## Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 27, Number 1 (1956), 180-186.

### Generalized Tolerance Limits

#### Abstract

A method for constructing tolerance limits due to Fraser [8] is generalized by allowing that each step of the construction may depend not only on the blocks previously formed but also on all the known boundary observations and, moreover, on certain sets of indices. Furthermore, Tukey's [5] lexicographical ordering is replaced by a more general type of ordering.

#### Article information

**Source**

Ann. Math. Statist., Volume 27, Number 1 (1956), 180-186.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177728356

**Digital Object Identifier**

doi:10.1214/aoms/1177728356

**Mathematical Reviews number (MathSciNet)**

MR76258

**Zentralblatt MATH identifier**

0074.35301

**JSTOR**

links.jstor.org

#### Citation

Kemperman, J. H. B. Generalized Tolerance Limits. Ann. Math. Statist. 27 (1956), no. 1, 180--186. doi:10.1214/aoms/1177728356. https://projecteuclid.org/euclid.aoms/1177728356