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Original Articles

Almost sure local central limit theorem for sample range

Pages 1050-1055 | Received 21 May 2012, Accepted 27 Dec 2012, Published online: 04 Sep 2014
 

ABSTRACT

Let {Xn; n ⩾ 1} be a sequence of independent and identically distributed random variables. The sample range is . In this paper, we derive, under some mild assumptions, an almost sure local central limit theorem for sample range.

Mathematics Subject Classification:

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