Summary
It is shown that even in very simple situations (like estimating the mean of a normal population) where a uniformly minimum variance unbiased estimator of the unknown population characteristic is known to exist, no best (even locally) unbiassed estimator exists as soon as we alter slightly the definition of variance.
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Editor’s Note : This chapter is based on Basu (1955b).
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© 1988 Springer-Verlag New York Inc.
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Ghosh, J.K. (1988). A Note on Unbiased Estimation. In: Ghosh, J.K. (eds) Statistical Information and Likelihood. Lecture Notes in Statistics, vol 45. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3894-2_20
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DOI: https://doi.org/10.1007/978-1-4612-3894-2_20
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96751-6
Online ISBN: 978-1-4612-3894-2
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