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

共 50 条

[41] On the performance of estimation methods under ranked set sampling
Cesar Augusto Taconeli
Wagner Hugo Bonat
Computational Statistics, 2020, 35 : 1805 - 1826
[42] Economic Design of Variable Sampling Intervals EWMA Control Charts under Binomial Distribution
Xue Li
PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON MECHATRONICS, ELECTRONIC, INDUSTRIAL AND CONTROL ENGINEERING, 2015, 8 : 746 - 749
[43] The effect of measurement errors on the performance of the Exponentially Weighted Moving Average control charts for the Ratio of Two Normally Distributed Variables
Nguyen, H. D.
Tran, K. P.
Tran, K. D.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2021, 293 (01) : 203 - 218
[44] Evaluating the effect of measurement errors on the performance of the variable sampling intervals Hotelling's T2 control charts
Sabahno, Hamed
Amiri, Amirhossein
Castagliola, Philippe
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2018, 34 (08) : 1785 - 1799
[45] On the design of Shewhart control charts for count time series under estimation uncertainty
Weiss, Christian H.
Testik, Murat Caner
Homburg, Annika
COMPUTERS & INDUSTRIAL ENGINEERING, 2021, 157
[46] A variables repetitive group sampling plan under failure-censored reliability tests for Weibull distribution
Jun, Chi-Hyuck
Lee, Hyeseon
Lee, Sang-Ho
Balamurali, S.
JOURNAL OF APPLIED STATISTICS, 2010, 37 (03) : 453 - 460
[47] Effect of uncertainty components such as recalibration on the performance of quality control charts
Winkel, P
Zhang, NF
SCANDINAVIAN JOURNAL OF CLINICAL & LABORATORY INVESTIGATION, 2005, 65 (08): : 707 - 719
[48] The effect of parameter estimation on the performance of one-sided Shewhart control charts for zero-inflated processes
Rakitzis, Athanasios C.
Castagliola, Philippe
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (14) : 4194 - 4214
[49] The performance of control charts with economic-statistical design when parameters are estimated
Alsaid, Mahmoud
Kamal, Rania M.
Rashwan, Mahmoud M.
REVIEW OF ECONOMICS AND POLITICAL SCIENCE, 2021, 6 (02) : 142 - 160
[50] Combination of Sequential Sampling Technique with GLR Control Charts for Monitoring Linear Profiles Based on the Random Explanatory Variables
Yeganeh, Ali
Parvizi Amineh, Mahdi
Shadman, Alireza
Shongwe, Sandile Charles
Mohasel, Seyed Mojtaba
MATHEMATICS, 2023, 11 (07)

← 1 2 3 4 5 →