## The Annals of Statistics

### An Asymptotically Efficient Sequence of Estimators of a Location Parameter

Jerome Sacks

#### Abstract

An asymptotically efficient sequence of estimators for the location parameter of an (unknown) symmetric density $f$ is given under weak conditions on the tails of $f$. The estimators are related to the usual linear combination of order statistics except that the unknown $f$ has to be estimated and only some of the order statistics are used.

#### Article information

Source
Ann. Statist., Volume 3, Number 2 (1975), 285-298.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176343057

Digital Object Identifier
doi:10.1214/aos/1176343057

Mathematical Reviews number (MathSciNet)
MR359174

Zentralblatt MATH identifier
0329.62032

JSTOR