Best bounds for order statistics and their expectations in range and mean units with applications |
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| Authors: | Richard A. Groeneveld |
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| Affiliation: | Department of Statistics , Iowa State University , Ames, Iowa, 50011, USA |
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| Abstract: | Best bounds for the order statistics are obtained in terras of the sample range and, for non-negative samples, in terms of the sample mean. Best bounds for the differences of two order statistics are found in this case also. Corresponding bounds on the expectation of order statistics and their differences are also found. Several applications of these bounds are considered |
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| Keywords: | bounds on range mean of non-negative samples |
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