit{J. M. Angulo} et al., Stoch. Environ. Res. Risk Assess. 22, 3--13 (2008; Zbl 1177.60052) Full Text: DOI
Bakeerathan, G.; Leonenko, N. N. Linnik processes. (English) Zbl 1199.60111 Random Oper. Stoch. Equ. 16, No. 2, 109-130 (2008). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 60G10 60G35 62M10 PDF BibTeX XML Cite \textit{G. Bakeerathan} and \textit{N. N. Leonenko}, Random Oper. Stoch. Equ. 16, No. 2, 109--130 (2008; Zbl 1199.60111) Full Text: DOI
Anh, V. V.; Leonenko, N. N. Log-normal, log-gamma and log-negative inverted gamma scenarios in multifractal products of stochastic processes. (English) Zbl 1157.60033 Stat. Probab. Lett. 78, No. 11, 1274-1282 (2008). Reviewer: Victoria Knopova (Kiev) MSC: 60G18 60E07 PDF BibTeX XML Cite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Stat. Probab. Lett. 78, No. 11, 1274--1282 (2008; Zbl 1157.60033) Full Text: DOI
Ivanov, A. V.; Leonenko, N. N. Semiparametric analysis of long-range dependence in nonlinear regression. (English) Zbl 1138.62310 J. Stat. Plann. Inference 138, No. 6, 1733-1753 (2008). MSC: 62E20 62J02 62M09 62F10 PDF BibTeX XML Cite \textit{A. V. Ivanov} and \textit{N. N. Leonenko}, J. Stat. Plann. Inference 138, No. 6, 1733--1753 (2008; Zbl 1138.62310) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. Statistical inference using higher-order information. (English) Zbl 1146.62067 J. Multivariate Anal. 98, No. 4, 706-742 (2007). MSC: 62M15 62G20 62M09 PDF BibTeX XML Cite \textit{V. V. Anh} et al., J. Multivariate Anal. 98, No. 4, 706--742 (2007; Zbl 1146.62067) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. Minimum contrast estimation of random processes based on information of second and third orders. (English) Zbl 1107.62082 J. Stat. Plann. Inference 137, No. 4, 1302-1331 (2007). MSC: 62M09 62M15 62G20 PDF BibTeX XML Cite \textit{V. V. Anh} et al., J. Stat. Plann. Inference 137, No. 4, 1302--1331 (2007; Zbl 1107.62082) Full Text: DOI
Leonenko, N. N.; Ruiz-Medina, M. D. Strongly dependent Gaussian scenarios for the Burgers turbulence problem with quadratic external potential. (English) Zbl 1115.60055 Random Oper. Stoch. Equ. 14, No. 3, 259-274 (2006). MSC: 60G60 60G15 62M15 60H15 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. D. Ruiz-Medina}, Random Oper. Stoch. Equ. 14, No. 3, 259--274 (2006; Zbl 1115.60055) Full Text: DOI
Leonenko, N. N.; Ruiz-Medina, M. D. Scaling laws for the multidimensional Burgers equation with quadratic external potential. (English) Zbl 1146.80003 J. Stat. Phys. 124, No. 1, 191-205 (2006). Reviewer: Alain Brillard (Riedisheim) MSC: 80A20 60G60 35Q53 60G15 60H15 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. D. Ruiz-Medina}, J. Stat. Phys. 124, No. 1, 191--205 (2006; Zbl 1146.80003) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. Spectral properties of Burgers and KPZ turbulence. (English) Zbl 1101.82023 J. Stat. Phys. 122, No. 5, 949-974 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C24 35Q53 35R60 76F55 60H15 49L25 PDF BibTeX XML Cite \textit{V. V. Anh} et al., J. Stat. Phys. 122, No. 5, 949--974 (2006; Zbl 1101.82023) Full Text: DOI
Leonenko, N. N.; Sakhno, L. M. On the Whittle estimators for some classes of continuous-parameter random processes and fields. (English) Zbl 1089.62101 Stat. Probab. Lett. 76, No. 8, 781-795 (2006). MSC: 62M09 62M40 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{L. M. Sakhno}, Stat. Probab. Lett. 76, No. 8, 781--795 (2006; Zbl 1089.62101) Full Text: DOI
Barndorff-Nielsen, O. E.; Leonenko, N. N. Spectral properties of superpositions of Ornstein-Uhlenbeck type processes. (English) Zbl 1089.60014 Methodol. Comput. Appl. Probab. 7, No. 3, 335-352 (2005). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60E07 60G10 60G18 62M10 PDF BibTeX XML Cite \textit{O. E. Barndorff-Nielsen} and \textit{N. N. Leonenko}, Methodol. Comput. Appl. Probab. 7, No. 3, 335--352 (2005; Zbl 1089.60014) Full Text: DOI
Barndorff-Nielsen, O. E.; Leonenko, N. N. Burgers’ turbulence problem with linear or quadratic external potential. (English) Zbl 1082.60056 J. Appl. Probab. 42, No. 2, 550-565 (2005). Reviewer: George Stoica (Saint John) MSC: 60H15 60G60 PDF BibTeX XML Cite \textit{O. E. Barndorff-Nielsen} and \textit{N. N. Leonenko}, J. Appl. Probab. 42, No. 2, 550--565 (2005; Zbl 1082.60056) Full Text: DOI
Heyde, C. C.; Leonenko, N. N. Student processes. (English) Zbl 1081.60035 Adv. Appl. Probab. 37, No. 2, 342-365 (2005). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 60G99 60E07 60E10 60G18 60G10 60G35 62M10 PDF BibTeX XML Cite \textit{C. C. Heyde} and \textit{N. N. Leonenko}, Adv. Appl. Probab. 37, No. 2, 342--365 (2005; Zbl 1081.60035) Full Text: DOI
Goria, M. N.; Leonenko, N. N.; Mergel, V. V.; Novi Inverardi, P. L. A new class of random vector entropy estimators and its applications in testing statistical hypotheses. (English) Zbl 1061.62005 J. Nonparametric Stat. 17, No. 3, 277-297 (2005). MSC: 62B10 62G10 65C05 62F03 PDF BibTeX XML Cite \textit{M. N. Goria} et al., J. Nonparametric Stat. 17, No. 3, 277--297 (2005; Zbl 1061.62005) Full Text: DOI
Kelbert, M. Ya; Leonenko, N. N.; Ruiz-Medina, M. D. Fractional random fields associated with stochastic fractional heat equations. (English) Zbl 1102.60049 Adv. Appl. Probab. 37, No. 1, 108-133 (2005). MSC: 60G60 60G20 60H15 PDF BibTeX XML Cite \textit{M. Y. Kelbert} et al., Adv. Appl. Probab. 37, No. 1, 108--133 (2005; Zbl 1102.60049) Full Text: DOI
Ivanov, A. V.; Leonenko, N. N. Asymptotic theory of nonlinear regression with long-range dependence. (English) Zbl 1132.62338 Math. Methods Stat. 13, No. 2, 153-178 (2004). MSC: 62J02 62M10 62G20 62G08 62E20 PDF BibTeX XML Cite \textit{A. V. Ivanov} and \textit{N. N. Leonenko}, Math. Methods Stat. 13, No. 2, 153--178 (2004; Zbl 1132.62338)
Anh, V. V.; Knopova, V. P.; Leonenko, N. N. Continuous-time stochastic processes with cyclical long-range dependence. (English) Zbl 1080.60034 Aust. N. Z. J. Stat. 46, No. 2, 275-296 (2004). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G12 60G15 62M10 PDF BibTeX XML Cite \textit{V. V. Anh} et al., Aust. N. Z. J. Stat. 46, No. 2, 275--296 (2004; Zbl 1080.60034) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. Quasi-likelihood-based higher-order spectral estimation of random fields with possible long-range dependence. (English) Zbl 1049.62107 J. Appl. Probab. 41A, Spec. Iss., 35-53 (2004). MSC: 62M40 62M15 62M09 PDF BibTeX XML Cite \textit{V. V. Anh} et al., J. Appl. Probab. 41A, 35--53 (2004; Zbl 1049.62107) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. On a class of minimum contrast estimators for fractional stochastic processes and fields. (English) Zbl 1103.62092 J. Stat. Plann. Inference 123, No. 1, 161-185 (2004). MSC: 62M40 62F12 62M09 PDF BibTeX XML Cite \textit{V. V. Anh} et al., J. Stat. Plann. Inference 123, No. 1, 161--185 (2004; Zbl 1103.62092) Full Text: DOI
Leonenko, N. N.; Taufer, E. On the rate of convergence to the normal law of LSE in regression with long range dependence. (English) Zbl 1173.62320 Statistica 63, No. 1, 53-70 (2003). MSC: 62M10 62F12 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{E. Taufer}, Statistica 63, No. 1, 53--70 (2003; Zbl 1173.62320)
Anh, V. V.; Leonenko, N. N.; McVinish, R. On semilinear stochastic fractional differential equations of Volterra type. (English) Zbl 1051.60064 Random Oper. Stoch. Equ. 11, No. 2, 137-160 (2003). Reviewer: R. E. Maiboroda (Kyïv) MSC: 60H20 60J65 PDF BibTeX XML Cite \textit{V. V. Anh} et al., Random Oper. Stoch. Equ. 11, No. 2, 137--160 (2003; Zbl 1051.60064) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Moldavskaya, E. M.; Sakhno, L. M. Estimation of spectral densities with multiplicative parameter. (English) Zbl 1032.62088 Acta Appl. Math. 79, No. 1-2, 115-128 (2003). Reviewer: Jiří Anděl (Praha) MSC: 62M15 60G60 62M40 PDF BibTeX XML Cite \textit{V. V. Anh} et al., Acta Appl. Math. 79, No. 1--2, 115--128 (2003; Zbl 1032.62088) Full Text: DOI
Anh, V. V.; Leonenko, N. N. Harmonic analysis of random fractional diffusion-wave equations. (English) Zbl 1053.60064 Appl. Math. Comput. 141, No. 1, 77-85 (2003). Reviewer: Ismail Taqi Ali (Safat) MSC: 60H15 35C15 26A33 35R10 PDF BibTeX XML Cite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Appl. Math. Comput. 141, No. 1, 77--85 (2003; Zbl 1053.60064) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Sakhno, L. M. Higher-order spectral densities of fractional random fields. (English) Zbl 1019.60046 J. Stat. Phys. 111, No. 3-4, 789-814 (2003). Reviewer: Rudolf Gorenflo (Berlin) MSC: 60G60 26A33 60H30 33E12 60J60 45K05 PDF BibTeX XML Cite \textit{V. V. Anh} et al., J. Stat. Phys. 111, No. 3--4, 789--814 (2003; Zbl 1019.60046) Full Text: DOI
Anh, V. V.; Heyde, C. C.; Leonenko, N. N. Dynamic models of long-memory processes driven by Lévy noise. (English) Zbl 1016.60039 J. Appl. Probab. 39, No. 4, 730-747 (2002). Reviewer: Jiří Anděl (Praha) MSC: 60G10 PDF BibTeX XML Cite \textit{V. V. Anh} et al., J. Appl. Probab. 39, No. 4, 730--747 (2002; Zbl 1016.60039) Full Text: DOI
Anh, V. V.; Leonenko, N. N. Renormalization and homogenization of fractional diffusion equations with random data. (English) Zbl 1031.60043 Probab. Theory Relat. Fields 124, No. 3, 381-408 (2002). MSC: 60G60 62M15 62M40 60H05 PDF BibTeX XML Cite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Probab. Theory Relat. Fields 124, No. 3, 381--408 (2002; Zbl 1031.60043) Full Text: DOI
Knopova, V. P.; Leonenko, N. N. Limit behaviour of rescaled solutions to the Airy equation with random strongly dependent initial conditions. (English) Zbl 1009.60051 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 9, 47-50 (2002). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60H15 35R60 PDF BibTeX XML Cite \textit{V. P. Knopova} and \textit{N. N. Leonenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 9, 47--50 (2002; Zbl 1009.60051)
Anh, V. V.; Leonenko, N. N.; Melnikova, O. O. Scaling laws for fractional Volterra equations with chi-square random data. (English) Zbl 1016.60060 Math. Commun. 7, No. 2, 159-175 (2002). Reviewer: B.L.S.Prakasa Rao (New Delhi) MSC: 60G60 62M40 62M15 PDF BibTeX XML Cite \textit{V. V. Anh} et al., Math. Commun. 7, No. 2, 159--175 (2002; Zbl 1016.60060)
Anh, V. V.; Leonenko, N. N. Spectral theory of renormalized fractional random fields. (English) Zbl 1029.60040 Theory Probab. Math. Stat. 66, 1-13 (2003) and Teor. Jmovirn. Mat. Stat. 66, 3-14 (2002). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60G60 62M15 62M40 60H05 PDF BibTeX XML Cite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Teor. Ĭmovirn. Mat. Stat. 66, 3--14 (2002; Zbl 1029.60040)
Leonenko, N. N.; Sakhno, L.; Taufer, E. Product-limit estimator for long- and short-range dependent sequences under gamma type subordination. (English) Zbl 1010.62092 Random Oper. Stoch. Equ. 10, No. 4, 301-320 (2002). MSC: 62N02 62G20 62N01 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Random Oper. Stoch. Equ. 10, No. 4, 301--320 (2002; Zbl 1010.62092) Full Text: DOI
Ivanov, A. V.; Leonenko, N. N. Asymptotic behavior of \(M\)-estimators in continuous time non-linear regression with long-range dependent errors. (Ukrainian) Zbl 1010.62022 Random Oper. Stoch. Equ. 10, No. 3, 201-222 (2002). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62F12 62M10 62J02 PDF BibTeX XML Cite \textit{A. V. Ivanov} and \textit{N. N. Leonenko}, Random Oper. Stoch. Equ. 10, No. 3, 201--222 (2002; Zbl 1010.62022) Full Text: DOI
Leonenko, N. N.; Moldavskaya, E. M. Non-Gaussian scenarios in long-memory regression models with non-linear constraints. (English) Zbl 1004.62503 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 2, 44-46 (2002). MSC: 62J05 62F30 62F10 62E20 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{E. M. Moldavskaya}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 2, 44--46 (2002; Zbl 1004.62503)
Leonenko, N. N.; Taufer, Emanuele Asymptotic properties of LSE in multivariate continuous regression with long memory stationary errors. (English) Zbl 0996.62082 Metron 59, No. 1-2, 55-72 (2001). MSC: 62M10 62F12 60G15 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{E. Taufer}, Metron 59, No. 1--2, 55--72 (2001; Zbl 0996.62082)
Anh, V. V.; Leonenko, N. N. Spectral analysis of fractional kinetic equations with random data. (English) Zbl 1034.82044 J. Stat. Phys. 104, No. 5-6, 1349-1387 (2001). MSC: 82C40 60G60 60H30 PDF BibTeX XML Cite \textit{V. V. Anh} and \textit{N. N. Leonenko}, J. Stat. Phys. 104, No. 5--6, 1349--1387 (2001; Zbl 1034.82044) Full Text: DOI
Anh, V. V.; Leonenko, N. N.; Sharapov, M. M. Least squares estimation of regression coefficients of singular random fields observed on a sphere. (English) Zbl 0986.60040 Math. Commun. 6, No. 1, 57-72 (2001). Reviewer: A.S.Holevo (Moskva) MSC: 60G60 62M10 PDF BibTeX XML Cite \textit{V. V. Anh} et al., Math. Commun. 6, No. 1, 57--72 (2001; Zbl 0986.60040)
Leonenko, N. N.; Anh, V. V. Rate of convergence to the Rosenblatt distribution for additive functionals of stochastic processes with long-range dependence. (English) Zbl 0983.60009 J. Appl. Math. Stochastic Anal. 14, No. 1, 27-46 (2001). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60F05 60G05 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{V. V. Anh}, J. Appl. Math. Stochastic Anal. 14, No. 1, 27--46 (2001; Zbl 0983.60009) Full Text: DOI EuDML
Ivanov, O. V.; Leonenko, M. M. Asymptotic inference for a nonlinear regression with a long-range dependence. (English. Ukrainian original) Zbl 0988.62015 Theory Probab. Math. Stat. 63, 65-85 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 61-79 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 62F12 62J02 62M10 62E20 PDF BibTeX XML Cite \textit{O. V. Ivanov} and \textit{M. M. Leonenko}, Teor. Ĭmovirn. Mat. Stat. 63, 61--79 (2000; Zbl 0988.62015); translation from Teor. Jmovirn. Mat. Stat. 63, 61--79 (2000)
Leonenko, N. N.; Mel’nikova, O. O. Renormalization and homogenization of solutions of the inhomogeneous heat equation with a linear potential and of the related Burgers equation with random data. (English. Ukrainian original) Zbl 1004.60017 Theory Probab. Math. Stat. 62, 77-88 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 72-82 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F05 70L05 35Q53 60G15 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{O. O. Mel'nikova}, Teor. Ĭmovirn. Mat. Stat. 62, 72--82 (2000; Zbl 1004.60017); translation from Teor. Jmovirn. Mat. Stat. 62, 72--82 (2000)
Anh, V. V.; Leonenko, N. N. Scaling laws for fractional diffusion-wave equations with singular data. (English) Zbl 0970.35174 Stat. Probab. Lett. 48, No. 3, 239-252 (2000). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 35R60 62M40 60G60 PDF BibTeX XML Cite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Stat. Probab. Lett. 48, No. 3, 239--252 (2000; Zbl 0970.35174) Full Text: DOI
Ahn, V. V.; Leonenko, N. N. Non-Gaussian scenarios for the heat equation with singular initial conditions. (English) Zbl 1001.60071 Stochastic Processes Appl. 84, No. 1, 91-114 (1999). Reviewer: Bohdan Maslowski (Praha) MSC: 60H15 PDF BibTeX XML Cite \textit{V. V. Ahn} and \textit{N. N. Leonenko}, Stochastic Processes Appl. 84, No. 1, 91--114 (1999; Zbl 1001.60071) Full Text: DOI
Leonenko, N. Limit theorems for random fields with singular spectrum. (English) Zbl 0963.60048 Mathematics and its Applications (Dordrecht). 465. Dordrecht: Kluwer Academic Publishers. viii, 401 p. (1999). Reviewer: M.I.Yadrenko (Kyïv) MSC: 60G60 60-02 60G15 60G12 62M40 62J02 PDF BibTeX XML Cite \textit{N. Leonenko}, Limit theorems for random fields with singular spectrum. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0963.60048)
Leonenko, N. N.; Moldavs’ka, E. M. Minimal contrast estimators of a parameter of the spectral density of continuous time random fields. (English. Russian original) Zbl 0959.62083 Theory Probab. Math. Stat. 58, 101-112 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 92-103 (1998). MSC: 62M40 62F12 62M10 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{E. M. Moldavs'ka}, Theory Probab. Math. Stat. 58, 1 (1998; Zbl 0959.62083); translation from Teor. Jmovirn. Mat. Stat. 58, 92--103 (1998)
Leonenko, N. N.; Sharapov, M. M. Reduction theorems and their application to statistical estimation of regression coefficients in long-memory time series. (English) Zbl 0953.62097 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 6, 32-36 (1998). MSC: 62M10 62E20 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. M. Sharapov}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 6, 32--36 (1998; Zbl 0953.62097)
Leonenko, N. N.; Woyczynski, W. A. Exact parabolic asymptotics for singular \(n\)-D Burgers’ random fields: Gaussian approximation. (English) Zbl 0928.35214 Stochastic Processes Appl. 76, No. 2, 141-165 (1998). Reviewer: Jan Seidler (Praha) MSC: 35R60 35Q53 60F99 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{W. A. Woyczynski}, Stochastic Processes Appl. 76, No. 2, 141--165 (1998; Zbl 0928.35214) Full Text: DOI
Leonenko, N. N.; Benšić, M. On estimation of regression coefficients of long memory random fields observed on the arrays. (English) Zbl 0921.62124 Random Oper. Stoch. Equ. 6, No. 1, 61-76 (1998). Reviewer: O.O.Kurchenko (Kyïv) MSC: 62M40 62M10 62E20 62J05 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. Benšić}, Random Oper. Stoch. Equ. 6, No. 1, 61--76 (1998; Zbl 0921.62124) Full Text: DOI
Leonenko, N. N.; Šilac-Benšić, M. On the asymptotic distributions of least square estimations in a regression model with singular errors. (English) Zbl 0953.62096 Dopov. Akad. Nauk Ukr. 1997, No. 7, 26-31 (1997). MSC: 62M10 62E20 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. Šilac-Benšić}, Dopov. Akad. Nauk Ukr. 1997, No. 7, 26--31 (1997; Zbl 0953.62096)
Deriev, I.; Leonenko, N. Limit Gaussian behavior of the solutions of the multidimensional Burger’s equation with weak-dependent initial conditions. (English) Zbl 1002.60532 Acta Appl. Math. 47, No. 1, 1-18 (1997). MSC: 60G15 60G60 35Q53 60H15 76D99 76M35 PDF BibTeX XML Cite \textit{I. Deriev} and \textit{N. Leonenko}, Acta Appl. Math. 47, No. 1, 1--18 (1997; Zbl 1002.60532) Full Text: DOI
Leonenko, N. N.; Orsingher, E.; Parkhomenko, V. N. Errata: “On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data”. (English) Zbl 1081.60533 J. Stat. Phys. 84, No. 5-6, 1389-1391 (1996). MSC: 60H15 76M35 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., J. Stat. Phys. 84, No. 5--6, 1389--1391 (1996; Zbl 1081.60533) Full Text: DOI
Leonenko, N. N.; Šilac-Benšić, M. On estimation of regression coefficients in the case of long-memory noise. (English) Zbl 0936.62100 Theory Stoch. Process. 2(18), No. 3-4, 108-119 (1996). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 62M10 62M09 60G10 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. Šilac-Benšić}, Theory Stoch. Process. 2(18), No. 3--4, 108--119 (1996; Zbl 0936.62100)
Leonenko, N. N.; Yadrenko, M. I.; Il’icheva, L. M. Efficient estimation of regression coefficients of a homogeneous isotropic random field observed on the sphere. (English) Zbl 0892.62073 Dopov. Akad. Nauk Ukr. 1996, No. 3, 21-25 (1996). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62M40 60G60 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Dopov. Akad. Nauk Ukr. 1996, No. 3, 21--25 (1996; Zbl 0892.62073)
Leonenko, N. N.; Parkhomenko, V. N.; Woyczynski, W. A. Spectral properties of the scaling limit solutions of the Burgers’ equation with singular data. (English) Zbl 0866.35147 Random Oper. Stoch. Equ. 4, No. 3, 229-238 (1996). Reviewer: S.Wedrychowicz (Rzeszów) MSC: 35R60 35Q53 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Random Oper. Stoch. Equ. 4, No. 3, 229--238 (1996; Zbl 0866.35147) Full Text: DOI
Leonenko, N. N.; Šilac-Benšić, M. Asymptotic properties of the LSE in a regression model with long-memory Gaussian and non-Gaussian stationary errors. (English) Zbl 0849.62049 Random Oper. Stoch. Equ. 4, No. 1, 17-32 (1996). MSC: 62M10 62F12 62M09 62E20 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. Šilac-Benšić}, Random Oper. Stoch. Equ. 4, No. 1, 17--32 (1996; Zbl 0849.62049) Full Text: DOI
Leonenko, N. N.; Yadrenko, M. I.; Il’icheva, L. M. On the efficiency of the least squares estimator of regression coefficients of a random field observed on a sphere. (English) Zbl 0954.62113 Skorokhod, A. V. (ed.) et al., Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 257-262 (1995). MSC: 62M40 60G60 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., in: Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 257--262 (1995; Zbl 0954.62113)
Leonenko, N. N.; Li, Zhanbing; Rybasov, K. V. Non-Gaussian limit distributions of solutions of the multi-dimensional Burger equation with random initial data. (English. Ukrainian original) Zbl 0941.60065 Ukr. Math. J. 47, No. 3, 385-392 (1995); translation from Ukr. Mat. Zh. 47, No. 3, 330-336 (1995). Reviewer: A.Ya.Olenko (Kyïv) MSC: 60G60 60G15 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Ukr. Mat. Zh. 47, No. 3, 330--336 (1995; Zbl 0941.60065); translation from Ukr. Mat. Zh. 47, No. 3, 330--336 (1995) Full Text: DOI
Leonenko, N. N.; Parkhomenko, V. V. Asymptotic properties of solutions of the Cauchy problem for the Burgers’ equation with random initial conditions. (English. Ukrainian original) Zbl 0941.60044 Theory Probab. Math. Stat. 53, 89-95 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 80-86 (1995). Reviewer: A.Ya.Olenko (Kyïv) MSC: 60F05 70L05 35Q53 60G15 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{V. V. Parkhomenko}, Teor. Ĭmovirn. Mat. Stat. 53, 80--86 (1995; Zbl 0941.60044); translation from Teor. Jmovirn. Mat. Stat. 53, 80--86 (1995)
Illicheva, L. M.; Leonenko, N. N. An estimator of a linear regression coefficient of strongly dependent random fields. (English) Zbl 0926.62091 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25–October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 77-87 (1995). Reviewer: A.Ya.Olenko (Kyïv) MSC: 62M40 62M10 62J05 PDF BibTeX XML Cite \textit{L. M. Illicheva} and \textit{N. N. Leonenko}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 77--87 (1995; Zbl 0926.62091)
Leonenko, N.; Orsingher, E. Limit theorems for solutions of the Burgers equation with Gaussian and non-Gaussian initial conditions. (English) Zbl 0853.35139 Theory Probab. Appl. 40, No. 2, 294-308 (1995) and Teor. Veroyatn. Primen. 40, No. 2, 387-403 (1995). Reviewer: E.D.Belokolos (Kiev) MSC: 35R60 35Q53 PDF BibTeX XML Cite \textit{N. Leonenko} and \textit{E. Orsingher}, Teor. Veroyatn. Primen. 40, No. 2, 387--403 (1995; Zbl 0853.35139)
Leonenko, N. N.; Orsingher, E.; Parkhomenko, V. N. Scaling limits of solutions of the Burgers equation with singular non- Gaussian data. (English) Zbl 0833.35157 Random Oper. Stoch. Equ. 3, No. 2, 101-112 (1995). MSC: 35R60 35Q53 82D30 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Random Oper. Stoch. Equ. 3, No. 2, 101--112 (1995; Zbl 0833.35157) Full Text: DOI
Leonenko, N. N.; Orsingher, E.; Rybasov, K. V. Limit distributions of the solutions of the multidimensional Burgers equation with random initial conditions. II. (Russian. English summary) Zbl 0837.60047 Ukr. Mat. Zh. 46, No. 8, 1003-1010 (1994). MSC: 60G60 35Q53 60F15 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Ukr. Mat. Zh. 46, No. 8, 1003--1010 (1994; Zbl 0837.60047) Full Text: DOI
Leonenko, N. N.; Derijev, I. I. Limit theorems for solutions of the multidimensional Burgers equation subject to weakly dependent random initial conditions. (English. Ukrainian original) Zbl 0937.35157 Theory Probab. Math. Stat. 51, 103-115 (1995); translation from Teor. Jmovirn. Mat. Stat. 51, 98-110 (1994). Reviewer: A.Ya.Olenko (Kyïv) MSC: 35Q53 35R60 35F05 60G60 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{I. I. Derijev}, Teor. Ĭmovirn. Mat. Stat. 51, 98--110 (1994; Zbl 0937.35157); translation from Teor. Jmovirn. Mat. Stat. 51, 98--110 (1994)
Leonenko, N. N.; Sabirov, Sh. O. Spherical level-crossing measures for chi-square random fields. (English. Russian original) Zbl 0835.60043 J. Math. Sci., New York 69, No. 6, 1463-1471 (1994); translation from Vychisl. Prikl. Mat., Kiev 68, 118-128 (1989). MSC: 60G60 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{Sh. O. Sabirov}, J. Math. Sci., New York 69, No. 6, 1463--1471 (1994; Zbl 0835.60043); translation from Vychisl. Prikl. Mat., Kiev 68, 118--128 (1989) Full Text: DOI
Leonenko, N. N.; Orsingher, E.; Rybasov, K. V. Limiting distributions of the solutions of the many-dimensional Burgers equation with random initial conditions. II. (English. Russian original) Zbl 0851.60045 Ukr. Math. J. 46, No. 8, 1101-1109 (1994); translation from Ukr. Mat. Zh. 46, No. 8, 1003-1010 (1994). MSC: 60G60 35Q53 60F15 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Ukr. Mat. Zh. 46, No. 8, 1003--1010 (1994; Zbl 0851.60045); translation from Ukr. Mat. Zh. 46, No. 8, 1003--1010 (1994) Full Text: DOI
Leonenko, N. N.; Orsingher, E.; Rybasov, K. V. Limiting distributions of the solutions of the multidimensional Burgers equation with random initial conditions. I. (English. Russian original) Zbl 0837.60046 Ukr. Math. J. 46, No. 7, 953-962 (1994); translation from Ukr. Mat. Zh. 46, No. 7, 870-877 (1994). MSC: 60G60 35Q53 60F15 PDF BibTeX XML Cite \textit{N. N. Leonenko} et al., Ukr. Mat. Zh. 46, No. 7, 870--877 (1994; Zbl 0837.60046); translation from Ukr. Mat. Zh. 46, No. 7, 870--877 (1994) Full Text: DOI
Kepich, A. Yu.; Leonenko, N. N. On the limit distribution of correlogram of random field with long-range dependence and unknown mean. (English) Zbl 0839.60029 Random Oper. Stoch. Equ. 2, No. 3, 203-210 (1994). MSC: 60F05 60H05 PDF BibTeX XML Cite \textit{A. Yu. Kepich} and \textit{N. N. Leonenko}, Random Oper. Stoch. Equ. 2, No. 3, 203--210 (1994; Zbl 0839.60029) Full Text: DOI
Leonenko, N. N.; Li, Zhanbing Non-Gaussian limit distributions for solutions of Burgers equation with strongly dependent random initial conditions. (English) Zbl 0818.60040 Random Oper. Stoch. Equ. 2, No. 1, 79-86 (1994). Reviewer: A.V.Bulinskij (Moskva) MSC: 60G60 60H15 60J70 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{Z. Li}, Random Oper. Stoch. Equ. 2, No. 1, 79--86 (1994; Zbl 0818.60040) Full Text: DOI
Leonenko, N. N.; Portnova, A. Yu. Convergence of the correlogram of a Gaussian field to a non-Gaussian distribution. (English. Ukrainian original) Zbl 0861.60059 Theory Probab. Math. Stat. 49, 97-102 (1994); translation from Teor. Jmovirn. Mat. Stat. 49, 137-144 (1993). MSC: 60G60 60G18 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{A. Yu. Portnova}, Theory Probab. Math. Stat. 49, 1 (1993; Zbl 0861.60059); translation from Teor. Jmovirn. Mat. Stat. 49, 137--144 (1993)
Leonenko, N. N.; Le Phe Do Time integrated least squares estimators of regression parameters of a process with independent increments. (English) Zbl 0833.62079 Random Oper. Stoch. Equ. 1, No. 3, 223-230 (1993). MSC: 62M05 62M10 62M09 60J99 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{Le Phe Do}, Random Oper. Stoch. Equ. 1, No. 3, 223--230 (1993; Zbl 0833.62079) Full Text: DOI
Leonenko, N. N.; Olenko, A. Ya. Tauberian theorems for correlation functions and limit theorems for spherical averages of random fields. (English) Zbl 0842.60049 Random Oper. Stoch. Equ. 1, No. 1, 57-67 (1993). MSC: 60G60 60F05 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{A. Ya. Olenko}, Random Oper. Stoch. Equ. 1, No. 1, 57--67 (1993; Zbl 0842.60049) Full Text: DOI