Frey, Matthias; Bjelaković, Igor; Stańczak, Sławomir Over-the-Air computation for distributed machine learning and consensus in large wireless networks. (English) Zbl 07633127 Kutyniok, Gitta (ed.) et al., Compressed sensing in information processing. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 401-434 (2022). MSC: 94A12 68T05 PDF BibTeX XML Cite \textit{M. Frey} et al., in: Compressed sensing in information processing. Cham: Birkhäuser. 401--434 (2022; Zbl 07633127) Full Text: DOI OpenURL
Sun, Xingping; Zhou, Xuan Stochastic quasi-interpolation with Bernstein polynomials. (English) Zbl 07609396 Mediterr. J. Math. 19, No. 5, Paper No. 240, 20 p. (2022). MSC: 60G20 60H30 41A17 41A35 PDF BibTeX XML Cite \textit{X. Sun} and \textit{X. Zhou}, Mediterr. J. Math. 19, No. 5, Paper No. 240, 20 p. (2022; Zbl 07609396) Full Text: DOI OpenURL
Al Hayek, Nour; Donhauzer, Illia; Giuliano, Rita; Olenko, Andriy; Volodin, Andrei Asymptotics of running maxima for \(\varphi \)-subgaussian random double arrays. (English) Zbl 1498.60112 Methodol. Comput. Appl. Probab. 24, No. 3, 1341-1366 (2022). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60F15 60G60 60G70 PDF BibTeX XML Cite \textit{N. Al Hayek} et al., Methodol. Comput. Appl. Probab. 24, No. 3, 1341--1366 (2022; Zbl 1498.60112) Full Text: DOI arXiv OpenURL
Belomestny, Denis; Hübner, Tobias; Krätschmer, Volker Solving optimal stopping problems under model uncertainty via empirical dual optimisation. (English) Zbl 1494.91153 Finance Stoch. 26, No. 3, 461-503 (2022). MSC: 91G20 60G40 90C46 PDF BibTeX XML Cite \textit{D. Belomestny} et al., Finance Stoch. 26, No. 3, 461--503 (2022; Zbl 1494.91153) Full Text: DOI OpenURL
Ianevych, Tetiana; Rozora, Iryna; Pashko, Anatolii On one way of modeling a stochastic process with given accuracy and reliability. (English) Zbl 1491.60052 Monte Carlo Methods Appl. 28, No. 2, 135-147 (2022). MSC: 60G15 60K10 60G10 PDF BibTeX XML Cite \textit{T. Ianevych} et al., Monte Carlo Methods Appl. 28, No. 2, 135--147 (2022; Zbl 1491.60052) Full Text: DOI OpenURL
Milz, Johannes; Ulbrich, Michael An approximation scheme for distributionally robust PDE-constrained optimization. (English) Zbl 1493.90120 SIAM J. Control Optim. 60, No. 3, 1410-1435 (2022). MSC: 90C17 90C26 90C59 65K05 PDF BibTeX XML Cite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Control Optim. 60, No. 3, 1410--1435 (2022; Zbl 1493.90120) Full Text: DOI OpenURL
Ianevych, Tetiana O.; Kozachenko, Yuriy V.; Troshki, Viktor B. On test for checking hypothesis on expectation and covariance function of stochastic process. (English) Zbl 07532278 Commun. Stat., Theory Methods 51, No. 2, 356-367 (2022). MSC: 62F03 60G15 62G10 62-XX PDF BibTeX XML Cite \textit{T. O. Ianevych} et al., Commun. Stat., Theory Methods 51, No. 2, 356--367 (2022; Zbl 07532278) Full Text: DOI OpenURL
Xu, Hang; Li, Song; Lin, Junhong Low rank matrix recovery with adversarial sparse noise. (English) Zbl 1485.90135 Inverse Probl. 38, No. 3, Article ID 035001, 41 p. (2022). MSC: 90C30 90C90 PDF BibTeX XML Cite \textit{H. Xu} et al., Inverse Probl. 38, No. 3, Article ID 035001, 41 p. (2022; Zbl 1485.90135) Full Text: DOI OpenURL
Blazhievska, Irina; Zaiats, Vladimir On cross-correlogram IRF’s estimators of two-output systems in spaces of continuous functions. (English) Zbl 07532240 Commun. Stat., Theory Methods 50, No. 24, 6024-6048 (2021). MSC: 62-XX PDF BibTeX XML Cite \textit{I. Blazhievska} and \textit{V. Zaiats}, Commun. Stat., Theory Methods 50, No. 24, 6024--6048 (2021; Zbl 07532240) Full Text: DOI arXiv OpenURL
Ivanov, Alexander; Kozachenko, Yuriy; Moskvychova, Kateryna Large deviations of the correlogram estimator of the random noise covariance function in the nonlinear regression model. (English) Zbl 07531809 Commun. Stat., Theory Methods 50, No. 18, 4236-4254 (2021). MSC: 62J02 60G10 60J15 60F10 62G20 62-XX PDF BibTeX XML Cite \textit{A. Ivanov} et al., Commun. Stat., Theory Methods 50, No. 18, 4236--4254 (2021; Zbl 07531809) Full Text: DOI OpenURL
Zajkowski, K. On the strong law of large numbers for \(\phi \)-sub-Gaussian random variables. (English) Zbl 1489.60049 Ukr. Math. J. 73, No. 3, 506-512 (2021) and Ukr. Mat. Zh. 73, No. 3, 431-436 (2021). MSC: 60F15 60G15 PDF BibTeX XML Cite \textit{K. Zajkowski}, Ukr. Math. J. 73, No. 3, 506--512 (2021; Zbl 1489.60049) Full Text: DOI arXiv OpenURL
Ivanov, Alexander; Moskvychova, Kateryna Asymptotic normality of the residual correlogram in the continuous-time nonlinear regression model. (English) Zbl 1473.62234 Mod. Stoch., Theory Appl. 8, No. 1, 93-113 (2021). MSC: 62J02 62F12 62M10 PDF BibTeX XML Cite \textit{A. Ivanov} and \textit{K. Moskvychova}, Mod. Stoch., Theory Appl. 8, No. 1, 93--113 (2021; Zbl 1473.62234) Full Text: DOI OpenURL
Pistone, Giovanni Information geometry of smooth densities on the Gaussian space: Poincaré inequalities. (English) Zbl 1479.53019 Nielsen, Frank (ed.), Progress in information geometry. Theory and applications. Based on discussions of the fourth international conference on geometric science of information, GSI’2019, Toulouse, France, August 27–29, 2019. Cham: Springer. Signals Commun. Technol., 1-17 (2021). MSC: 53B12 62B11 PDF BibTeX XML Cite \textit{G. Pistone}, in: Progress in information geometry. Theory and applications. Based on discussions of the fourth international conference on geometric science of information, GSI'2019, Toulouse, France, August 27--29, 2019. Cham: Springer. 1--17 (2021; Zbl 1479.53019) Full Text: DOI arXiv OpenURL
Formica, Maria Rosaria; Ostrovsky, Eugeny; Sirota, Leonid Grand quasi Lebesgue spaces. (English) Zbl 1481.46022 J. Math. Anal. Appl. 504, No. 1, Article ID 125369, 21 p. (2021). Reviewer: Oleksiy Karlovych (Lisboa) MSC: 46E30 PDF BibTeX XML Cite \textit{M. R. Formica} et al., J. Math. Anal. Appl. 504, No. 1, Article ID 125369, 21 p. (2021; Zbl 1481.46022) Full Text: DOI arXiv OpenURL
Sun, Xingping; Wu, Zongmin; Zhou, Xuan On probabilistic convergence rates of stochastic Bernstein polynomials. (English) Zbl 1457.62245 Math. Comput. 90, No. 328, 813-830 (2021). MSC: 62L20 41A25 41A63 42B08 60H30 PDF BibTeX XML Cite \textit{X. Sun} et al., Math. Comput. 90, No. 328, 813--830 (2021; Zbl 1457.62245) Full Text: DOI OpenURL
Blazhievska, Irina; Zaiats, Vladimir Estimation of impulse response functions in two-output systems. (English) Zbl 07549033 Commun. Stat., Theory Methods 49, No. 2, 257-280 (2020). MSC: 62-XX PDF BibTeX XML Cite \textit{I. Blazhievska} and \textit{V. Zaiats}, Commun. Stat., Theory Methods 49, No. 2, 257--280 (2020; Zbl 07549033) Full Text: DOI OpenURL
Lv, Shaogao; Fan, Zengyan; Lian, Heng; Suzuki, Taiji; Fukumizu, Kenji A reproducing kernel Hilbert space approach to high dimensional partially varying coefficient model. (English) Zbl 07345887 Comput. Stat. Data Anal. 152, Article ID 107039, 28 p. (2020). MSC: 62-XX PDF BibTeX XML Cite \textit{S. Lv} et al., Comput. Stat. Data Anal. 152, Article ID 107039, 28 p. (2020; Zbl 07345887) Full Text: DOI OpenURL
Zajkowski, Krzysztof On norms in some class of exponential type Orlicz spaces of random variables. (English) Zbl 1476.46039 Positivity 24, No. 5, 1231-1240 (2020). MSC: 46E30 60E15 PDF BibTeX XML Cite \textit{K. Zajkowski}, Positivity 24, No. 5, 1231--1240 (2020; Zbl 1476.46039) Full Text: DOI arXiv OpenURL
Formica, Maria Rosaria; Vasil’ovich Kozachenko, Yuriy; Ostrovsky, Eugeny; Sirota, Leonid Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables. (English) Zbl 1473.60006 Lith. Math. J. 60, No. 3, 330-358 (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 60B05 60F15 46E30 60G50 PDF BibTeX XML Cite \textit{M. R. Formica} et al., Lith. Math. J. 60, No. 3, 330--358 (2020; Zbl 1473.60006) Full Text: DOI OpenURL
Zajkowski, Krzysztof Bounds on tail probabilities for quadratic forms in dependent sub-Gaussian random variables. (English) Zbl 1453.60064 Stat. Probab. Lett. 167, Article ID 108898, 7 p. (2020). MSC: 60E15 PDF BibTeX XML Cite \textit{K. Zajkowski}, Stat. Probab. Lett. 167, Article ID 108898, 7 p. (2020; Zbl 1453.60064) Full Text: DOI arXiv OpenURL
Giuliano, R.; Cabrera, M. Ordóñez; Volodin, A. On the sub-gaussianity of the \(r\)-correlograms. (English) Zbl 1456.60080 Theory Probab. Appl. 65, No. 3, 470-481 (2020) and Teor. Veroyatn. Primen. 65, No. 3, 602-616 (2020). MSC: 60G10 60G15 62M09 PDF BibTeX XML Cite \textit{R. Giuliano} et al., Theory Probab. Appl. 65, No. 3, 470--481 (2020; Zbl 1456.60080) Full Text: DOI OpenURL
Milz, Johannes; Ulbrich, Michael An approximation scheme for distributionally robust nonlinear optimization. (English) Zbl 1448.90068 SIAM J. Optim. 30, No. 3, 1996-2025 (2020). MSC: 90C17 90C26 90C46 90C59 49M37 PDF BibTeX XML Cite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Optim. 30, No. 3, 1996--2025 (2020; Zbl 1448.90068) Full Text: DOI OpenURL
Arbel, Julyan; Marchal, Olivier; Nguyen, Hien D. On strict sub-Gaussianity, optimal proxy variance and symmetry for bounded random variables. (English) Zbl 1445.60016 ESAIM, Probab. Stat. 24, 39-55 (2020). MSC: 60E05 62E15 PDF BibTeX XML Cite \textit{J. Arbel} et al., ESAIM, Probab. Stat. 24, 39--55 (2020; Zbl 1445.60016) Full Text: DOI arXiv OpenURL
Kozachenko, Yuriy; Orsingher, Enzo; Sakhno, Lyudmyla; Vasylyk, Olga Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions. (English) Zbl 1434.35281 Mod. Stoch., Theory Appl. 7, No. 1, 79-96 (2020). MSC: 35R60 35G10 60G20 60G60 PDF BibTeX XML Cite \textit{Y. Kozachenko} et al., Mod. Stoch., Theory Appl. 7, No. 1, 79--96 (2020; Zbl 1434.35281) Full Text: DOI arXiv OpenURL
Turchyn, Ievgen Wavelet-based simulation of random processes from certain classes with given accuracy and reliability. (English) Zbl 1425.60034 Monte Carlo Methods Appl. 25, No. 3, 217-225 (2019). MSC: 60G10 60G15 60G18 42C40 PDF BibTeX XML Cite \textit{I. Turchyn}, Monte Carlo Methods Appl. 25, No. 3, 217--225 (2019; Zbl 1425.60034) Full Text: DOI arXiv OpenURL
Zajkowski, Krzysztof Norms of sub-exponential random vectors. (English) Zbl 1435.46025 Stat. Probab. Lett. 152, 147-152 (2019). MSC: 46E30 60E15 PDF BibTeX XML Cite \textit{K. Zajkowski}, Stat. Probab. Lett. 152, 147--152 (2019; Zbl 1435.46025) Full Text: DOI arXiv OpenURL
Kozachenko, Yury V.; Troshki, Viktor B. Construction of a criterion for testing hypothesis about covariance function of a stationary Gaussian stochastic process with unknown mean. (English) Zbl 07405712 Commun. Stat., Theory Methods 47, No. 18, 4556-4567 (2018). MSC: 62-XX 68P30 68W20 PDF BibTeX XML Cite \textit{Y. V. Kozachenko} and \textit{V. B. Troshki}, Commun. Stat., Theory Methods 47, No. 18, 4556--4567 (2018; Zbl 07405712) Full Text: DOI OpenURL
Kozachenko, Yu.; Orsingher, E.; Sakhno, L.; Vasylyk, O. Estimates for functionals of solutions to higher-order heat-type equations with random initial conditions. (English) Zbl 1418.35325 J. Stat. Phys. 172, No. 6, 1641-1662 (2018). MSC: 35Q53 35K58 35R11 35R60 60G12 PDF BibTeX XML Cite \textit{Yu. Kozachenko} et al., J. Stat. Phys. 172, No. 6, 1641--1662 (2018; Zbl 1418.35325) Full Text: DOI arXiv OpenURL
Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization. (English) Zbl 1461.65138 SIAM J. Sci. Comput. 40, No. 4, A2174-A2199 (2018). MSC: 65K05 65K10 90C30 65C05 PDF BibTeX XML Cite \textit{X. Chen} et al., SIAM J. Sci. Comput. 40, No. 4, A2174--A2199 (2018; Zbl 1461.65138) Full Text: DOI OpenURL
Ivanov, Alexander V.; Orlovskyi, Igor V. Large deviations of regression parameter estimator in continuous-time models with sub-Gaussian noise. (English) Zbl 1391.60100 Mod. Stoch., Theory Appl. 5, No. 2, 191-206 (2018). MSC: 60G50 65B10 60G15 40A05 PDF BibTeX XML Cite \textit{A. V. Ivanov} and \textit{I. V. Orlovskyi}, Mod. Stoch., Theory Appl. 5, No. 2, 191--206 (2018; Zbl 1391.60100) Full Text: DOI arXiv OpenURL
Boukhari, Fakhreddine; Malti, Dounyazed Convergence of series of strongly integrable random variables and applications. (English) Zbl 1406.60056 Stat. Probab. Lett. 137, 191-200 (2018). MSC: 60G17 60F10 60G50 PDF BibTeX XML Cite \textit{F. Boukhari} and \textit{D. Malti}, Stat. Probab. Lett. 137, 191--200 (2018; Zbl 1406.60056) Full Text: DOI arXiv OpenURL
Rozora, Iryna; Lyzhechko, Mariia On the modeling of linear system input stochastic processes with given accuracy and reliability. (English) Zbl 1391.60072 Monte Carlo Methods Appl. 24, No. 2, 129-137 (2018). MSC: 60G15 68U20 60K10 PDF BibTeX XML Cite \textit{I. Rozora} and \textit{M. Lyzhechko}, Monte Carlo Methods Appl. 24, No. 2, 129--137 (2018; Zbl 1391.60072) Full Text: DOI OpenURL
Dozzi, Marco; Kozachenko, Yuriy; Mishura, Yuliya; Ralchenko, Kostiantyn Asymptotic growth of trajectories of multifractional Brownian motion, with statistical applications to drift parameter estimation. (English) Zbl 1395.60042 Stat. Inference Stoch. Process. 21, No. 1, 21-52 (2018). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60G15 60G22 62F10 62F12 PDF BibTeX XML Cite \textit{M. Dozzi} et al., Stat. Inference Stoch. Process. 21, No. 1, 21--52 (2018; Zbl 1395.60042) Full Text: DOI arXiv OpenURL
Rozora, Iryna V. Statistical hypothesis testing for the shape of impulse response function. (English) Zbl 1462.62130 Commun. Stat., Theory Methods 47, No. 6, 1459-1474 (2018). MSC: 62F03 60G15 60F10 PDF BibTeX XML Cite \textit{I. V. Rozora}, Commun. Stat., Theory Methods 47, No. 6, 1459--1474 (2018; Zbl 1462.62130) Full Text: DOI OpenURL
Wang, Tao; Chen, Mengjie; Zhao, Hongyu; Zhu, Lixing Estimating a sparse reduction for general regression in high dimensions. (English) Zbl 1384.62141 Stat. Comput. 28, No. 1, 33-46 (2018). MSC: 62G08 62H12 62P10 PDF BibTeX XML Cite \textit{T. Wang} et al., Stat. Comput. 28, No. 1, 33--46 (2018; Zbl 1384.62141) Full Text: DOI OpenURL
Ivanov, A. V. Large deviations of regression parameter estimate in the models with stationary sub-Gaussian noise. (English) Zbl 1390.60109 Theory Probab. Math. Stat. 95, 99-108 (2017) and Teor. Jmovirn. Mat. Stat. 95, 92-100 (2016). MSC: 60F10 60G15 62M10 PDF BibTeX XML Cite \textit{A. V. Ivanov}, Theory Probab. Math. Stat. 95, 99--108 (2017; Zbl 1390.60109) Full Text: DOI OpenURL
Kozachenko, Yuriy; Petranova, Marina Simulation of Gaussian stationary Ornstein-Uhlenbeck process with given reliability and accuracy in space \(C([0,T])\). (English) Zbl 1386.60133 Monte Carlo Methods Appl. 23, No. 4, 277-286 (2017). MSC: 60G10 60G15 PDF BibTeX XML Cite \textit{Y. Kozachenko} and \textit{M. Petranova}, Monte Carlo Methods Appl. 23, No. 4, 277--286 (2017; Zbl 1386.60133) Full Text: DOI OpenURL
Little, Anna V.; Maggioni, Mauro; Rosasco, Lorenzo Multiscale geometric methods for data sets. I: Multiscale SVD, noise and curvature. (English) Zbl 06770640 Appl. Comput. Harmon. Anal. 43, No. 3, 504-567 (2017). MSC: 62H25 60E05 PDF BibTeX XML Cite \textit{A. V. Little} et al., Appl. Comput. Harmon. Anal. 43, No. 3, 504--567 (2017; Zbl 06770640) Full Text: DOI Link OpenURL
Ianevych, Tetiana O.; Kozachenko, Yuriy V.; Troshki, Viktor B. Goodness-of-fit tests for random sequences incorporating several components. (English) Zbl 1360.62440 Random Oper. Stoch. Equ. 25, No. 1, 1-10 (2017). MSC: 62M07 60G15 60G10 62M10 PDF BibTeX XML Cite \textit{T. O. Ianevych} et al., Random Oper. Stoch. Equ. 25, No. 1, 1--10 (2017; Zbl 1360.62440) Full Text: DOI OpenURL
Feng, Yunlong; Lv, Shao-Gao; Hang, Hanyuan; Suykens, Johan A. K. Kernelized elastic net regularization: generalization bounds, and sparse recovery. (English) Zbl 1474.62124 Neural Comput. 28, No. 3, 525-562 (2016). MSC: 62G08 62H25 PDF BibTeX XML Cite \textit{Y. Feng} et al., Neural Comput. 28, No. 3, 525--562 (2016; Zbl 1474.62124) Full Text: DOI OpenURL
Yamnenko, Rostyslav Averaged deviations of Orlicz processes and majorizing measures. (English) Zbl 1352.60074 Mod. Stoch., Theory Appl. 3, No. 3, 249-268 (2016). MSC: 60G99 60G07 PDF BibTeX XML Cite \textit{R. Yamnenko}, Mod. Stoch., Theory Appl. 3, No. 3, 249--268 (2016; Zbl 1352.60074) Full Text: DOI arXiv OpenURL
Durastanti, Claudio Adaptive global thresholding on the sphere. (English) Zbl 1346.62074 J. Multivariate Anal. 151, 110-132 (2016). MSC: 62G08 62G20 65T60 PDF BibTeX XML Cite \textit{C. Durastanti}, J. Multivariate Anal. 151, 110--132 (2016; Zbl 1346.62074) Full Text: DOI arXiv OpenURL
Kvaratskhelia, V.; Tarieladze, V.; Vakhania, N. Characterization of \(\gamma\)-subgaussian random elements in a Banach space. (English. Russian original) Zbl 1359.46009 J. Math. Sci., New York 216, No. 4, 564-568 (2016); translation from Sovrem. Mat. Prilozh. 94 (2014). MSC: 46B09 60B11 PDF BibTeX XML Cite \textit{V. Kvaratskhelia} et al., J. Math. Sci., New York 216, No. 4, 564--568 (2016; Zbl 1359.46009); translation from Sovrem. Mat. Prilozh. 94 (2014) Full Text: DOI OpenURL
Kozachenko, Yuriy; Olenko, Andriy Whittaker-Kotel’nikov-Shannon approximation of \(\phi\)-sub-Gaussian random processes. (English) Zbl 1342.60048 J. Math. Anal. Appl. 443, No. 2, 926-946 (2016). MSC: 60F99 60F25 60G15 PDF BibTeX XML Cite \textit{Y. Kozachenko} and \textit{A. Olenko}, J. Math. Anal. Appl. 443, No. 2, 926--946 (2016; Zbl 1342.60048) Full Text: DOI arXiv OpenURL
Turchyn, Ievgen A multiplicative wavelet-based model for simulation of a random process. (English) Zbl 1352.60053 Mod. Stoch., Theory Appl. 2, No. 4, 309-325 (2015). MSC: 60F17 60G12 65C20 42C40 PDF BibTeX XML Cite \textit{I. Turchyn}, Mod. Stoch., Theory Appl. 2, No. 4, 309--325 (2015; Zbl 1352.60053) Full Text: DOI OpenURL
Troshki, V. B. Restricted isometry property for matrices whose entries are random variables belonging to some Orlicz spaces \(L_U(\Omega)\). (English. Ukrainian original) Zbl 1349.94077 Theory Probab. Math. Stat. 91, 193-203 (2015); translation from Teor. Jmovirn. Mat. Stat. 91, 174-183 (2014). MSC: 94A12 60B11 60B20 PDF BibTeX XML Cite \textit{V. B. Troshki}, Theory Probab. Math. Stat. 91, 193--203 (2015; Zbl 1349.94077); translation from Teor. Jmovirn. Mat. Stat. 91, 174--183 (2014) Full Text: DOI OpenURL
Guyader, Arnaud; Hengartner, Nick; Jégou, Nicolas; Matzner-Løber, Eric Iterative isotonic regression. (English) Zbl 1392.62117 ESAIM, Probab. Stat. 19, 1-23 (2015). MSC: 62G08 62G20 PDF BibTeX XML Cite \textit{A. Guyader} et al., ESAIM, Probab. Stat. 19, 1--23 (2015; Zbl 1392.62117) Full Text: DOI arXiv OpenURL
Yamnenko, Rostyslav E. A bound for norms in \(L_p(T)\) of deviations of \(\varphi\)-sub-Gaussian stochastic processes. (English) Zbl 1329.60088 Lith. Math. J. 55, No. 2, 291-300 (2015). MSC: 60F99 60F10 60F25 60G22 60G18 PDF BibTeX XML Cite \textit{R. E. Yamnenko}, Lith. Math. J. 55, No. 2, 291--300 (2015; Zbl 1329.60088) Full Text: DOI OpenURL
Troshki, V. B. A new criterion for testing hypothesis about the covariance function of the homogeneous and isotropic random field. (English) Zbl 1322.60071 Carpathian Math. Publ. 7, No. 1, 114-119 (2015). MSC: 60G60 62M40 60G15 60G17 PDF BibTeX XML Cite \textit{V. B. Troshki}, Carpathian Math. Publ. 7, No. 1, 114--119 (2015; Zbl 1322.60071) Full Text: DOI OpenURL
Lai, Ming-Jun; Liu, Yang The probabilistic estimates on the largest and smallest \(q\)-singular values of random matrices. (English) Zbl 1314.60028 Math. Comput. 84, No. 294, 1775-1794 (2015). MSC: 60B20 60F10 60G50 60G42 PDF BibTeX XML Cite \textit{M.-J. Lai} and \textit{Y. Liu}, Math. Comput. 84, No. 294, 1775--1794 (2015; Zbl 1314.60028) Full Text: DOI OpenURL
Kozachenko, Yuriy; Troshki, Viktor A criterion for testing hypotheses about the covariance function of a stationary Gaussian stochastic process. (English) Zbl 1349.62384 Mod. Stoch., Theory Appl. 1, No. 2, 139-149 (2014). MSC: 62M07 60G10 60G15 PDF BibTeX XML Cite \textit{Y. Kozachenko} and \textit{V. Troshki}, Mod. Stoch., Theory Appl. 1, No. 2, 139--149 (2014; Zbl 1349.62384) Full Text: DOI arXiv OpenURL
Slyvka-Tylyshchak, A. I. The heat equation on line with random right part from Orlicz space. (English) Zbl 1325.35072 Carpathian Math. Publ. 6, No. 1, 134-148 (2014). MSC: 35K05 60G15 PDF BibTeX XML Cite \textit{A. I. Slyvka-Tylyshchak}, Carpathian Math. Publ. 6, No. 1, 134--148 (2014; Zbl 1325.35072) Full Text: DOI OpenURL
Shang, Zuofeng; Li, Ping High-dimensional Bayesian inference in nonparametric additive models. (English) Zbl 1348.62171 Electron. J. Stat. 8, No. 2, 2804-2847 (2014). MSC: 62G20 62F25 62F15 62F12 PDF BibTeX XML Cite \textit{Z. Shang} and \textit{P. Li}, Electron. J. Stat. 8, No. 2, 2804--2847 (2014; Zbl 1348.62171) Full Text: DOI arXiv Euclid OpenURL
Synyavs’ka, O. O. A Baxter type estimator of an unknown parameter of the covariance function in the non-Gaussian case. (English. Ukrainian original) Zbl 1300.60048 Theory Probab. Math. Stat. 88, 191-201 (2014); translation from Teor. Jmovirn. Mat. Stat. 88, 171-180 (2013). MSC: 60G12 42C40 PDF BibTeX XML Cite \textit{O. O. Synyavs'ka}, Theory Probab. Math. Stat. 88, 191--201 (2014; Zbl 1300.60048); translation from Teor. Jmovirn. Mat. Stat. 88, 171--180 (2013) Full Text: DOI OpenURL
Kozachenko, Yu. V.; Kamenshchikova, O. E. An approximation of stochastic processes belonging to the Orlicz space in the norm of the space \(C[0,\infty)\). (English. Ukrainian original) Zbl 1333.60067 Theory Probab. Math. Stat. 88, 123-138 (2014); translation from Teor. Jmovirn. Mat. Stat. 88, 110-123 (2013). MSC: 60G07 60G17 PDF BibTeX XML Cite \textit{Yu. V. Kozachenko} and \textit{O. E. Kamenshchikova}, Theory Probab. Math. Stat. 88, 123--138 (2014; Zbl 1333.60067); translation from Teor. Jmovirn. Mat. Stat. 88, 110--123 (2013) Full Text: DOI OpenURL
Yamnenko, R.; Kozachenko, Yu.; Bushmitch, D. Generalized sub-Gaussian fractional Brownian motion queueing model. (English) Zbl 1302.60128 Queueing Syst. 77, No. 1, 75-96 (2014). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 60G20 PDF BibTeX XML Cite \textit{R. Yamnenko} et al., Queueing Syst. 77, No. 1, 75--96 (2014; Zbl 1302.60128) Full Text: DOI OpenURL
Kabluchko, Zakhar; Wang, Yizao Limiting distribution for the maximal standardized increment of a random walk. (English) Zbl 1323.60074 Stochastic Processes Appl. 124, No. 9, 2824-2867 (2014). MSC: 60G70 60G50 60F10 60F05 60G60 PDF BibTeX XML Cite \textit{Z. Kabluchko} and \textit{Y. Wang}, Stochastic Processes Appl. 124, No. 9, 2824--2867 (2014; Zbl 1323.60074) Full Text: DOI arXiv OpenURL
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga Uniform convergence of compactly supported wavelet expansions of Gaussian random processes. (English) Zbl 1308.60041 Commun. Stat., Theory Methods 43, No. 10-12, 2549-2562 (2014). MSC: 60G15 42C40 60G10 PDF BibTeX XML Cite \textit{Y. Kozachenko} et al., Commun. Stat., Theory Methods 43, No. 10--12, 2549--2562 (2014; Zbl 1308.60041) Full Text: DOI arXiv OpenURL
Turchyn, Ievgen Simulation of a strictly sub-Gaussian random field. (English) Zbl 1295.65010 Stat. Probab. Lett. 92, 183-189 (2014). MSC: 65C50 60G60 PDF BibTeX XML Cite \textit{I. Turchyn}, Stat. Probab. Lett. 92, 183--189 (2014; Zbl 1295.65010) Full Text: DOI arXiv OpenURL
Troshki, Nataliya Construction models of Gaussian random processes with a given accuracy and reliability in \(L_p(T)\), \(p \geqslant 1\). (English) Zbl 1412.41021 J. Class. Anal. 3, No. 2, 157-165 (2013). MSC: 41A25 60F10 PDF BibTeX XML Cite \textit{N. Troshki}, J. Class. Anal. 3, No. 2, 157--165 (2013; Zbl 1412.41021) Full Text: DOI OpenURL
Giuliano Antonini, Rita; Hu, Tien-Chung; Kozachenko, Yuriy; Volodin, Andrei An application of \(\varphi\)-subgaussian technique to Fourier analysis. (English) Zbl 1334.42015 J. Math. Anal. Appl. 408, No. 1, 114-124 (2013). MSC: 42A61 42A20 60G15 60F05 60F15 PDF BibTeX XML Cite \textit{R. Giuliano Antonini} et al., J. Math. Anal. Appl. 408, No. 1, 114--124 (2013; Zbl 1334.42015) Full Text: DOI OpenURL
Kozachenko, Yu. V.; Mlavets’, Yu. Yu. The Banach spaces \(\mathbf{F}_\psi (\Omega )\) of random variables. (English. Ukrainian original) Zbl 1305.60025 Theory Probab. Math. Stat. 86, 105-121 (2013); translation from Teor. Jmovirn. Mat. Stat. 86, 92-107 (2012). Reviewer: Gianluca Cassese (Milano) MSC: 60G07 46E30 65C05 PDF BibTeX XML Cite \textit{Yu. V. Kozachenko} and \textit{Yu. Yu. Mlavets'}, Theory Probab. Math. Stat. 86, 105--121 (2013; Zbl 1305.60025); translation from Teor. Jmovirn. Mat. Stat. 86, 92--107 (2012) Full Text: DOI OpenURL
Buldygin, V. V.; Moskvichova, K. K. The sub-Gaussian norm of a binary random variable. (English. Ukrainian original) Zbl 1300.60063 Theory Probab. Math. Stat. 86, 33-49 (2013); translation from Teor. Jmovirn. Mat. Stat. 86, 28-42 (2012). MSC: 60G50 65B10 60G15 40A05 PDF BibTeX XML Cite \textit{V. V. Buldygin} and \textit{K. K. Moskvichova}, Theory Probab. Math. Stat. 86, 33--49 (2013; Zbl 1300.60063); translation from Teor. Jmovirn. Mat. Stat. 86, 28--42 (2012) Full Text: DOI OpenURL
Demaret, Laurent; Friedrich, Felix; Liebscher, Volkmar; Winkler, Gerhard Complexity \(L^0\)-penalized \(M\)-estimation: consistency in more dimensions. (English) Zbl 1296.41005 Axioms 2, No. 3, 311-344 (2013). MSC: 41A10 41A25 62G05 62G20 PDF BibTeX XML Cite \textit{L. Demaret} et al., Axioms 2, No. 3, 311--344 (2013; Zbl 1296.41005) Full Text: DOI arXiv OpenURL
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga Convergence rate of wavelet expansions of Gaussian random processes. (English) Zbl 1278.60071 Commun. Stat., Theory Methods 42, No. 21, 3853-3872 (2013). MSC: 60G15 60G10 42C40 PDF BibTeX XML Cite \textit{Y. Kozachenko} et al., Commun. Stat., Theory Methods 42, No. 21, 3853--3872 (2013; Zbl 1278.60071) Full Text: DOI arXiv OpenURL
Yamnenko, R. E. Bounds for the distribution of some functionals of processes with \(\varphi\)-sub-Gaussian increments. (English. Ukrainian original) Zbl 1274.60114 Theory Probab. Math. Stat. 85, 181-197 (2012); translation from Teor. Jmovirn. Mat. Stat. 85, 161-176 (2011). MSC: 60G07 60K25 60G22 PDF BibTeX XML Cite \textit{R. E. Yamnenko}, Theory Probab. Math. Stat. 85, 181--197 (2012; Zbl 1274.60114); translation from Teor. Jmovirn. Mat. Stat. 85, 161--176 (2011) Full Text: DOI OpenURL
Bratyk, M. V.; Kozachenko, Yu. V.; Mishura, Yu. S. Convergence of the maximum probability of success in the problem of quantile hedging for a model of an asset price process with long-range dependence. (English. Ukrainian original) Zbl 1274.91373 Theory Probab. Math. Stat. 84, 15-31 (2012); translation from Teor. Jmovirn. Mat. Stat. 84, 18-33 (2011). MSC: 91G10 60G22 PDF BibTeX XML Cite \textit{M. V. Bratyk} et al., Theory Probab. Math. Stat. 84, 15--31 (2012; Zbl 1274.91373); translation from Teor. Jmovirn. Mat. Stat. 84, 18--33 (2011) Full Text: DOI OpenURL
Shah, Parikshit; Chandrasekaran, Venkat Group symmetry and covariance regularization. (English) Zbl 1295.62023 Electron. J. Stat. 6, 1600-1640 (2012); erratum ibid. 7, 3057-3058 (2013). MSC: 62F12 62H12 20C15 PDF BibTeX XML Cite \textit{P. Shah} and \textit{V. Chandrasekaran}, Electron. J. Stat. 6, 1600--1640 (2012; Zbl 1295.62023) Full Text: DOI arXiv Euclid OpenURL
Davenport, Mark A.; Wakin, Michael B. Compressive sensing of analog signals using discrete prolate spheroidal sequences. (English) Zbl 1261.94016 Appl. Comput. Harmon. Anal. 33, No. 3, 438-472 (2012). MSC: 94A12 42C40 PDF BibTeX XML Cite \textit{M. A. Davenport} and \textit{M. B. Wakin}, Appl. Comput. Harmon. Anal. 33, No. 3, 438--472 (2012; Zbl 1261.94016) Full Text: DOI arXiv OpenURL
Durastanti, Claudio; Geller, Daryl; Marinucci, Domenico Adaptive nonparametric regression on spin fiber bundles. (English) Zbl 1270.62069 J. Multivariate Anal. 104, No. 1, 16-38 (2012). MSC: 62G08 62G20 62P35 65T60 PDF BibTeX XML Cite \textit{C. Durastanti} et al., J. Multivariate Anal. 104, No. 1, 16--38 (2012; Zbl 1270.62069) Full Text: DOI arXiv OpenURL
Ravikumar, Pradeep; Wainwright, Martin J.; Raskutti, Garvesh; Yu, Bin High-dimensional covariance estimation by minimizing \(\ell _{1}\)-penalized log-determinant divergence. (English) Zbl 1274.62190 Electron. J. Stat. 5, 935-980 (2011). MSC: 62F12 62F30 PDF BibTeX XML Cite \textit{P. Ravikumar} et al., Electron. J. Stat. 5, 935--980 (2011; Zbl 1274.62190) Full Text: DOI arXiv Euclid OpenURL
Yamnenko, R. E.; Shramko, O. S. On the distribution of storage processes from the class \(V(\varphi,\psi)\). (English. Russian original) Zbl 1241.90009 Theory Probab. Math. Stat. 83, 191-206 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 163-176 (2010). MSC: 90B05 60G07 60K25 PDF BibTeX XML Cite \textit{R. E. Yamnenko} and \textit{O. S. Shramko}, Theory Probab. Math. Stat. 83, 191--206 (2011; Zbl 1241.90009); translation from Teor. Jmovirn. Mat. Stat. 83, 163--176 (2010) Full Text: DOI OpenURL
Kozachenko, Yu. V.; Moklyachuk, O. M. Sample continuity and modeling of stochastic processes from the spaces \(D_{V,W}\). (English. Russian original) Zbl 1251.60030 Theory Probab. Math. Stat. 83, 95-110 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 80-91 (2010). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60G07 60G20 PDF BibTeX XML Cite \textit{Yu. V. Kozachenko} and \textit{O. M. Moklyachuk}, Theory Probab. Math. Stat. 83, 95--110 (2011; Zbl 1251.60030); translation from Teor. Jmovirn. Mat. Stat. 83, 80--91 (2010) Full Text: DOI OpenURL
Kartashov, Yu. M. Limit theorems for difference additive functionals. (English. Russian original) Zbl 1247.60118 Theory Probab. Math. Stat. 83, 83-94 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 69-79 (2010). Reviewer: Liliana Popa (Iaşi) MSC: 60J55 60J45 60F17 PDF BibTeX XML Cite \textit{Yu. M. Kartashov}, Theory Probab. Math. Stat. 83, 83--94 (2011; Zbl 1247.60118); translation from Teor. Jmovirn. Mat. Stat. 83, 69--79 (2010) Full Text: DOI OpenURL
Kamenshchikova, O. E.; Yanevich, T. O. An approximation of \(L_{p}(\Omega )\) processes. (English. Russian original) Zbl 1246.60052 Theory Probab. Math. Stat. 83, 71-82 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 59-68 (2010). MSC: 60G07 41A25 42A10 PDF BibTeX XML Cite \textit{O. E. Kamenshchikova} and \textit{T. O. Yanevich}, Theory Probab. Math. Stat. 83, 71--82 (2011; Zbl 1246.60052); translation from Teor. Jmovirn. Mat. Stat. 83, 59--68 (2010) Full Text: DOI OpenURL
Kozachenko, Yury V.; Rozora, Iryna V.; Turchyn, Yevgen V. Properties of some random series. (English) Zbl 1315.60040 Commun. Stat., Theory Methods 40, No. 19-20, 3672-3683 (2011). MSC: 60G12 60G15 PDF BibTeX XML Cite \textit{Y. V. Kozachenko} et al., Commun. Stat., Theory Methods 40, No. 19--20, 3672--3683 (2011; Zbl 1315.60040) Full Text: DOI OpenURL
Kozachenko, Yuriĭ V.; Sottinen, Tommi; Vasilik, Olga Lipschitz conditions for \(\mathrm{sub}_\phi(\Omega)\)-processes: applications to weakly self-similar processes with stationary increments. (English. Ukrainian original) Zbl 1232.60031 Theory Probab. Math. Stat. 82, 57-73 (2011); translation from Teor. Jmovirn. Mat. Stat. No. 82, 67-81. MSC: 60G17 60G18 60G22 PDF BibTeX XML Cite \textit{Y. V. Kozachenko} et al., Theory Probab. Math. Stat. 82, 57--73 (2011; Zbl 1232.60031); translation from Teor. Jmovirn. Mat. Stat. No. 82, 67--8 Full Text: DOI OpenURL
Kozachenko, Yuriĭ V.; Moklyachuk, O. M. Random processes in the spaces \({D_{V,W}}\). (English. Ukrainian original) Zbl 1232.60030 Theory Probab. Math. Stat. 82, 43-56 (2011); translation from Teor. Jmovirn. Mat. Stat. No. 82, 56-66. MSC: 60G07 PDF BibTeX XML Cite \textit{Y. V. Kozachenko} and \textit{O. M. Moklyachuk}, Theory Probab. Math. Stat. 82, 43--56 (2011; Zbl 1232.60030); translation from Teor. Jmovirn. Mat. Stat. No. 82, 56--6 Full Text: DOI OpenURL
Nguyen Tien Dung Fractional geometric mean-reversion processes. (English) Zbl 1215.60030 J. Math. Anal. Appl. 380, No. 1, 396-402 (2011). MSC: 60G22 60H07 60H05 PDF BibTeX XML Cite \textit{Nguyen Tien Dung}, J. Math. Anal. Appl. 380, No. 1, 396--402 (2011; Zbl 1215.60030) Full Text: DOI OpenURL
Kozachenko, Yuriy; Olenko, Andriy; Polosmak, Olga Uniform convergence of wavelet expansions of Gaussian random processes. (English) Zbl 1215.60026 Stochastic Anal. Appl. 29, No. 2, 169-184 (2011). MSC: 60G15 60G10 42C40 PDF BibTeX XML Cite \textit{Y. Kozachenko} et al., Stochastic Anal. Appl. 29, No. 2, 169--184 (2011; Zbl 1215.60026) Full Text: DOI arXiv OpenURL
Bianchi, Gabriele; Gardner, Richard J.; Kiderlen, Markus Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms. (English) Zbl 1283.42014 J. Am. Math. Soc. 24, No. 2, 293-343 (2011). MSC: 42B10 52A20 52B11 62H35 PDF BibTeX XML Cite \textit{G. Bianchi} et al., J. Am. Math. Soc. 24, No. 2, 293--343 (2011; Zbl 1283.42014) Full Text: DOI arXiv OpenURL
Amini, Arash A.; Wainwright, Martin J. High-dimensional analysis of semidefinite relaxations for sparse principal components. (English) Zbl 1173.62049 Ann. Stat. 37, No. 5B, 2877-2921 (2009). MSC: 62H25 90C90 62F12 65C60 60F10 PDF BibTeX XML Cite \textit{A. A. Amini} and \textit{M. J. Wainwright}, Ann. Stat. 37, No. 5B, 2877--2921 (2009; Zbl 1173.62049) Full Text: DOI arXiv OpenURL
Giuliano Antonini, Rita; Kozachenko, Yuriy; Volodin, Andrei Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables. (English) Zbl 1134.60021 J. Math. Anal. Appl. 338, No. 2, 1188-1203 (2008). MSC: 60F15 PDF BibTeX XML Cite \textit{R. Giuliano Antonini} et al., J. Math. Anal. Appl. 338, No. 2, 1188--1203 (2008; Zbl 1134.60021) Full Text: DOI OpenURL
Ferrando, Sebastian E.; Pyke, Randall Ideal denoising for signals in sub-Gaussian noise. (English) Zbl 1145.94010 Appl. Comput. Harmon. Anal. 24, No. 1, 1-13 (2008). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 94A11 94A12 93E10 93E11 60G35 62M20 PDF BibTeX XML Cite \textit{S. E. Ferrando} and \textit{R. Pyke}, Appl. Comput. Harmon. Anal. 24, No. 1, 1--13 (2008; Zbl 1145.94010) Full Text: DOI OpenURL
Beghin, L.; Kozachenko, Yu.; Orsingher, E.; Sakhno, L. On the solutions of linear odd-order heat-type equations with random initial conditions. (English) Zbl 1147.82328 J. Stat. Phys. 127, No. 4, 721-739 (2007). MSC: 82B30 PDF BibTeX XML Cite \textit{L. Beghin} et al., J. Stat. Phys. 127, No. 4, 721--739 (2007; Zbl 1147.82328) Full Text: DOI OpenURL
Giuliano Antonini, Rita; Hu, Tien-Chung; Volodin, Andrei On the concentration phenomenon for \(\varphi\)-subgaussian random elements. (English) Zbl 1094.60019 Stat. Probab. Lett. 76, No. 5, 465-469 (2006). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60F15 60F10 PDF BibTeX XML Cite \textit{R. Giuliano Antonini} et al., Stat. Probab. Lett. 76, No. 5, 465--469 (2006; Zbl 1094.60019) Full Text: DOI OpenURL
Kozachenko, Yu. V.; Leonenko, G. M. Extremal behavior of the heat random field. (English) Zbl 1115.60054 Extremes 8, No. 3, 191-205 (2005). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60G60 60G17 PDF BibTeX XML Cite \textit{Yu. V. Kozachenko} and \textit{G. M. Leonenko}, Extremes 8, No. 3, 191--205 (2005; Zbl 1115.60054) Full Text: DOI OpenURL
Kozachenko, Yuriy; Sottinen, Tommi; Vasylyk, Olga Simulation of weakly self-similar stationary increment \(\mathbf{Sub}_\varphi(\Omega)\)-processes: A series expansion approach. (English) Zbl 1082.60512 Methodol. Comput. Appl. Probab. 7, No. 3, 379-400 (2005). MSC: 60G18 60G15 68U20 33C10 PDF BibTeX XML Cite \textit{Y. Kozachenko} et al., Methodol. Comput. Appl. Probab. 7, No. 3, 379--400 (2005; Zbl 1082.60512) Full Text: DOI OpenURL