A New Hybrid Exponentially Weighted Moving Average control chart using Mixture Ratio Estimator of Mean: A New Hybrid Exponentially Weighted Moving Average Control Chart

Hafiz Zain  Pervaiz; Syed Muhammad Muslim  Raza; Muhammad Moeen  Butt; Saira  Sharif; Muhammad  Haider

doi:10.53560/PPASA(58-2)606

Authors

Hafiz Zain Pervaiz Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan
Syed Muhammad Muslim Raza Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan
Muhammad Moeen Butt Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan
Saira Sharif Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan
Muhammad Haider Office of Controller of Examination, Minhaj University, Lahore, Pakistan

DOI:

https://doi.org/10.53560/PPASA(58-2)606

Keywords:

Hybrid, EWMA, CUSUM, Mixture Ratio Estimator, Average Run Length

Abstract

In this paper, we propose a Hybrid Exponentially Weighted Moving Average (HEWMA) control chart based on a mixture ratio estimator of mean using a single auxiliary variable and a single auxiliary attribute (Moeen et al., [1]). We call it as Z- HEWMA control chart. The proposed control chart performance is evaluated using outof- control-Average Run Length (ARL1). The control limits of the proposed chart is based on estimator, its mean square errors. A simulated example is used to compare the proposed Z-HEWMA, traditional/simple EWMA chart and CUSUM control chart. From this study the fact is revealed that Z-HEWMA control chart shows more efficient results as compared to traditional/simple EWMA and CUSUM control charts. The Z-HEWMA chart can be used for efficient monitoring of the production process in manufacturing industries where auxiliary information about a numerical variable and an attribute is available.

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A New Hybrid Exponentially Weighted Moving Average control chart using Mixture Ratio Estimator of Mean