Comparisons between largest order statistics from multiple-outlier models with dependence. (English) Zbl 1458.62102
Summary: We study stochastic comparisons between the largest order statistics from samples which may contain outliers. The data in each sample can also be dependent. Under these assumptions we study three cases. In the first one we consider the general case without additional assumptions. In the second we assume that the data come from two different distributions. In the third one we assume that the data come from a proportional hazard rates model. The results obtained here can be applied to compare parallel systems. Some illustrative examples are provided.
MSC:
| 62G30 | Order statistics; empirical distribution functions |
| 60E15 | Inequalities; stochastic orderings |
| 62N05 | Reliability and life testing |
| 90B25 | Reliability, availability, maintenance, inspection in operations research |
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