Quantile inequalities for linear combinations of order statistics from ordered families of distributions

J Bartoszewicz

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Exponential distributions are characterized by distributional properties of generalized order statistics. These characterizations include known results for ordinary order statistics and record values as particular cases.

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Goodness-of-fit tests using characterizations of continuous distributions

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Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.