GENERALIZED CHEBYSHEV INEQUALITIES AND THEIR APPLICATION IN THE MATHEMATICAL THEORY OF RELIABILITY

L. S. Stoikova

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GENERALIZED CHEBYSHEV INEQUALITIES AND THEIR APPLICATION IN THE MATHEMATICAL THEORY OF RELIABILITY

机译：广义切比雪夫不等式及其在可靠度数学理论中的应用

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摘要

The paper considers a problem whose solution is generalized Chebyshev inequalities. Examples from the mathematical theory of reliability are given. General results and the results obtained by the author are briefly reviewed. A new problem for further research in this field is formulated.

机译：本文考虑了一个问题，其解决方案是广义切比雪夫不等式。给出了可靠性数学理论的例子。简要回顾了一般结果和作者获得的结果。提出了在该领域进一步研究的新问题。

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来源
《Cybemetics and Systems Analysis》 |2010年第3期|P.472-476|共5页
作者
L. S. Stoikova;
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作者单位

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
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关键词
generalized Chebyshev inequalities; extreme step distribution functions; linear functionals in reliability theory; partition of parameter domain;

机译：广义切比雪夫不等式;极端的阶跃分布函数;可靠性理论中的线性泛函;参数域的划分;

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1. GENERALIZED CHEBYSHEV INEQUALITIES WITH APPLICATIONS [J] . Marwan A Kutbi, Nawab Hussain, Arif Rafiq, Journal of computational analysis and applications . 2014,第4期

机译：广义切比雪夫不等式及其应用
2. Generalizations of Szokefalvi Nagy and Chebyshev inequalities with applications in spectral graph theory [J] . Gutman Ivan, Das Kinkar Ch., Furtula Boris, Applied mathematics and computation . 2017,第期

机译：Szokefalvi Nagy和Chebyshev在光谱图理论中的应用概括
3. Degree theory for generalized variational inequalities and applications [J] . Kien BT, Wong MM, Wong NC, European Journal of Operational Research . 2009,第3期

机译：广义变分不等式的度理论及其应用
4. Chebyshev Type Inequalities for Generalized Stochastic Fractional Integrals [C] . Hüseyin Budak, Mehmet Zeki SARIKAYA, Zoubir DAHMANI International Conference on Advances in Natural and Applied Sciences . 2017

机译：Chebyshev型概要为广义随机分数积分
5. Reliability of a patient classification system: An application of generalizability theory. [D] . McDaniel, Anna Marie Manley. 1991

机译：患者分类系统的可靠性：泛化理论的应用。
6. Application of Generalizability Theory in Estimating the Reliability of Ankle-Complex Laxity Measurement [O] . Robert J Heitman, John E Kovaleski, Steven F Pugh 2009

机译：概化理论在踝关节松弛度测量的可靠性评估中的应用
7. New extensions of Chebyshev type inequalities using generalized Katugampola integrals via Polya-Szegö inequality [O] . Erhan Set, Zoubir Dahmani, İlker Mumcu 2018

机译：Chebyshev型不等式的新扩展使用Generalized Katugiskola通过Polya-Szegö不等式
8. Some Results on Generalized Unimodality and an Application to Chebyshev's Inequality [R] . Dharmadhikari, S. W., Joag-Dev, K. 1986

机译：关于广义单峰的一些结果及其对Chebyshev不等式的一个应用

GENERALIZED CHEBYSHEV INEQUALITIES AND THEIR APPLICATION IN THE MATHEMATICAL THEORY OF RELIABILITY

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