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A synthetic control chart for generalized exponential distribution

Author Affiliations

  • 1Department of Statistics, R. B. Narayanrao Borawake College, Shrirampur, India

Res. J. Mathematical & Statistical Sci., Volume 9, Issue (1), Pages 16-21, January,12 (2021)

Abstract

This article proposes the synthetic control chart for the generalized exponential distribution. The generalized exponential distribution has two parameters. A process generates an out-of-control signal when there is a shift in any of the parameter of the generalized exponential distribution. To measure the performance of the proposed synthetic control chart, the popular measures such as average run length, standard deviation of run length, median run length and inter-quartile range are used. The changes in parameters affect the average run length, standard deviation of run length, median run length and inter-quartile range. The performance of the proposed synthetic generalized exponential chart is compared with the chart for monitoring parameters of the generalized exponential distribution. The proposed chart is more efficient than the existing chart in term of the average run length, standard deviation of run length, median run length and inter-quartile range.

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