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On expected sample range from heterogeneous symmetric distributions
Authors:Ibrahim A. Salama  Pranab K. Sen
Affiliation:Department of Biostatistics, University of North Carolina, Chapel Hill, NC 27514, USA
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.
Keywords:62G30  Heterogeneous Distributions  Location Variation  Sample Range  Symmetric Distribution
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