Keywords:-

Keywords: Extreme Value charts, In Control, Quantile-Quantile plot, Control Limits.

Article Content:-

Abstract

The quality is assessable by its feature is implicit with a probability model which  follow Gumbel distribution. From each subgroups extreme values are used to construct extreme value charts and variable control charts. Probability model of the extreme order statistics and the size of each sub group are used in control chart constants. To find the decision lines of Gumbel distribution we implement a method of analysis of means (ANOM). The proposed ANOM decision lines are constructed for given number of subgroup within means category and between means category given by Ott (1967). These decision lines are  illustrated by giving few examples.

References:-

References

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Kalanka P Jayalatha Hon Keung Tony Ng.(2020). “Analysis of means approach in advanced designs” https://doi.org/10.1002/asmb.2540”

Kalanka P. Jayalath and Jacob Turner. (2021). “Analysis of Means (ANOM) Concepts and Computations”, Applications and Applied Mathematics: An International Journal,Vol.16,Issue1, 75-96.

B.Srinivasa Rao, K.N.V.R.Lakshmi.(2021). “Analysis of Means(ANOM) based on New-weibull Pareto distribution”, International Journal of Research & Analytical Reviews,8(2),481-491.

Anil.A, B.Srinivasa Rao.(2021).” Extreme Value Charts & Analysis of Means based on New Weighted Exponential distribution”, Journal of University of Shanghai for Science and Technology, 23(11),825-836.

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Cheepuri, C., Rao, D. B. S., Reddy, D. J. P., & Rosaiah, P. (2022). Extreme Value Charts and ANOM Based on Gumbel Distribution. International Journal Of Mathematics And Computer Research, 10(6), 2777-2784. https://doi.org/10.47191/ijmcr/v10i6.11