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Should S Get More Press?
Authors:J Kelly Cunningham
Institution:Stephen F. Austin State University , Nacogdoches , TX , 75962
Abstract:This note discusses a problem appropriate for a beginning mathematical statistics course. Four estimators of the standard deviation of a normal data source are compared using mean square error. Both the uniformly minimum variance unbiased estimator and the usual estimator are found to be inadmissible.
Keywords:Likelihood estimator  Maximum  Standard deviation  Uniformly minimum-variance unbiased estimator
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