## The Annals of Statistics

- Ann. Statist.
- Volume 10, Number 2 (1982), 575-582.

### $H_0$-Contiguity in Nonparametric Testing Problems and Sample Pitman Efficiency

#### Abstract

The concept of $H_0$-contiguity is studied for certain nonparametric testing problems. Furthermore, it is shown that a meaningful sample definition of Pitman efficiency is possible under $H_0$-contiguity, and this definition turns out to coincide with the usual efficiency concept based on comparing asymptotic distributions.

#### Article information

**Source**

Ann. Statist., Volume 10, Number 2 (1982), 575-582.

**Dates**

First available in Project Euclid: 12 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aos/1176345798

**Digital Object Identifier**

doi:10.1214/aos/1176345798

**Mathematical Reviews number (MathSciNet)**

MR653532

**Zentralblatt MATH identifier**

0492.62040

**JSTOR**

links.jstor.org

**Subjects**

Primary: 62G20: Asymptotic properties

Secondary: 62G10: Hypothesis testing

**Keywords**

Contiguity rank tests two sample test symmetry test sample Pitman efficiency

#### Citation

Neuhaus, Georg. $H_0$-Contiguity in Nonparametric Testing Problems and Sample Pitman Efficiency. Ann. Statist. 10 (1982), no. 2, 575--582. doi:10.1214/aos/1176345798. https://projecteuclid.org/euclid.aos/1176345798