2007
DOI: 10.1002/qre.852
|View full text |Cite
|
Sign up to set email alerts
|

The funnel experiment: The Markov‐based SPC approach

Abstract: The classical funnel experiment was used by Deming to promote the idea of statistical process control (SPC). The popular example illustrates that the implementation of simple feedback rules to stationary processes violates the independence assumption and prevents the implementation of conventional SPC. However, Deming did not indicate how to implement SPC in the presence of such feedback rules. This pedagogical gap is addressed here by introducing a simple feedback rule to the funnel example that results in a … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
11
0

Year Published

2011
2011
2023
2023

Publication Types

Select...
6
1

Relationship

3
4

Authors

Journals

citations
Cited by 13 publications
(11 citation statements)
references
References 39 publications
0
11
0
Order By: Relevance
“…If the level of transaction costs needed to generate profits from an anomaly (therefore, eliminating it) is far below the level that actually exists in the market, it could explain why a reasonably efficient market allows the anomaly to exist (Wu and Shafer 2007). The VOM tree model that we used in this paper is capable of capturing patterns of reversion to equilibrium (Singer and Ben-Gal, 2007), as long as the reversion is within the window of observation (50 to 100 consecutive trading days in our experiments). This capability to predict beyond random can be explained as follows: when the deviation from equilibrium is small, and the stock market can move either way, the VOM tree can captures only a small predictability level above random (such as seen in leaf 1 in Figure 1).…”
Section: Discussionmentioning
confidence: 99%
“…If the level of transaction costs needed to generate profits from an anomaly (therefore, eliminating it) is far below the level that actually exists in the market, it could explain why a reasonably efficient market allows the anomaly to exist (Wu and Shafer 2007). The VOM tree model that we used in this paper is capable of capturing patterns of reversion to equilibrium (Singer and Ben-Gal, 2007), as long as the reversion is within the window of observation (50 to 100 consecutive trading days in our experiments). This capability to predict beyond random can be explained as follows: when the deviation from equilibrium is small, and the stock market can move either way, the VOM tree can captures only a small predictability level above random (such as seen in leaf 1 in Figure 1).…”
Section: Discussionmentioning
confidence: 99%
“…This implies that an automated process governed by a feedback loop actively controlling the process has to decide when to react and when not to react; do not react when the process is on target, but react when deviance is detected. Methods have been developed to monitor a process in the presence of feedback rules (Singer and Ben Gal 2007), as well as using feedback rules to help detect, explain, and prevent tampering with the processes (Georgantzas and Katsamakas 2008).…”
Section: Literature Tamperingmentioning
confidence: 99%
“…Furthermore, Ben‐Gal et al 48 proposed a context‐based SPC method based on the information theory principles to monitor a state‐dependent process of varying dependent order. The method does not assume prior knowledge of the model parameters but a large storage volume of data is required Singer and Ben‐Gal49 proposed a simplified version of the above methodology based on conventional fixed‐order Markov models.…”
Section: Using Nns To Recognize Shifts In Correlated Process Datamentioning
confidence: 99%