The effect of parameters estimation on the performance of variables control charts under repetitive sampling

被引：5

作者：

Alevizakos, Vasileios ^{[1
]}

Chatterjee, Kashinath ^{[2
]}

Koukouvinos, Christos ^{[1
]}

Lappa, Angeliki ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografos, Greece

[2] Augusta Univ, Dept Populat Hlth Sci, Div Biostat & Data Sci, Augusta, GA USA

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 07期

关键词：

Average run-length; average sample number; control chart; parameter estimation; repetitive sampling; RUN-LENGTH DISTRIBUTION; S-2 CONTROL CHART; (X)OVER-BAR CHARTS; CONTROL LIMITS; SHEWHART X; IN-CONTROL; DESIGN;

D O I：

10.1080/03610926.2021.1952269

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The repetitive sampling scheme is utilized in control charts to enhance their detection ability in process shifts. Their performance is usually evaluated under the assumption that the process parameters are known. In this article, we investigate the performance of the (X) over bar and S-2 charts under repetitive sampling when the process parameters are estimated from a preliminary in-control (Phase I) sample. We also present the exact expressions of the average run-length (ARL), standard deviation of run-length (SDRL) and average sample number (ASN) measures. A numerical analysis demonstrates that the effect of parameters estimation is significant when the Phase I sample and the sample size are small.

引用

页码：2379 / 2401

页数：23

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