On the weak IFR aging of bivariate lifetime distributions

Maxim Finkelstein; Veronica Esaulova

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On the weak IFR aging of bivariate lifetime distributions

机译：关于双变量寿命分布的弱IFR老化

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摘要

A new notion of bivariate aging in a competitive risk framework is introduced. Aging properties of bivariate distributions are defined by aging properties of a series system with possibly dependent components. A case of exponential marginals is considered. Sufficient conditions for a weak IFR aging (weak DFR negative aging) are derived and a number of simple examples are considered.

机译：引入了竞争风险框架中的双变量老龄化的新概念。双变量分布的老化属性由具有可能依赖的组件的串联系统的老化属性定义。考虑指数边际的情况。得出了IFR衰弱（DFR负衰弱）的充分条件，并考虑了许多简单的例子。

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《Applied stochastic models in business and industry》 |2005年第3期|共8页
作者
Maxim Finkelstein; Veronica Esaulova;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Bivariate failure rate; Weak IFR aging; Exponential representation; Exponential marginals; Copula;

机译：双变量故障率;弱IFR老化;指数表示;指数边际;Copula;

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专利

1. On the weak IFR aging of bivariate lifetime distributions [J] . Maxim Finkelstein, Veronica Esaulova Applied stochastic models in business and industry . 2005,第3期

机译：关于双变量寿命分布的弱IFR老化
2. Modelling lifetimes with bivariate Schur-constant equilibrium distributions from renewal theory [J] . N. Unnikrishnan Nair, P. G. Sankaran Metron . 2014,第3期

机译：根据更新理论使用双变量Schur常数平衡分布对寿命进行建模
3. BIVARIATE LIFETIME DISTRIBUTIONS AND OPTIMAL STOPPING [J] . Heinrich G., Jensen U. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s3期

机译：终身寿命分配和最佳停止
4. Bivariate pearson distributions for remote sensing images [C] . Chabert M., Tourneret J.-Y. 2011 IEEE International Geoscience Remote Sensing Symposium . 2011

机译：用于遥感影像的双变量梨森分布
5. Latent failures and mixed distributions: Using mixed distributions and cost modeling to optimize the management of systems with weak latent defect subpopulations [D] . Touw, Anduin E. 2008

机译：潜在故障和混合分布：使用混合分布和成本建模来优化具有弱潜在缺陷子群的系统的管理
6. Bivariate mixture models for the joint distribution of repeated serum ferritin and transferrin saturation measured 12 years apart in a cohort of healthy middle-aged Australians [O] . Christine E. McLaren, Wen-Pin Chen, Nadine A. Bertalli, 2019

机译：双重血清铁蛋白的关节分布和转铁蛋白饱和度的双变型混合物模型在健康的中年澳大利亚群组中相隔12年
7. Use of Graphical Methods in The Diagnostic Of Parametric Probability Distributions for Bivariate Lifetime Data in Presence of Censored Data [O] . Jorge Alberto Achcar, Jose Rafael Tovar Cuevas, Fernando A. Moala 2021

机译：在诊断数据中使用图形方法在参数概率分布的诊断中存在截取数据
8. Moving Average Models with Bivariate Exponential and Geometric Distributions. [R] . Langberg, N. A., Stoffer, D. S. 1985

机译：具有二元指数和几何分布的移动平均模型。

On the weak IFR aging of bivariate lifetime distributions

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