For Topp-Leone generated lifetimes, series systems are hazard-rate ordered when shape parameters are majorized, and parallel systems are stochastically ordered under scale majorization.
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Stochastic Comparisons of Series and Parallel Systems with Topp-Leone Generated Family of Distributions
For Topp-Leone generated lifetimes, series systems are hazard-rate ordered when shape parameters are majorized, and parallel systems are stochastically ordered under scale majorization.