Properties of Coherent Systems with Dependent Components
By Jorge Navarro, José-María Ruiz, C. J. Sandoval. 2007
188 citations recorded by the source corpus.
Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/e2aecdc87795d1dc3bb64ab1913eccc2a47ae0b3
How researchers see this paper
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In Safety, Risk, Reliability and Quality
- Jorge Navarro
- Francisco J. Samaniego
- Narayanaswamy Balakrishnan
- Rafael Rubio
- Moshe Shaked
- Serkan Eryilmaz
- P. J. Hernandez
In Statistics and Probability
- Jorge Navarro
- Narayanaswamy Balakrishnan
- Francisco J. Samaniego
- Rafael Rubio
- Serkan Eryilmaz
- P. J. Hernandez
- Moshe Shaked
- Fabio Spizzichino
Citations in the corpus
- The Joint Signature of Coherent Systems with Shared Components (2010, unknown): “[5] obtained representations similar to (1.”
- Mixture Representations of Residual Lifetimes of Used Systems (2008, background): “4) that is, its domination vector is a = (0, 2, −1); see [9].”
- Hazard rate ordering of order statistics and systems (2006, background): “Under the above assumption of exchangeability, it has been noted (see Navarro et al. (2004)) that the survival function, F,ofT can be expressed as a linear combination of the survival functions, F(i,/), of X(i:z), i = 1,2,.”
- Signature based analysis of m‐Consecutive‐k‐out‐of‐n: F systems with exchangeable components (2011, background): “[21] proved that any coherent system could be written as a generalized mixture of series or parallel systems.”
- Comparisons of coherent systems using stochastic precedence (2010, methodology): “These techniques can be applied using the concepts of signature and minimal signatures (dominance) of a coherent system (see Samaniego 1985, 2007; Navarro et al. 2007).”
- Comparisons of series and parallel systems with components sharing the same copula (2010, background): “From [30], we know that the reliability function of a coherent system can be written as a linear combination of the reliability functions of the series systems obtained from its component lifetimes.”
- Mean residual life functions of finite mixtures, order statistics and coherent systems (2008, background): “Agrawal and Barlow (1984 )( see alsoNavarro and Shaked 2006 or Navarro et al. 2007a, b) showing that any coherent system is a generalized mixture of series systems, i.e.”
- Signature-based representations for the reliability of systems with heterogeneous components (2011, background): “Hence, it follows from the inclusion-exclusion formula (see [1] and [19]) that the reliability function of the system can be expressed as”