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Research Article Open access CC BY 4.0

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

U. Mishra, J. R. Singh

Asian Journal of Probability and Statistics · pp. 30–37 · Published 26 May 2022

10.9734/ajpas/2022/v17i430430

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.

TNBD CSCC ARL inspection error SPRT

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