Geodesic
Constructing median-unbiased estimators in one-parameter families of distributions via stochastic ordering
Ryszard Zieliński1
1 Institute of Mathematics Polish Academy of Sciences P.O. Box 21 00-956 Warszawa 10, Poland
Applicationes Mathematicae, Tome 30 (2003) no. 3, pp. 251-255 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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If $\theta \in { \Theta }$ is an unknown real parameter of a given distribution, we are interested in constructing an exactly median-unbiased estimator $\widehat \theta $ of $\theta $, i.e. an estimator $\widehat \theta $ such that a median $\textrm{Med}(\widehat \theta )$ of the estimator equals $\theta $, uniformly over $\theta \in { \Theta }$. We shall consider the problem in the case of a fixed sample size $n$ (nonasymptotic approach).
DOI : 10.4064/am30-3-1
Keywords: theta theta unknown real parameter given distribution interested constructing exactly median unbiased estimator widehat theta theta estimator widehat theta median textrm med widehat theta estimator equals theta uniformly theta theta shall consider problem fixed sample size nonasymptotic approach

Ryszard Zieliński 1

1 Institute of Mathematics Polish Academy of Sciences P.O. Box 21 00-956 Warszawa 10, Poland 
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 via stochastic ordering
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Ryszard Zieliński. Constructing median-unbiased estimators
 in one-parameter families of distributions
 via stochastic ordering. Applicationes Mathematicae, Tome 30 (2003) no. 3, pp. 251-255. doi: 10.4064/am30-3-1

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