On the continuation of the limit distributions of the extreme and central terms of a sample

Faculty Science Year: 1997
Type of Publication: Article Pages: 351-368
Authors:
BARAKAT, HM
DOI: 10.1007/BF02564703
Journal: TEST SOCIEDAD ESTADISTICA INVESTIGACION OPERATIVA Volume: 6
Research Area: Mathematics ISSN ISI:000071459700014
Keywords : order statistics, extreme value distributions, central value distributions, weak convergence, continuation of the convergence    
Abstract:
We consider the situation where the distribution functions (d.f.'s) of the suitably normalized extreme and central order statistics on an interval {[}c,d] converge to arbitrary nondecreasing functions. The continuation of these convergences (weak) on the whole real line to the extreme and central value distributions is then proved under general conditions.
    
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