Yarovoj, L.; Stepakhno, I. The increase of laser Doppler vibrometer sensitivity. (Ukrainian. English summary) Zbl 1224.78043 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 21, 49-53 (2009). MSC: 78A60 PDFBibTeX XMLCite \textit{L. Yarovoj} and \textit{I. Stepakhno}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 21, 49--53 (2009; Zbl 1224.78043)
Stepakhno, V. I.; Ruzhilo, M. Ya. On samples of independent random vectors in spaces of infinitely increasing dimension. (English. Russian original) Zbl 0945.60006 Ukr. Math. J. 50, No. 12, 1945-1951 (1998); translation from Ukr. Mat. Zh. 50, No. 12, 1706-1711 (1998). Reviewer: V.A.Gasanenko (Kyïv) MSC: 60C05 60F99 PDFBibTeX XMLCite \textit{V. I. Stepakhno} and \textit{M. Ya. Ruzhilo}, Ukr. Mat. Zh. 50, No. 12, 1706--1711 (1998; Zbl 0945.60006); translation from Ukr. Mat. Zh. 50, No. 12, 1706--1711 (1998) Full Text: DOI
Stepakhno, V. I. Observations of random vectors in a space of infinitely increasing dimension. (English) Zbl 0842.60035 Random Oper. Stoch. Equ. 1, No. 2, 129-149 (1993). MSC: 60F99 60B99 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Random Oper. Stoch. Equ. 1, No. 2, 129--149 (1993; Zbl 0842.60035) Full Text: DOI
Stepakhno, I. V. On the sufficient conditions in the limit theorem for singular spectral functions of random matrices. (English) Zbl 0842.60034 Random Oper. Stoch. Equ. 1, No. 1, 69-80 (1993). MSC: 60F99 15B52 PDFBibTeX XMLCite \textit{I. V. Stepakhno}, Random Oper. Stoch. Equ. 1, No. 1, 69--80 (1993; Zbl 0842.60034) Full Text: DOI
Stepakhno, V. I. Empirical correlation operator and many-dimensional Hermite polynomials. (English. Russian original) Zbl 0812.60012 Ukr. Math. J. 45, No. 6, 964-969 (1993); translation from Ukr. Mat. Zh. 45, No. 6, 871-875 (1993). Reviewer: A.M.Mathai (Montreal) MSC: 60B12 60H25 33C45 33C50 62H99 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Ukr. Math. J. 45, No. 6, 964--969 (1993; Zbl 0812.60012); translation from Ukr. Mat. Zh. 45, No. 6, 871--875 (1993) Full Text: DOI
Girko, V. L.; Stepakhno, I. V. The asymptotics of Stieltjes transforms of singular spectral functions. (English. Russian original) Zbl 0834.62018 Theory Probab. Math. Stat. 46, 39-45 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 42-50 (1992). MSC: 62E20 62H10 15A18 15B51 PDFBibTeX XMLCite \textit{V. L. Girko} and \textit{I. V. Stepakhno}, Theory Probab. Math. Stat. 46, 1 (1992; Zbl 0834.62018); translation from Teor. Jmovirn. Mat. Stat. 46, 42--50 (1992)
Skorokhod, A. V.; Stepakhno, V. I. Asymptotic properties of the correlation operator for the multivariate random vectors. (English) Zbl 0817.60017 Shiryaev, A. N. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 363-367 (1992). MSC: 60F05 60H05 60G15 PDFBibTeX XMLCite \textit{A. V. Skorokhod} and \textit{V. I. Stepakhno}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 363--367 (1992; Zbl 0817.60017)
Stepakhno, V. I. Sets of independent vectors in spaces of infinitely increasing dimension. (English. Russian original) Zbl 0779.60006 Ukr. Math. J. 44, No. 5, 624-629 (1992); translation from Ukr. Mat. Zh. 44, No. 5, 691-696 (1992). Reviewer: N.G.Gamkrelidze (Moskva) MSC: 60B12 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Ukr. Math. J. 44, No. 5, 624--629 (1992; Zbl 0779.60006); translation from Ukr. Mat. Zh. 44, No. 5, 691--696 (1992) Full Text: DOI
Stepakhno, V. I. Sets of independent vectors in spaces of infinitely increasing dimension. (English. Russian original) Zbl 0782.60014 Ukr. Math. J. 44, No. 5, 624-629 (1992); translation from Ukr. Mat. Zh. 44, No. 5, 691-696 (1992). MSC: 60B12 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Ukr. Math. J. 44, No. 5, 624--629 (1992; Zbl 0782.60014); translation from Ukr. Mat. Zh. 44, No. 5, 691--696 (1992) Full Text: DOI
Stepakhno, V. I. On large samplings of observations of random vectors of large dimension. (Russian) Zbl 0742.60033 Ukr. Mat. Zh. 43, No. 10, 1413-1418 (1991). Reviewer: V.I.Stepakhno (Kiev) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Ukr. Mat. Zh. 43, No. 10, 1413--1418 (1991; Zbl 0742.60033) Full Text: DOI
Skorokhod, A. V.; Stepakhno, V. I. On some empiric characteristic of the multidimensional normal distribution. (Russian) Zbl 0733.60049 Teor. Veroyatn. Primen. 36, No. 2, 386-391 (1991). Reviewer: Z.Jurek (Wrocław) MSC: 60F15 60E05 PDFBibTeX XMLCite \textit{A. V. Skorokhod} and \textit{V. I. Stepakhno}, Teor. Veroyatn. Primen. 36, No. 2, 386--391 (1991; Zbl 0733.60049)
Skorokhod, A. V.; Stepakhno, V. I. On some empirical properties of a multidimensional normal law. (English. Russian original) Zbl 0774.60039 Theory Probab. Appl. 36, No. 2, 405-411 (1991); translation from Teor. Veroyatn. Primen. 36, No. 2, 386-391 (1991). MSC: 60F15 60E05 PDFBibTeX XML Full Text: DOI
Stepakhno, V. I. Large samples of observations of random vectors of large dimension. (English. Russian original) Zbl 0786.60035 Ukr. Math. J. 43, No. 10, 1310-1314 (1991); translation from Ukr. Mat. Zh. 43, No. 10, 1413-1418 (1991). MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Ukr. Math. J. 43, No. 10, 1310--1314 (1991; Zbl 0786.60035); translation from Ukr. Mat. Zh. 43, No. 10, 1413--1418 (1991) Full Text: DOI
Girko, V. L.; Stepakhno, I. V. G\({}_{28}\)-estimates of singular eigenvalues of matrices. (Russian. English summary) Zbl 0734.62037 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 8, 15-18 (1990). MSC: 62F99 62F10 15B52 PDFBibTeX XMLCite \textit{V. L. Girko} and \textit{I. V. Stepakhno}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 8, 15--18 (1990; Zbl 0734.62037)
Skorokhod, A. V.; Stepakhno, V. I. Generalization of Hermite polynomials. (English. Russian original) Zbl 0727.33004 Ukr. Math. J. 42, No. 11, 1366-1370 (1990); translation from Ukr. Mat. Zh. 42, No. 11, 1524-1528 (1990). Reviewer: P.Maślanka (Łódź) MSC: 33C50 PDFBibTeX XMLCite \textit{A. V. Skorokhod} and \textit{V. I. Stepakhno}, Ukr. Math. J. 42, No. 11, 1366--1370 (1990; Zbl 0727.33004); translation from Ukr. Mat. Zh. 42, No. 11, 1524--1528 (1990) Full Text: DOI
Girko, V. L.; Stepakhno, I. V. Bounds for the Stieltjes transform of spectral functions of singular eigenvalues. (English. Russian original) Zbl 0721.62036 Ukr. Math. J. 42, No. 4, 410-413 (1990); translation from Ukr. Mat. Zh. 42, No. 4, 464-469 (1990). MSC: 62G05 PDFBibTeX XMLCite \textit{V. L. Girko} and \textit{I. V. Stepakhno}, Ukr. Math. J. 42, No. 4, 410--413 (1990; Zbl 0721.62036); translation from Ukr. Mat. Zh. 42, No. 4, 464--469 (1990) Full Text: DOI
Skorokhod, A. V.; Stepakhno, V. I. A central limit theorem for Hermitian polynomials of independent Gaussian variables. (English. Russian original) Zbl 0721.60017 Ukr. Math. J. 42, No. 12, 1515-1521 (1990); translation from Ukr. Mat. Zh. 42, No. 12, 1681-1686 (1990). Reviewer: N.G.Gamkrelidze (Moskva) MSC: 60F05 PDFBibTeX XMLCite \textit{A. V. Skorokhod} and \textit{V. I. Stepakhno}, Ukr. Math. J. 42, No. 12, 1515--1521 (1990; Zbl 0721.60017); translation from Ukr. Mat. Zh. 42, No. 12, 1681--1686 (1990) Full Text: DOI
Girko, V. L.; Stepakhno, I. V. Estimate of the Stieltjes transform of spectral functions of singular eigenvalues. (Russian) Zbl 0699.62042 Ukr. Mat. Zh. 42, No. 4, 464-469 (1990). Reviewer: A.Spătaru MSC: 62G05 PDFBibTeX XMLCite \textit{V. L. Girko} and \textit{I. V. Stepakhno}, Ukr. Mat. Zh. 42, No. 4, 464--469 (1990; Zbl 0699.62042) Full Text: DOI
Stepakhno, V. I. Linear methods for distinguishing the hypotheses on the spectrum of stationary Gaussian sequences. (Russian) Zbl 0601.62117 Stochastic processes. Theory and practice, Collect. sci. Works, Kiev 1985, 101-115 (1985). Reviewer: J.Tóth MSC: 62M15 62M07 60G15 PDFBibTeX XML
Stepakhno, V. I. Linear distinguishability of hypotheses on the spectrum of a stationary process. (English) Zbl 0506.62075 Theory Probab. Math. Stat. 25, 153-161 (1982). MSC: 62M15 62M07 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Theory Probab. Math. Stat. 25, 153--161 (1982; Zbl 0506.62075)
Stepakhno, V. I. Linear methods for discriminating between hypotheses about correlation functions of random processes. (English) Zbl 0506.62066 Theory Probab. Math. Stat. 24, 153-157 (1982). MSC: 62M07 62M15 62J99 62H30 PDFBibTeX XMLCite \textit{V. I. Stepakhno}, Theory Probab. Math. Stat. 24, 153--157 (1982; Zbl 0506.62066)
Stepakhno, V. I. Linear methods of distinguishing hypotheses about correlation functions of stochastic processes. (Russian) Zbl 0479.62066 Teor. Veroyatn. Mat. Stat. 24, 135-140 (1981). MSC: 62M07 62H30 62M15 PDFBibTeX XML
Stepakhno, V. I. Linear distinguishability of hypotheses on the spectrum of a stationary process. (Russian) Zbl 0471.62087 Teor. Veroyatn. Mat. Stat. 25, 140-148 (1981). MSC: 62M07 62M15 60G10 PDFBibTeX XML