Reliability and expectation bounds for coherent systems with exchangeable components
By Jorge Navarro, Tomasz Rychlik. 2007
181 citations recorded by the source corpus.
Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/a3d18d63b438e30a0aaf3373d9a4dd75a8c358dc
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Safety, Risk, Reliability and Quality
- Jorge Navarro
- Rafael Rubio
- Serkan Eryilmaz
- P. J. Hernandez
- C. J. Sandoval
- José-María Ruiz
- Francisco J. Samaniego
- Narayanaswamy Balakrishnan
In Statistics and Probability
- Jorge Navarro
- Rafael Rubio
- P. J. Hernandez
- Serkan Eryilmaz
- Ioannis S. Triantafyllou
- Markos V. Koutras
- C. J. Sandoval
- José-María Ruiz
Citations in the corpus
- Properties of Coherent Systems with Dependent Components (2007, background): “For dependent components, some bounds are given in Caraux and Gascuel (1992), David (1993), Rychlik (2001), Papadatos (2001), and Navarro and Rychlik (2007).”
- Mean residual life functions of finite mixtures, order statistics and coherent systems (2008, background): “Remark 4 The results on mixtures can also be applied to coherent systems with exchangeable components by using its representation as mixtures of k-out-of-n systems based on Samaniego’s signature given in Navarro et al. (2005) and Navarro and Rychlik (2007) .”
- Mean Residual Lifetimes of Consecutive-k-out-of-n Systems (2007, background): “(2005) and Navarro and Rychlik (2006), both representations hold for consecutive-/:-out-of-? systems if their component lifetimes have an absolutely continuous, exchangeable joint distribution.”
- Comparisons of coherent systems using stochastic precedence (2010, methodology): “To this purpose, several techniques have been proposed including comparisons of expected lifetimes (see Navarro and Rychlik 2007; Navarro and Rubio 2010; Tokarev and Borovkov 2010) or comparisons using stochastic orderings (see Kochar et al. 1999; Shaked and Suarez-Llorens 2003; Navarro et al. 200”
- Signature based analysis of m‐Consecutive‐k‐out‐of‐n: F systems with exchangeable components (2011, background): “Navarro and Rychlik [22] proved that the representation (1) also holds true when the lifetimes T1, T2, . . . , Tn have an absolutely continuous exchangeable distribution (this property had been mentioned earlier by Kochar et al. [14]).”