THE ASYMPTOTIC NORMALITY OF AN INTERMEDIATE
ORDER STATISTIC OF THE RANGES OF SUB-SAMPLES

J. W. H. SWANEPOEL

Department of Statistics and O.R., Potchefstroom University for CHE,
Potchefstroom 2520, South Africa

(Received March 28, 1991; revised April 13, 1992)

Abstract.    An intermediate order statistic based on the ranges of sub-samples is introduced and its limiting distribution derived under certain regularity conditions.

Key words and phrases:    Intermediate order statistic, sample range, weak convergence.

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