Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples. (English) Zbl 0973.62092
Author’s summary: For arbitrarily dependent, identically distributed samples with DFR, IFR, DFRA and IFRA distributions we determine the best attainable upper bounds for the expectation of arbitrary order statistics in terms of the expectation and variance of the parent distributions. Analogous results are concluded for spacings and some other \(L\) - estimates.
Reviewer: S.Kalpakam (Chennai)
MSC:
| 62N05 | Reliability and life testing |
| 62G30 | Order statistics; empirical distribution functions |
| 60E15 | Inequalities; stochastic orderings |
| 62E15 | Exact distribution theory in statistics |
Keywords:
dependent, identically distributed samples; DFR, IFR, DFRA and IFRA distributions; convex and star orderings; order statistic; spacingsReferences:
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