A one-sided MEWMA control chart for Poisson-distributed data

  • Authors:

  • Busaba Laungrungrong;Connie M. Borror;Douglas C. Montgomery

  • Affiliations:

  • Maricopa Skill Center, 1245 East Buckeye Road Phoenix, AZ 85034, USA;Division of Mathematics and Natural Sciences, Arizona State University at the West Campus, 4701 W. Thunderbird Rd, Glendale, AZ, 85306-4908, USA;School of Computing, Informatics, and Decision Systems Engineering Industrial Engineering, Arizona State University, 4701 W. Thunderbird Rd, Glendale, AZ, 85306-4908, USA

  • Venue:
  • International Journal of Data Analysis Techniques and Strategies
  • Year:
  • 2014

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Abstract

This paper introduces a one-sided multivariate exponentially weighted moving average MEWMA chart for detecting an increase in a process mean. The control limits are based on the multivariate Poisson distribution and have applications for both industrial processes and public health data. The statistical performance of the proposed MEWMA is examined using run length distributions and is also compared to the traditional MEWMA based on normal-theory limits. Two out-of-control scenarios are of interest: 1 detecting a single point plotting beyond the control limits; 2 a run of two or more points in a row.