Work

Design of a Control Chart Using Extended EWMA Statistic

Year: 2018

Type: article

Abstract: In the present paper, we propose a control chart based on extended exponentially weighted moving average (EEWMA) statistic to detect a quick shift in the mean. The mean and variance expression of the proposed EEWMA statistic are derived. The proposed EEWMA statistic is unbiased and simulation results show a smaller variance as compared to the traditional EWMA. The performance of the proposed control chart with the existing chart based on the EWMA statistic is evaluated in terms of average run length (ARL). Various tables were constructed for different values of parameters. The comparison of the EEWMA control chart with the traditional EWMA and Shewhart control charts illustrates that the proposed control chart performs better in terms of quick detection of the shift. The working procedure of the proposed control chart was also illustrated by simulated and application data.

Source: Technologies

DOI: 10.3390/technologies6040108

Authors: Muhammad Naveed, Muhamma Azam, Nasrullah Khan, Muhammad Aslam

Institutions: National College of Business Administration and Economics, University of Veterinary and Animal Sciences, King Abdulaziz University

Language: English

Topic: Advanced Statistical Process Monitoring

Subfield: Statistics, Probability and Uncertainty

Field: Decision Sciences

Domain: Social Sciences

Open Access status: gold

Estimated APC paid: $1,930

OpenAlex ID: W2901360602

FWCI: 1.522

Cites: 11

Cited by: 70

Related to: 10