## The Annals of Statistics

### Some Admissible Nonparametric and Related Finite Population Sampling Estimators

#### Abstract

Given a random sample from an unknown distribution $F,$ which is assumed to belong to some nonparametric family of distributions, consider the problem of estimating $\gamma(F),$ some function of $F.$ When the loss function is squared error, admissible estimators are exhibited for a large class of $\gamma$'s. A relationship between these estimators and similar ones in finite population sampling is demonstrated.

#### Article information

Source
Ann. Statist., Volume 13, Number 2 (1985), 811-817.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176349559

Digital Object Identifier
doi:10.1214/aos/1176349559

Mathematical Reviews number (MathSciNet)
MR790577

Zentralblatt MATH identifier
0581.62006

JSTOR