A New Hybrid Exponentially Weighted Moving Average control chart using Mixture Ratio Estimator of Mean | [Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences • 2021]

Author(s):

1. Hafiz Zain Pervaiz: Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan

2. Syed Muhammad Muslim Raza: Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan

3. Muhammad Moeen Butt: Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan

4. Saira Sharif: Department of Economics, School of Business and Economics, University of Management and Technology, Lahore, Pakistan

5. Muhammad Haider: Office of Controller of Examination, Minhaj University, Lahore, Pakistan

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.

Page(s): 45-57

DOI: DOI not available

Published: Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 58, Issue: 2, Year: 2021

Keywords:

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

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