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2022•Asian Journal of Probability and StatisticsOpen access

Effect of Inspection Error on CUSUM Chart for Truncated Negative Binomial Distribution

U. Mishra, J. R. Singh

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Abstract

In this paper, a mathematical investigation has been done for Cumulative Sum control Chart (CSCC) of Truncated Negative Binomial Distribution (TNBD) under inspection error using the sequential probability ratio test (SPRT). Average Run Length (ARL), d (lead distance) and \(\phi\) (angle of the mask) is calculated for different values of error rates and different values of parameter of the distribution.

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What this paper is about

In this paper, a mathematical investigation has been done for Cumulative Sum control Chart (CSCC) of Truncated Negative Binomial Distribution (TNBD) under inspection error using the sequential probability ratio test (SPRT). Average Run Length (ARL), d (lead distance) and \(\phi\) (angle of the mask) is calculated for different values of error rates and different values of parameter of the distribution.

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Available abstract

In this paper, a mathematical investigation has been done for Cumulative Sum control Chart (CSCC) of Truncated Negative Binomial Distribution (TNBD) under inspection error using the sequential probability ratio test (SPRT). Average Run Length (ARL), d (lead distance) and \(\phi\) (angle of the mask) is calculated for different values of error rates and different values of parameter of the distribution.

Key concepts: CUSUM, Statistics, Negative binomial distribution, Control chart, Mathematics, Chart, Binomial distribution, Binomial (polynomial)

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Effect of Inspection Error on CUSUM Chart for Truncated Negative Binomial Distribution — Research Paper | ScholarLens