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On the restricted convergence of the intermediate and central terms of order statistics

Barakat H. M.

Probability and Mathematical Statistics

2003

Vol. 23, Fasc. 2

229--240

As the distribution function (d.f.) of the suitably normalized general intermediate (or central) term of order statistics converges on an interval [c, d] to an arbitrary nondecreasing function, the continuation of this (weak) convergence on the whole real line to an intermediate (or central) value distribution is proved.