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- W2037198097 abstract "This note shows that, under appropriate conditions, if a function $A(theta; t)$ of an unknown parameter $theta$ and a real variable $t$ has an infinite series expansion and if there is a function $B(S; t)$ of the sufficient statistic $S$ which is an unbiased estimator of $A$ for every $t$ and which also has an infinite series expansion, then the coefficients of the power of $t$ in the expansion of $B$ are the proper estimators for the coefficients of the corresponding powers in the expansion of $A$. This result is applied to estimate two functions of the normal parameters, $mu$ and $sigma^2$, which arise in the derivation of expressions for the removal of transformation bias." @default.
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- W2037198097 date "1975-11-01" @default.
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- W2037198097 title "Estimating Generating Functions" @default.
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- W2037198097 doi "https://doi.org/10.1214/aos/1176343291" @default.
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