The ARL of EWMA Chart for Monitoring ZINB Model Using Markov Chain Approach

Chananet, Chanaphun; Sukparungsee, Saowanit; Areepong, Yupaporn

doi:10.7763/ijapm.2014.v4.290

Cited by 17 publications

(11 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The performance of the stated proposal was evaluated by several measures, and results revealed that the combined EWMA structure outperformed the simultaneous EWMA structure. Further, an explicit expression for the ARL of the DMA chart based on the ZIB distribution was proposed by Areepong and Sukparungsee, and Bualuang et al, while a Markov chain approach for the ARL of CUSUM and EWMA control chart under ZIP and ZINB models was discussed in Chananet et al, Chananet et al, and Sukparungsee . A one‐sided CUSUM chart for ZIB distribution was proposed by Rakitzis et al This chart was designed to monitor increasing and decreasing shifts in the ZIB parameter p 2 , and comparative analysis was done with the Shewhart chart (cf.…”

Section: Statistical Monitoring Based On Zero‐inflated Distributionsmentioning

confidence: 99%

See 1 more Smart Citation

Models and monitoring of zero‐inflated processes: The past and current trends

Mahmood

Xie

2019

Quality & Reliability Eng

View full text Add to dashboard Cite

As product quality has increased rapidly in recent years, monitoring and control of products have become more and more difficult. The items were produced with zero defects, and zero‐inflated distributions are used to fit the defect count data. Recently, many studies were designed for the estimation and monitoring methods based on the zero‐inflated distributions. As zero‐inflated models are useful in the modeling of high‐yield and rare health‐related processes, so, the stated study is designed to provide a summary of past and current trends of monitoring methods under the zero‐inflated models. Moreover, a review is done on the several zero‐inflated models and their applications in different industries. Finally, some future directions are also highlighted to overcome existing unsolved issues.

show abstract

Section: Statistical Monitoring Based On Zero‐inflated Distributionsmentioning

confidence: 99%

“…-Chananet et al, 68 Chananet et al 69 Chananet et al 68 Chananet et al 63 FIP and GIP Rakitzis et al, 78 Rakitzis et al 79 -…”

Section: Zinbmentioning

confidence: 99%

Models and monitoring of zero‐inflated processes: The past and current trends

Mahmood

Xie

2019

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…This type of simulation approach is employed when the mean and other measures of the proposed chart are unavailable. Several researchers of the statistical process control used the simulation approach for numerical calculations of the proposed methodology including, for example, [17].…”

Section: In-control Processmentioning

confidence: 99%

Shewhart Attribute and Variable Control Charts Using Modified Multiple Dependent State Sampling

2019

View full text Add to dashboard Cite

In this article, modified multiple dependent (or deferred) state sampling control charts for the attribute and the variable quality characteristics are presented. The proposed control charts are designed using the symmetry property of the normal distribution. The control chart coefficients are estimated through simulation at different levels of the parameters using the normal distribution. The proposed control chart scheme is evaluated by calculating the in-control average run lengths and out-of-control average run lengths. Tables are constructed for the selection of parameters for different control limit coefficients under several shift levels for the attribute data as well as the variable data. Examples are included for the practical application of the proposed control chart schemes. The proposed control chart scheme is also compared with the existing control charts. It has been observed that the proposed schemes are better in quick detection of the out-of-control processes.

show abstract

“…This simulation approach is commonly used when the exact form of the mean and other measures of the proposed process is not available. Many researchers have used the simulation approach for the effectiveness of control charts including among others Santos (2009), Abbasi and Miller (2013), , , Chananet et al (2014), Shu et al (2014), , Azam et al (2015) and Aslam (2016).…”

Section: Performance Evaluation Of the Proposed Chartmentioning

confidence: 99%

A Control Chart for Gamma Distribution using Multiple Dependent State Sampling

Aslam¹,

Arif²

2017

Industrial Engineering and Management Systems

View full text Add to dashboard Cite

In this article, a control chart based on multiple dependent (or deferred) state sampling for the gamma distributed quality characteristic is proposed using the gamma to normal transformation. The proposed control chart has two pairs of control limits, which can be determined by considering the in-control average run length (ARL). The shift in the scale parameter of a gamma distribution is considered and the out-of-control ARL is evaluated. The performance of the proposed chart has been shown for different levels of the parameters of the proposed control chart. It is also shown that the proposed chart is better than the Shewhart chart in terms of ARLs. A case study with a real data has been included for the practical usage of the proposed scheme.

show abstract

The ARL of EWMA Chart for Monitoring ZINB Model Using Markov Chain Approach

Cited by 17 publications

References 15 publications

Models and monitoring of zero‐inflated processes: The past and current trends

Models and monitoring of zero‐inflated processes: The past and current trends

Shewhart Attribute and Variable Control Charts Using Modified Multiple Dependent State Sampling

A Control Chart for Gamma Distribution using Multiple Dependent State Sampling

Contact Info

Product

Resources

About