On Minimum Variance Unbiased Estimators |
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Authors: | K X Karakostas |
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Institution: | Statistics Section, Department of Mathematics , University of Ioannina , Ioannina , 45332 , Greece |
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Abstract: | The problem of finding minimum variance unbiased estimators of various parameters for parametric distributions is an important one in statistics. This article gives analytical formulas for the minimum variance unbiased estimators of parametric functions, which are usually used in a classroom, for two types of densities. The first type is the one-parameter regular exponential family, and the second is a two-parameter family of a continuous random variable whose range depends on the unknown parameters. |
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Keywords: | Completeness One-parameter regular exponential family Parametric functions Range depending on unknown parameter Sufficient statistic |
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