An Identity for Expectations of Functions of Order Statistics.
The UMVUE of P(X<Y) Based on Type-II Censored Samples from Weinman Multivariate Exponential Distributions.
Characteristic properties of generalized order statistics from exponential distributions
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.
Evaluations of expected generalized order statistics in various scale units
We present sharp upper bounds for the deviations of expected generalized order statistics from the population mean in various scale units generated by central absolute moments. No restrictions are imposed on the parameters of the generalized order statistics model. The results are derived by combining the unimodality property of the uniform generalized order statistics with the Moriguti and Hölder inequalities. They generalize evaluations for specific models of ordered observations.
Characterizations of exponential distributions by spacings of generalized order statistics
-3Properties of spacings of generalized order statistics based on IFR and DFR distributions are shown to characterize exponential distributions.
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