The influence of using additional information on the mean square errors of modified nonparametric estimators of the reliability function characteristics of a non-recoverable element is studied at a finite size of observations of the failure time. Illustrative examples are given.
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K. V. Syzrantseva, Russ. Eng. Res., 29, 1206–1208 (2009); DOI: https://doi.org/10.3103/S1068798X09120028.
K. Syzrantseva and V. Syzrantsev, Key Eng. Mater., 736, 52–57 (2017); DOI: https://doi.org/10.4028/www.scientific.net/KEM.736.52.
V. Syzrantsev and K. Syzrantseva, J. Eng. Appl. Sci., 11, 204–209 (2016).
V. A. Vaal and G. M. Koshkin, Russ. Phys. J., 58, No. 3, 362–366 (1999).
V. A. Vaal and G. M. Koshkin, in: Proc. 3rd Russian-Korean Int. Symp. on Science and Technology KORUS, Novosibirsk (1999), pp. 496–500.
A. V. Kitaeva and G. M. Koshkin, Autom. Telemech., No. 5, 202–214 (1997).
I. Fuks and G. Koshkin, The Int. Conf. on Information and Digital Technologies (IDT 2015), Zilina (2015), pp. 84–89; DOI: https://doi.org/10.1109/DT.2015.7222955.
I. Fuks and G. Koshkin, The Int. Conf. on Information and Digital Technologies (IDT 2016), Rzeszov (2016), pp. 144–149.
G. M. Koshkin, Russ. Phys. J, 57, No. 5, 672–681 (2014).
G. M. Koshkin, Russ. Phys. J., 58, No. 7, 1018–1025 (2015).
G. M. Koshkin, Russ. Phys. J., 59, No. 6, 833–844 (2016).
Yu. G. Dmitriev and Yu. K. Ustinov, Statistical Estimation of Probability Distributions with the Use of Additional Information [in Russian], Publishing House of Tomsk State University, Tomsk (1988).
Yu. G. Dmitriev and P. F. Tarasenko, Russ. Phys. J., 35, No. 9, 888–893 (1992).
O. N. Golovchiner and Yu. G. Dmitriev, Tomsk State Univ. J., Suppl., No. 9 (11), 145–150 (2004).
Yu. G. Dmitriev and S. V. Skripin, Tomsk State Univ. J. Control and Computer Sci., No. 4, 32–38 (2012).
Yu. Dmitriev, P. Tarasenko, and Yu. Ustinov, in: XIIIth Int. Sci.-Res. Practice Conf. named after A. F. Terpugov “Information Technologies and Mathematical Modeling (IТММ-2014),” Anzhero-Sudzhensk, Commun. Computer Inform. Sci., Springer Int. Publ., Switzerland, 487 (2014), pp. 82–90.
Yu. Dmitriev and P. Tarasenko, in: Proc. Int. Workshop “Applied Methods of Statistical Analysis. Nonparametric Approach (AMSA-2015),” Novosibirsk (2015), pp. 49–55.
Yu. Dmitriev and G. Koshkin, in: Proc. Int. Workshop “Applied Methods of Statistical Analysis. Nonparametric Methods in Cybernetics and System Analysis (AMSA-2017),” Krasnoyarsk (2017), pp. 9–18.
Yu. Dmitriev, F. Tarasenko, and P. Tarasenko, in: Proc. Int. Workshop “Applied Methods of Statistical Analysis. Nonparametric Methods in Cybernetics and System Analysis (AMSA-2017),” Krasnoyarsk, (2017), pp. 262–269.
Yu. G. Dmitriev and T. O. Koshevaya, Izv. Vyssh. Uchebn. Zaved. Fiz., 58, No. 11/2, 242–246 (2015).
E. V. Belaya, Yu. G. Dmitriev, and A. I. Logvinova, Izv. Vysh. Uchebn. Zaved. Fiz., 58, No. 11/2, 230–235 (2015).
Yu. G. Dmitriev and T. O. Koshevaya, Izv. Vyssh Uchebn. Zaved. Fiz., 59, No. 8/2, 25–28 (2016).
Yu. G. Dmitriev and G. M. Koshkin, Russ. Phys. J., 61, No. 12, 2197–2208 (2018).
B. Ya. Levit, Probl. Inform. Transfer, 11, No. 4, 39–54 (1975).
Yu. G. Dmitriev, in: Mathematical Statistics and Its Applications, Issue 4 [in Russian], Publishing House of Tomsk State University, Tomsk (1976), pp. 63–76.
Yu. G. Dmitriev, in: Mathematical Modeling and Probability Theory: Collection of Scientific Works [in Russian], Publishing House of Tomsk State University, Tomsk (1998), pp. 178–184.
Yu. G. Dmitriev, in: Mathematical Modelling and Probability Theory: Collection of Scientific Works [in Russian], Publishing House of Tomsk State University, Tomsk (1998), pp. 169–177.
Yu. G. Dmitriev, Obozr. Prikl. Prom. Matem., 8, No. 1, 159–160 (2001).
Yu. Dmitriev and G. Koshkin, Stat. Pap., 59, No. 4, 1559–1575 (2018); DOI: https://doi.org/10.1007/s00362-018-1044-7.
V. S. Korolyuk and Yu. V. Borovskikh, Theory of U-Statistics [in Russian], Naukova Dumka, Kiev (1981).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 82–88, April, 2019.
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Dmitriev, Y.G., Koshkin, G.M. Influence of Using Additional Information on the Accuracy of Estimation of the Reliability Function Characteristics at a Finite Size of Observations. Russ Phys J 62, 649–657 (2019). https://doi.org/10.1007/s11182-019-01759-z
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DOI: https://doi.org/10.1007/s11182-019-01759-z