Babayan, Nikolay M.; Ginovyan, Mamikon S. Asymptotic behavior of the prediction error for stationary sequences. (English) Zbl 1517.60040 Probab. Surv. 20, 664-721 (2023). MSC: 60G10 60G25 62M15 62M20 15A18 30C10 PDFBibTeX XMLCite \textit{N. M. Babayan} and \textit{M. S. Ginovyan}, Probab. Surv. 20, 664--721 (2023; Zbl 1517.60040) Full Text: DOI arXiv Link
Ginovyan, Mamikon S.; Taqqu, Murad S. Limit theorems for Toeplitz-type quadratic functionals of stationary processes and applications. (English) Zbl 1486.60045 Probab. Surv. 19, 1-64 (2022). Reviewer: Julien Poisat (Paris) MSC: 60F05 60G10 60G15 62F12 62G05 PDFBibTeX XMLCite \textit{M. S. Ginovyan} and \textit{M. S. Taqqu}, Probab. Surv. 19, 1--64 (2022; Zbl 1486.60045) Full Text: DOI arXiv Link
Ginovyan, Mamikon S. Parameter estimation for Lévy-driven continuous-time linear models with tapered data. (English) Zbl 1465.62055 Acta Appl. Math. 169, 79-97 (2020). MSC: 62F10 62F12 62M15 60G10 60F05 PDFBibTeX XMLCite \textit{M. S. Ginovyan}, Acta Appl. Math. 169, 79--97 (2020; Zbl 1465.62055) Full Text: DOI
Ginovyan, M. S.; Sahakyan, A. A. Limit theorems for tapered Toeplitz quadratic functionals of continuous-time Gaussian stationary processes. (English) Zbl 1432.60043 J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 4, 222-239 (2019) and Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 4, 12-35 (2019). MSC: 60G10 60G15 60F05 PDFBibTeX XMLCite \textit{M. S. Ginovyan} and \textit{A. A. Sahakyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 4, 222--239 (2019; Zbl 1432.60043) Full Text: DOI
Ginovyan, Mamikon S.; Sahakyan, Artur A. Estimation of spectral functionals for Lévy-driven continuous-time linear models with tapered data. (English) Zbl 1462.62228 Electron. J. Stat. 13, No. 1, 255-283 (2019). MSC: 62G07 62G20 62M15 60G10 60F05 PDFBibTeX XMLCite \textit{M. S. Ginovyan} and \textit{A. A. Sahakyan}, Electron. J. Stat. 13, No. 1, 255--283 (2019; Zbl 1462.62228) Full Text: DOI Euclid
Ginovyan, Mamikon S.; Sahakyan, Artur A.; Taqqu, Murad S. The trace problem for Toeplitz matrices and operators and its impact in probability. (English) Zbl 1348.60054 Probab. Surv. 11, 393-440 (2014). MSC: 60G10 47B35 15B05 60F05 60F10 62G05 62G20 PDFBibTeX XMLCite \textit{M. S. Ginovyan} et al., Probab. Surv. 11, 393--440 (2014; Zbl 1348.60054) Full Text: DOI arXiv Euclid
Ginovyan, M. S.; Sahakyan, A. A. Trace approximations of products of truncated Toeplitz operators. (English) Zbl 1242.60022 Theory Probab. Appl. 56, No. 1, 57-71 (2012) and Teor. Veroyatn. Primen. 56, No. 1, 123-139 (2011). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 60F05 60G10 PDFBibTeX XMLCite \textit{M. S. Ginovyan} and \textit{A. A. Sahakyan}, Theory Probab. Appl. 56, No. 1, 57--71 (2012; Zbl 1242.60022) Full Text: DOI
Ginovyan, M. S.; Sahakyan, A. A. A note on approximations of traces of products of truncated Toeplitz matrices. (English. Russian original) Zbl 1176.60028 J. Contemp. Math. Anal., Armen. Acad. Sci. 44, No. 4, 262-269 (2009); translation from Izv. Nats. Akad. Nauk Armen., Mat. 44, No. 4, 77-86 (2009). MSC: 60G10 60F05 PDFBibTeX XMLCite \textit{M. S. Ginovyan} and \textit{A. A. Sahakyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 44, No. 4, 262--269 (2009; Zbl 1176.60028); translation from Izv. Nats. Akad. Nauk Armen., Mat. 44, No. 4, 77--86 (2009) Full Text: DOI
Ginovyan, M. S.; Sahakyan, A. A. Limit theorems for Toeplitz quadratic functionals of continuous-time stationary processes. (English) Zbl 1113.60027 Probab. Theory Relat. Fields 138, No. 3-4, 551-579 (2007). MSC: 60F05 60G10 60G15 PDFBibTeX XMLCite \textit{M. S. Ginovyan} and \textit{A. A. Sahakyan}, Probab. Theory Relat. Fields 138, No. 3--4, 551--579 (2007; Zbl 1113.60027) Full Text: DOI
Ginovyan, M. S.; Saakyan, A. A. On the central limit theorem for Toeplitz quadratic forms of stationary sequences. (English. Russian original) Zbl 1090.60021 Theory Probab. Appl. 49, No. 4, 612-628 (2005); translation from Teor. Veroyatn. Primen. 49, No. 4, 653-671 (2004). MSC: 60F05 60G10 PDFBibTeX XMLCite \textit{M. S. Ginovyan} and \textit{A. A. Saakyan}, Theory Probab. Appl. 49, No. 4, 612--628 (2005; Zbl 1090.60021); translation from Teor. Veroyatn. Primen. 49, No. 4, 653--671 (2004) Full Text: DOI
Ginovian, M. S. On Toeplitz type quadratic functionals of stationary Gaussian processes. (English) Zbl 0817.60018 Probab. Theory Relat. Fields 100, No. 3, 395-406 (1994). Reviewer: T.Inglot (Wrocław) MSC: 60F05 60G15 62M15 60G10 PDFBibTeX XMLCite \textit{M. S. Ginovian}, Probab. Theory Relat. Fields 100, No. 3, 395--406 (1994; Zbl 0817.60018) Full Text: DOI