Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Açık Bilim Politikası
Açık Bilim Politikası
Frequently Asked Questions
Frequently Asked Questions
Browse
Browse
By Issue Date
By Issue Date
Authors
Authors
Titles
Titles
Subjects
Subjects
Communities & Collections
Communities & Collections
A Two-Sided Cumulative Sum Chart for First-Order Integer-Valued Autoregressive Processes of Poisson Counts
Date
2013-02-01
Author
Yontay, Petek
Weiss, Christian H.
TESTİK, MURAT CANER
Bayındır, Zeynep Pelin
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
10
views
0
downloads
Count data processes are often encountered in manufacturing and service industries. To describe the autocorrelation structure of such processes, a Poisson integer-valued autoregressive model of order 1, namely, Poisson INAR(1) model, might be used. In this study, we propose a two-sided cumulative sum control chart for monitoring Poisson INAR(1) processes with the aim of detecting changes in the process mean in both positive and negative directions. A trivariate Markov chain approach is developed for exact evaluation of the ARL performance of the chart in addition to a computationally efficient approximation based on bivariate Markov chains. The design of the chart for an ARL-unbiased performance and the analyses of the out-of-control performances are discussed. Copyright (C) 2012 John Wiley & Sons, Ltd.
Subject Keywords
Autocorrelated counts
,
CUSUM control chart
,
Markov chains approach
,
Poisson INAR(1) model
,
Statistical process control
URI
https://hdl.handle.net/11511/46470
Journal
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
DOI
https://doi.org/10.1002/qre.1289
Collections
Department of Industrial Engineering, Article