Geodesic
On a limit relation between order statistics and records
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 218-226

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Let a distribution function (d.f.) $F$ belong to the domain of minimal attraction of some d.f. $L$. It is shown that a limit distribution of suitably normalized order statistics $X_{k,n}$ corresponding to d.f. $F$ coincides with the distribution of the record value $X(k)$ corresponding to d.f. $L$. 
@article{ZNSL_1997_244_a14,
     author = {V. B. Nevzorov},
     title = {On a limit relation between order statistics and records},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {218--226},
     publisher = {mathdoc},
     volume = {244},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a14/}
}
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V. B. Nevzorov. On a limit relation between order statistics and records. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 218-226. http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a14/