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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 21, Fasc. 1,
pages 57 - 70
 

LOCATIONS OF EXTREME VALUES OF THE EMPIRICAL PROCESS

Youssef Randjiou

Abstract: Let a n be a uniform empirical process and m n (respectively, n n ) the unique location of its maximum (respectively, minimum). We establish a “liminf” iterated logarithm law for |m - n |. n n

1991 AMS Mathematics Subject Classification: 60F15.

Key words and phrases: Empirical process, law of the iterated logarithm.

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