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This paper carries out stochastic comparisons on the total capacity of weighted  k -out-of- n  systems with heterogeneous components. The expectation order, the increasing convex/concave order and the usual stochastic order are employed to investigate stochastic behaviours of system capacity. Sufficient conditions are established in terms of majorisation-type orders between the vectors of component lifetime distribution parameters and the vectors of weights. Some examples are also provided as illustrations.

Stochastic comparisons on total capacity of weighted k -out-of- n systems with heterogeneous components