Reliability and expectation bounds for coherent systems with exchangeable components
Journal of Multivariate Analysis
On copulas and their diagonals
Information Sciences: an International Journal
Study of some measures of dependence between order statistics and systems
Journal of Multivariate Analysis
Frank's condition for multivariate Archimedean copulas
Fuzzy Sets and Systems
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The class of all possible distribution functions of each order statistic for a sample of possibly dependent, identically distributed random variables is characterized. An effective method of determination of the extreme values for the expectation and variance of an arbitrary Borel function of order statistic is presented and applied for calculating the moments in the case of uniformly distributed random variables.