Sharp bounds on the expectations of linear combinations of \(k\)th records expressed in the Gini mean difference units. (English) Zbl 1410.60028
Summary: We describe a method of calculating sharp lower and upper bounds on the expectations of linear combinations of \(k\)th records expressed in the Gini mean difference units of the original i.i.d. observations. In particular, we provide sharp lower and upper bounds on the expectations of \(k\)th records and their differences. We also present the families of distributions which attain the bounds in the limit.
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