On expected sample range from heterogeneous symmetric distributions |
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| Authors: | Ibrahim A. Salama Pranab K. Sen |
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| Affiliation: | Department of Biostatistics, University of North Carolina, Chapel Hill, NC 27514, USA |
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| Abstract: | ![]()
It is shown that for independent (but not necessarily identically distributed) random variables with distributions symmetric about the respective medians (means), the expected value of the sample range is a minimum when these means are all equal. |
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| Keywords: | 62G30 Heterogeneous Distributions Location Variation Sample Range Symmetric Distribution |
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