Abstract
An estimator is said to be range preserving if its values are confined to the range of what it is to estimate. The property of being range preserving is an essential property of an estimator, a sine qua non. Other properties, such as unbiasedness, may be desirable in some situations, but an unbiased estimator that is not range preserving should be ruled out as an estimator. [We are not speaking of uses of estimators for purposes other than estimation (e.g., as test statistics ).]
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© 1994 Springer Science+Business Media New York
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Fisher, N.I., Sen, P.K. (1994). Range-Preserving Estimators. In: Fisher, N.I., Sen, P.K. (eds) The Collected Works of Wassily Hoeffding. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0865-5_48
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DOI: https://doi.org/10.1007/978-1-4612-0865-5_48
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