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# Wydawnictwa / Czasopisma IMPAN / Applicationes Mathematicae / Wszystkie zeszyty

## Constructing median-unbiased estimators in one-parameter families of distributions via stochastic ordering

### Tom 30 / 2003

Applicationes Mathematicae 30 (2003), 251-255 MSC: 62F10, 62G05. DOI: 10.4064/am30-3-1

#### Streszczenie

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).

#### Autorzy

• Ryszard ZielińskiInstitute of Mathematics