Kushnir, O. O.; Kushnir, V. P. Estimation of the time to failure distribution function in a highly reliable \(N -1\)-out-of-\(N: G\) repairable system in the case of exponential distributions of the uptime intervals of all alternating processes. (English. Ukrainian original) Zbl 07879514 Cybern. Syst. Anal. 60, No. 3, 456-461 (2024); translation from Kibern. Sist. Anal. 60, No. 3, 135-140 (2024). MSC: 60K15 PDFBibTeX XMLCite \textit{O. O. Kushnir} and \textit{V. P. Kushnir}, Cybern. Syst. Anal. 60, No. 3, 456--461 (2024; Zbl 07879514); translation from Kibern. Sist. Anal. 60, No. 3, 135--140 (2024) Full Text: DOI
Kushnir, O. O.; Kushnir, V. P. Properties of a highly reliable system with duplication and exponential failure-free periods of one of the alternating processes. (English. Ukrainian original) Zbl 1450.60050 Theory Probab. Math. Stat. 100, 133-140 (2020); translation from Teor. Jmovirn. Mat. Stat. 100, 123-130 (2019). MSC: 60K20 90B25 PDFBibTeX XMLCite \textit{O. O. Kushnir} and \textit{V. P. Kushnir}, Theory Probab. Math. Stat. 100, 133--140 (2020; Zbl 1450.60050); translation from Teor. Jmovirn. Mat. Stat. 100, 123--130 (2019) Full Text: DOI
Kushnir, O. O.; Kushnir, V. P. Properties of highly reliable systems with protection in the case of Poisson renewal process. (English. Ukrainian original) Zbl 1402.60116 Theory Probab. Math. Stat. 96, 127-132 (2018); translation from Teor. Jmovirn. Mat. Stat. 96, 125-130 (2016). MSC: 60K20 90B25 PDFBibTeX XMLCite \textit{O. O. Kushnir} and \textit{V. P. Kushnir}, Theory Probab. Math. Stat. 96, 127--132 (2018; Zbl 1402.60116); translation from Teor. Jmovirn. Mat. Stat. 96, 125--130 (2016) Full Text: DOI
Kushnir, O. O. A logarithmic lower estimate for the mathematical expectation of the first failure moment of a higher-reliable system with protection in a nonstationary regime. (Ukrainian, English) Zbl 1026.60101 Teor. Jmovirn. Mat. Stat. 65, 104-109 (2001); translation in Theory Probab. Math. Stat. 65, 115-122 (2002). MSC: 60K05 60K10 PDFBibTeX XMLCite \textit{O. O. Kushnir}, Teor. Ĭmovirn. Mat. Stat. 65, 104--109 (2001; Zbl 1026.60101); translation in Theory Probab. Math. Stat. 65, 115--122 (2002)
Kushnir, O. O. A quantitative lower estimate for the expectation of the first failure moment of a high reliable system with protection in a nonstationary regime. (English. Ukrainian original) Zbl 0985.60079 Theory Probab. Math. Stat. 61, 95-100 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 91-96 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60K05 60K10 60K20 PDFBibTeX XMLCite \textit{O. O. Kushnir}, Teor. Ĭmovirn. Mat. Stat. 61, 91--96 (2000; Zbl 0985.60079); translation from Teor. Jmovirn. Mat. Stat. 61, 91--96 (2000)
Kushnir, O. O. Estimates and convergence for the probability of \(\varepsilon\)-approach of two independent renewal processes. (English. Ukrainian original) Zbl 0955.60081 Theory Probab. Math. Stat. 60, 125-130 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 112-117 (1999). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60K05 60K10 PDFBibTeX XMLCite \textit{O. O. Kushnir}, Teor. Ĭmovirn. Mat. Stat. 60, 112--117 (1999; Zbl 0955.60081); translation from Teor. Jmovirn. Mat. Stat. 60, 112--117 (1999)
Kushnir, O. O. The first failure of a highly reliable system of two elevators. (English. Ukrainian original) Zbl 0958.60084 Theory Probab. Math. Stat. 59, 113-120 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 110-116 (1998). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60K10 90B25 60K20 PDFBibTeX XMLCite \textit{O. O. Kushnir}, Teor. Ĭmovirn. Mat. Stat. 59, 110--116 (1998; Zbl 0958.60084); translation from Teor. Jmorvirn. Mat. Stat. 59, 110--116 (1998)
Kushnir, O. O. A study of a highly reliable system with protection by the Rényi theorem. (English. Ukrainian original) Zbl 0923.60092 Theory Probab. Math. Stat. 55, 121-128 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 117-124 (1996). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60K10 90B25 PDFBibTeX XMLCite \textit{O. O. Kushnir}, Teor. Ĭmovirn. Mat. Stat. 55, 117--124 (1996; Zbl 0923.60092); translation from Teor. Jmovirn. Mat. Stat. 55, 117--124 (1996)
Kushnir, O. O. Estimates for the convergence rate of the distribution function of the refusal moment in the high-reliable system GI/G/I/0. (English. Ukrainian original) Zbl 0946.60082 Theory Probab. Math. Stat. 52, 105-107 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 99-101 (1995). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60K10 62K25 90B25 PDFBibTeX XMLCite \textit{O. O. Kushnir}, Teor. Ĭmovirn. Mat. Stat. 52, 99--101 (1995; Zbl 0946.60082); translation from Teor. Jmovirn. Mat. Stat. 52, 99--101 (1995)
Kushnir, O. O. On the asymptotic behavior of the distribution of a refusal moment in the \(GI| GI| 2| 0\) system. (English. Russian original) Zbl 0835.60081 Theory Probab. Math. Stat. 47, 77-81 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 75-80 (1992). MSC: 60K25 60F99 PDFBibTeX XMLCite \textit{O. O. Kushnir}, Theory Probab. Math. Stat. 47, 1 (1992; Zbl 0835.60081); translation from Teor. Jmovirn. Mat. Stat. 47, 75--80 (1992)