Reliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM Copula

Neama Salah Youssef Temraz

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Reliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM Copula

机译：多元FGM Copula服从Weibull分布的并行系统的可靠性当量因子

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This paper analyze a parallel system consisted of n dependent components with lifetimes follow Weibull distribution. FGM Copula in multivariate case is used to generate the reliability function of the original system. Reduction method is introduced to improve system reliability. Other methods of hot, cold and warm duplication are established to improve system reliability. An application using real time data is introduced to show the results and compare between different improvement methods.

机译：本文分析了一个由n个相关组件组成的并行系统，其寿命遵循Weibull分布。多变量情况下的FGM Copula用于生成原始系统的可靠性函数。引入减少方法以提高系统可靠性。建立了其他热，冷和热复制方法以提高系统可靠性。引入了使用实时数据的应用程序以显示结果并在不同的改进方法之间进行比较。

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来源
《American journal of applied sciences》 |2018年第1期|70-83|共14页
作者
Neama Salah Youssef Temraz;
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作者单位

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt;

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正文语种 eng
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关键词
FGM Copula; Reliability; Parallel System; Dependent Units; Probability Density Function; Distribution Function; Hazard Rate Function; Weibull Distribution; Cold Standby; Warm Standby; Hot Standby; Reduction Method; Equivalence Factors;

机译：FGM Copula;可靠性;并行系统附属单位;概率密度函数;分配功能;危害率功能;威布尔分布;冷待机;暖待机热备用;还原方法;等效因素;

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1. Reliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM Copula [J] . Temraz Neama Salah Youssef American journal of applied sciences . 2018,第1期

机译：多元FGM Copula服从Weibull分布的并行系统的可靠性当量因子
2. Reliability equivalence factors of a series-parallel system in Weibull distribution [J] . A. Odabas International mathematical forum . 2009,第17a20期

机译：Weibull分布中系列并行系统的可靠性等效因子
3. Reliability equivalence factors for a series-parallel system of components with exponentiated Weibull lifetimes [J] . Alghamdi Safar M., Percy David F. IMA Journal of Management Mathematics . 2017,第3期

机译：Weibull寿命指数化的组件串联-平行系统的可靠性当量因子
4. Constructing Multivariate Distributions with Generalized Marginals And t-Copulas [C] . Sarat C. Dass, Wenmei Huang, Mohana S. Muthuvalu International Conference on Fundamental and Applied Sciences . 2014

机译：用广义边缘和T-Copulas构建多变量分布
5. RELIABILITY ANALYSIS FOR NONREPAIRABLE SYSTEMS SUBJECT TO DORMANCY (WARRANTY, WEIBULL, COVARIATES). [D] . LANDERS, THOMAS LEE. 1985

机译：不可修复的系统在可靠性方面的可靠性分析（保修，威布尔，变种）。
6. Estimating Multivariate Discrete Distributions Using Bernstein Copulas [O] . Victor Fossaluza, Luís Gustavo Esteves, Carlos Alberto de Bragança Pereira 2018

机译：使用Bernstein Copulas估算多变量离散分布
7. Reliability equivalence factors for a series–parallel system of components with exponentiated Weibull lifetimes [O] . Alghamdi, SM, Percy, DF 2015

机译：Weibull寿命指数化的组件串联-并联系统的可靠性当量因子

Reliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM Copula

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