New results on comparisons of parallel systems with heterogeneous gamma components
By Peng Zhao, Narayanaswamy Balakrishnan. 2011
57 citations recorded by the source corpus.
This paper discusses ordering properties of lifetimes of parallel systems with two independent heterogeneous gamma components in terms of dispersive and star orders. It is proved, among others, that the p-larger order between the two scale vectors implies the dispersive order and the star order between lifetimes of two parallel systems. Another sufficient condition is also provided for the star order between the lifetimes of two parallel systems. The results established here extend some of the known results in the literature.
Subfields: Applied Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/563fddfaf8d21f03f988f5388bfd0cb62ba24047
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In Applied Mathematics
In Statistics and Probability
- Peng Zhao
- Narayanaswamy Balakrishnan
- Debasis Kundu
- Gauss Moutinho Cordeiro
- Biswabrata Pradhan
- Jorge Navarro
- Mohammed Elgarhy
- Víctor Leiva
Citations in the corpus
- ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS (2013, background): “Zhao and Balakrishnan [53] compared stochastically the maxima in terms of the dispersive and star orders.”
- Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components (2018, background): “When all the resilience parameters are same and larger than 1, Theorem 11 of Balakrishnan et al. [16] built the usual stochastic order between the two series systems with generalized exponential components when the scale parameter vectors are ordered by means of themajorization order.”