×

zbMATH — the first resource for mathematics

Stochastic comparison in MRL ordering for parallel systems with two exponential components. (English) Zbl 1409.60036
Summary: In this paper, we investigate the stochastic comparison of parallel systems with two independent exponential components in terms of mean-residual (MRL) ordering. We obtain a more general and reasonable sufficient condition for guaranteeing MRL ordering of the systems than the one given in some existing results in the literature.
MSC:
60E15 Inequalities; stochastic orderings
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Balakrishnan, N.; Zhao, P., Ordering properties of order statistics from heterogeneous populations: a review with an emphasis of some recent developments, Probab. Engrg. Inform. Sci., 27, 403-443, (2013) · Zbl 1288.60023
[2] Dykstra, R.; Kochar, S. C.; Rojo, J., Stochastic comparisons of parallel systems of heterogeneous exponential components, J. Statist. Plann. Inference, 65, 203-211, (1997) · Zbl 0915.62044
[3] Kochar, S. C.; Rojo, J., Some new results on stochastic comparisons of spacings from heterogeneous exponential distributions, J. Multivariate Anal., 59, 272-281, (1996) · Zbl 0864.62033
[4] Kochar, S. C.; Xu, M., Stochastic comparisons of parallel systems when components have proportional hazard rates, Probab. Engrg. Inform. Sci., 21, 597-609, (2007) · Zbl 1142.62084
[5] Misra, N.; Misra, A. K., On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components, Statist. Probab. Lett., 83, 1567-1570, (2013) · Zbl 1287.60029
[6] Pledger, P.; Proschan, F., Comparison of order statistics and of spacings from heterogeneous distributions, (Rustagi, J. S., Optimizing Methods in Statistics, (1971), Academic Press New York), 89-113
[7] Proschan, F.; Sethuraman, J., Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability, J. Multivariate Anal., 6, 608-616, (1976) · Zbl 0346.60058
[8] Shaked, M.; Shanthikumar, J. G., Stochastic orders, (2007), Springer New York
[9] Zhao, P.; Balakrishnan, N., MRL ordering of parallel systems with two heterogeneous components, J. Statist. Plann. Inference, 141, 631-638, (2011) · Zbl 1209.62242
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.