Hazard rate ordering of order statistics and systems
By Jorge Navarro, Moshe Shaked. Journal of Applied Probability, 2006
79 citations recorded by the source corpus.
Subfields: Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/c5f5c5df9a2042ab03c2c682ae4566530fd4f8f7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Management Science and Operations Research
- Narayanaswamy Balakrishnan
- Francisco J. Samaniego
- Rafael Rubio
- Serkan Eryilmaz
- Jorge Navarro
- Debasis Kundu
- Gauss Moutinho Cordeiro
In Statistics and Probability
- Jorge Navarro
- Narayanaswamy Balakrishnan
- Francisco J. Samaniego
- Rafael Rubio
- Serkan Eryilmaz
- Debasis Kundu
- Gauss Moutinho Cordeiro
- Biswabrata Pradhan
Citations in the corpus
- Mean Residual Lifetimes of Consecutive-k-out-of-n Systems (2007, background): “Navarro and Shaked (2006) proved that T1:k ≥hr T1:k+1 and Tk:k ≤hr Tk+1:k+1 are in general not true for exchangeable distributions.”
- Comparisons of coherent systems using stochastic precedence (2010, background): “Some properties of generalized mixtures can be seen in Navarro and Shaked (2006) , Navarro and Hernandez (2008), Navarro et al. (2009), and in the references therein.”
- Likelihood ratio ordering of order statistics, mixtures and systems (2008, methodology): “A well known property of positive mixtures is that the hazard rate of the mixture has (under some regularity conditions) the same (in different senses) limiting behaviour when t → ∞ as that of the hazard rate of the strongest member of the mixture in the hazard rate order (see Block and Joe, 1997; M”
- Mixture Representations of Residual Lifetimes of Used Systems (2008, background): “they have the same law as t → ∞); see [7], [8], and [11] for analogous results based on the hazard rate and mean residual life functions.”
- Signature-based representations for the reliability of systems with heterogeneous components (2011, background): “Hence, the asymptotic behavior (when t → ∞) of the ageing measures of T can be determined from the results established in [12], [13], and [16].”
- Parallel and k-out-of-n: G systems with nonidentical components and their mean residual life functions (2009, unknown): “For the recent results on the MRL functions of k-out-of-n systems one can see Khaledi and Shaked [1], Navarro and Shaked [2], Navarro and Eryilmaz [3], Hu et al. [4].”