A note on comparisons among coherent systems with dependent components using signatures
By Jorge Navarro, José-María Ruiz, C. J. Sandoval. 2005
130 citations recorded by the source corpus.
Subfields: Applied Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/d6bae43b71bf9cd819bbf80aafdb15933a97eb6c
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In Applied Mathematics
In Statistics and Probability
- Jorge Navarro
- P. J. Hernandez
- Serkan Eryilmaz
- Moshe Shaked
- José-María Ruiz
- C. J. Sandoval
- Ioannis S. Triantafyllou
- Markos V. Koutras
Citations in the corpus
- Mean Residual Lifetimes of Consecutive-k-out-of-n Systems (2007, background): “…function φ and whose components have i.i.d. lifetimes, and if pD is the signature of the dual system, φD, then pi = pDn−i+1 for i = 1, 2, . . . , n. Navarro et al. (2005) (see also Navarro and Rychlik (2006)), proved that this representation holds for systems with possibly dependent components…”
- Mean residual life functions of finite mixtures, order statistics and coherent systems (2008, methodology): “In particular, from Proposition 3, we obtain that two coherent systems are mrl-ordered when the discrete distributions obtained from its signatures are hr-ordered and the k-out-of-n systems are mrl-ordered (see Navarro et al. 2005 ).”
- Properties of Coherent Systems with Dependent Components (2007, background): “( 2005 ) noted that this representation also holds for coherent systems with dependent components having exchangeable joint distribution.”
- Signature based analysis of m‐Consecutive‐k‐out‐of‐n: F systems with exchangeable components (2011, background): “[20] provided a sufficient condition for establishing a signature-based stochastic comparison of lifetimes of two reliability structures of the same order (consisting of exchangeable components), while Navarro et al.”
- Hazard rate ordering of order statistics and systems (2006, background): “Navarro et al. (2005) noted that (3.12) and (3.13) continue to hold when the components have an absolutely continuous, exchangeable joint distribution.”