## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 30, Number 4 (1959), 1175-1191.

### Continuous Sampling Procedures Without Control

C. Derman, M. V. Johns, Jr., and G. J. Lieberman

#### Abstract

Several modifications of the Dodge CSP-1 procedure [1] are presented. Changes are made in the rule of action when a defective item is observed while on sampling. The Average Outgoing Quality Limit (AOQL) for these new procedures are derived without the assumption of control. These results are compared with the AOQL assuming control. A production process is said to be in statistical control if there is a constant probability $p$ that an item is defective, and if the states of all the items (defective or nondefective) are stochastically independent. Further, the AOQL for the CSP-1 procedure using probability sampling (looking at every item with probability $1/k$ when on sampling) is derived without the assumption of control.

#### Article information

**Source**

Ann. Math. Statist., Volume 30, Number 4 (1959), 1175-1191.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177706103

**Digital Object Identifier**

doi:10.1214/aoms/1177706103

**Mathematical Reviews number (MathSciNet)**

MR108875

**Zentralblatt MATH identifier**

0095.13001

**JSTOR**

links.jstor.org

#### Citation

Derman, C.; Johns, M. V.; Lieberman, G. J. Continuous Sampling Procedures Without Control. Ann. Math. Statist. 30 (1959), no. 4, 1175--1191. doi:10.1214/aoms/1177706103. https://projecteuclid.org/euclid.aoms/1177706103