## Keywords (1)

Publications
A Note on Huber's Robust Estimation of a Location Parameter

# A Note on Huber's Robust Estimation of a Location Parameter,10.1214/aoms/1177692460,The Annals of Mathematical Statistics,Jerome Sacks,Donald Ylvisake

A Note on Huber's Robust Estimation of a Location Parameter
Huber, in his fundamental paper [1] and in [2], has considered the robust estimation of a location parameter and has obtained results which he applied to some examples including the $\varepsilon$-normal model, $\{F|\sup_x|F(x) - \Phi(x)\mid \leqq \varepsilon, F \text{symmetric}\}$, when $\varepsilon$ is sufficiently small $(\varepsilon \leqq \varepsilon_0 \sim .03)$. In this note we show how his methods work for the family of distributions $\{F \mid \int^A_{-A} dF \geqq p, F \text{symmetric}\}$ and then use this to solve the $\varepsilon$-normal problem when $\varepsilon > \varepsilon_0$.
Journal: The Annals of Mathematical Statistics , vol. 43, no. 1972, pp. 1068-1075, 1972
View Publication
 The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
 ( projecteuclid.org )

## Citation Context (1)

• ...Apparently, the class F4 of finite distributions is the particular case of the class F5 .T hese classes are considered in [5,10,12]...

Sort by: