Ivanov, O. V.; Orlovs’kyĭ, I. V. Detection of hidden periodicities in models with discrete time and long range dependent random noise. (Ukrainian. English summary) Zbl 07744781 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2023, No. 1, 48-58 (2023). MSC: 62J02 62G20 PDFBibTeX XMLCite \textit{O. V. Ivanov} and \textit{I. V. Orlovs'kyĭ}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2023, No. 1, 48--58 (2023; Zbl 07744781) Full Text: DOI
Dykyi, Oleksandr; Ivanov, Alexander Consistency of LSE for the many-dimensional symmetric textured surface parameters. (English) Zbl 1517.62072 Mod. Stoch., Theory Appl. 10, No. 3, 267-285 (2023). MSC: 62J02 62F12 62J99 62M40 PDFBibTeX XMLCite \textit{O. Dykyi} and \textit{A. Ivanov}, Mod. Stoch., Theory Appl. 10, No. 3, 267--285 (2023; Zbl 1517.62072) 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 PDFBibTeX XMLCite \textit{A. V. Ivanov} et al., Stat. Inference Stoch. Process. 23, No. 1, 129--169 (2020; Zbl 1436.62429) Full Text: DOI arXiv
Ivanov, O. V.; Kaptur, N. V.; Savych, I. M. Consistency of Konker-Bassett estimators in linear regression model. (Ukrainian. English summary) Zbl 1438.62125 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 17-24 (2018). MSC: 62J05 62F12 62M10 60G10 PDFBibTeX XMLCite \textit{O. V. Ivanov} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 17--24 (2018; Zbl 1438.62125)
Ivanov, A. V.; Malyar, O. V. Consistency of the least squares estimators of parameters in the texture surface sinusoidal model. (English. Ukrainian original) Zbl 1412.62126 Theory Probab. Math. Stat. 97, 73-84 (2018); translation from Teor. Jmovirn. Mat. Stat. 97, 72-82 (2017). MSC: 62M40 62J02 62F12 PDFBibTeX XMLCite \textit{A. V. Ivanov} and \textit{O. V. Malyar}, Theory Probab. Math. Stat. 97, 73--84 (2018; Zbl 1412.62126); translation from Teor. Jmovirn. Mat. Stat. 97, 72--82 (2017) Full Text: DOI
Ivanov, O. V.; Orlovs’kyi, I. V. Asymptotic properties of the \(M\)-estimates of parameters in a nonlinear regression model with discrete time and singular spectrum. (English. Ukrainian original) Zbl 1499.62217 Ukr. Math. J. 69, No. 1, 32-61 (2017); translation from Ukr. Mat. Zh. 69, No. 1, 28-51 (2017). MSC: 62J02 62F12 PDFBibTeX XMLCite \textit{O. V. Ivanov} and \textit{I. V. Orlovs'kyi}, Ukr. Math. J. 69, No. 1, 32--61 (2017; Zbl 1499.62217); translation from Ukr. Mat. Zh. 69, No. 1, 28--51 (2017) Full Text: DOI
Ivanov, O. V.; Prykhod’ko, V. V. On the Whittle estimator of the parameter of spectral density of random noise in the nonlinear regression model. (English. Ukrainian original) Zbl 1490.62167 Ukr. Math. J. 67, No. 8, 1183-1203 (2016); translation from Ukr. Mat. Zh. 67, No. 8, 1050-1067 (2015). MSC: 62J02 62F12 62M15 PDFBibTeX XMLCite \textit{O. V. Ivanov} and \textit{V. V. Prykhod'ko}, Ukr. Math. J. 67, No. 8, 1183--1203 (2016; Zbl 1490.62167); translation from Ukr. Mat. Zh. 67, No. 8, 1050--1067 (2015) Full Text: DOI
Ivanov, A. V.; Prikhod’ko, V. V. Asymptotic properties of Ibragimov’s estimator for a parameter of the spectral density of the random noise in a nonlinear regression model. (English. Ukrainian original) Zbl 1357.62231 Theory Probab. Math. Stat. 93, 51-70 (2016); translation from Teor. Jmovirn. Mat. Stat. 93, 50-66 (2015). MSC: 62J02 62F12 60G15 60G10 PDFBibTeX XMLCite \textit{A. V. Ivanov} and \textit{V. V. Prikhod'ko}, Theory Probab. Math. Stat. 93, 51--70 (2016; Zbl 1357.62231); translation from Teor. Jmovirn. Mat. Stat. 93, 50--66 (2015) Full Text: DOI
Ivanov, A. V.; Orlovsky, I. V. Asymptotic properties of linear regression parameter estimator in the case of long-range dependent regressors and noise. (English) Zbl 1313.62090 Theory Stoch. Process. 19, No. 1, 1-10 (2014). MSC: 62J05 PDFBibTeX XMLCite \textit{A. V. Ivanov} and \textit{I. V. Orlovsky}, Theory Stoch. Process. 19, No. 1, 1--10 (2014; Zbl 1313.62090)
Ivanov, O. V.; Orlovs’kyĭ, I. V. Asymptotic properties of the estimator of linear regression parameters in the case of weakly dependent regressors. (Ukrainian. English summary) Zbl 1313.62091 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 5, 24-28 (2014). MSC: 62J05 62F12 62E20 60F05 62F35 PDFBibTeX XMLCite \textit{O. V. Ivanov} and \textit{I. V. Orlovs'kyĭ}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 5, 24--28 (2014; Zbl 1313.62091) 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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{A. V. Ivanov} and \textit{N. N. Leonenko}, Math. Methods Stat. 13, No. 2, 153--178 (2004; Zbl 1132.62338)
Ivanov, A. V. On the consistency of \(l_ \alpha\)-estimators of parameters of a regression function. (English. Russian original) Zbl 0748.62035 Theory Probab. Math. Stat. 42, 47-53 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 42-48 (1990). MSC: 62J02 62F12 62E20 PDFBibTeX XMLCite \textit{A. V. Ivanov}, Theory Probab. Math. Stat. 42, 47--53 (1990; Zbl 0748.62035); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 42--48 (1990)
Bardadym, T. A.; Ivanov, A. V. Asymptotic normality of \(l_{\alpha}\)-estimates for the parameters of nonlinear regression model. (Russian. English summary) Zbl 0647.62027 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 8, 68-70 (1988). MSC: 62E20 62J02 62F12 PDFBibTeX XMLCite \textit{T. A. Bardadym} and \textit{A. V. Ivanov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 8, 68--70 (1988; Zbl 0647.62027)
Borshchevskij, A. V.; Ivanov, A. V. Some property of the optimum point in the problem of data processing by the least deviation method. (Russian. English summary) Zbl 0573.62054 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 1, 53-56 (1985). MSC: 62J02 PDFBibTeX XMLCite \textit{A. V. Borshchevskij} and \textit{A. V. Ivanov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 1, 53--56 (1985; Zbl 0573.62054)
Ivanov, A. V. Two theorems on consistency of a least squares estimator. (English) Zbl 0599.62080 Theory Probab. Math. Stat. 28, 25-34 (1984). MSC: 62J02 60F15 PDFBibTeX XMLCite \textit{A. V. Ivanov}, Theory Probab. Math. Stat. 28, 25--34 (1984; Zbl 0599.62080)
Ivanov, A. V. Consistency and asymptotic normality of least absolute value estimates. (English) Zbl 0567.62014 Ukr. Math. J. 36, 267-272 (1984). MSC: 62E20 62J02 PDFBibTeX XMLCite \textit{A. V. Ivanov}, Ukr. Math. J. 36, 267--272 (1984; Zbl 0567.62014) Full Text: DOI
Ivanov, A. V. On consistency and asymptotic normality of an estimate of least modulus. (Russian) Zbl 0542.62050 Ukr. Mat. Zh. 36, No. 3, 297-303 (1984). Reviewer: B.L.S.Prakasa-Rao MSC: 62J02 62E20 PDFBibTeX XMLCite \textit{A. V. Ivanov}, Ukr. Mat. Zh. 36, No. 3, 297--303 (1984; Zbl 0542.62050)
Ivanov, A. V. Two theorems on the consistency of the least squares estimate. (Russian) Zbl 0526.62057 Teor. Veroyatn. Mat. Stat. 28, 21-31 (1983). MSC: 62J02 60F15 PDFBibTeX XML
Ivanov, A. V.; Rozhkova, M. N. Properties of the statistical estimate of the entropy of a random vector with a probability density. (English) Zbl 0529.62002 Probl. Inf. Transm. 17, 171-178 (1982). MSC: 62B10 PDFBibTeX XMLCite \textit{A. V. Ivanov} and \textit{M. N. Rozhkova}, Probl. Inf. Transm. 17, 171--178 (1982; Zbl 0529.62002)
Ivanov, A. V.; Rozhkova, M. N. On properties of a statistical estimate for the entropy of a random vector with density. (Russian) Zbl 0515.62005 Probl. Peredachi Inf. 17, No. 3, 34-43 (1981). MSC: 62B10 PDFBibTeX XMLCite \textit{A. V. Ivanov} and \textit{M. N. Rozhkova}, Probl. Peredachi Inf. 17, No. 3, 34--43 (1981; Zbl 0515.62005)
Ivanov, A. V. A solution of the problem of detecting hidden periodicities. (English) Zbl 0485.60044 Theory Probab. Math. Stat. 20, 51-68 (1980). MSC: 60G35 62M10 60H99 62M15 PDFBibTeX XMLCite \textit{A. V. Ivanov}, Theory Probab. Math. Stat. 20, 51--68 (1980; Zbl 0485.60044)
Ivanov, A. V. A solution of the hidden periodicities exposure problem. (Russian) Zbl 0407.60071 Teor. Veroyatn. Mat. Stat. 20, 44-59 (1979). MSC: 60H99 62J05 62H12 60G25 PDFBibTeX XML
Ivanov, A. V. An estimate of the angular frequency of a harmonic oscillation in the presence of stationary noise. (English) Zbl 0435.62088 Theory Probab. Math. Stat. 14, 45-53 (1977). MSC: 62M09 62M10 60G35 94A05 PDFBibTeX XMLCite \textit{A. V. Ivanov}, Theory Probab. Math. Stat. 14, 45--53 (1977; Zbl 0435.62088)