Estimation of Cpm for autocorrelated data in the presence of random measurement errors

Article Type

Research Article

Publication Title

Communications in Statistics: Simulation and Computation

Abstract

Process capability analysis is a widely used process improvement metric. There are several capability indices used in industries to assess the performance of production process. (Formula presented.) is one of the most important capability index which is often used in many industries for assessing the performance of the production process by taking into consideration the target value. Although capability indices are estimated under the assumption that the data are independent but in many industries, process outputs are often autocorrelated. At the same time, no measuring device gives accurate results. In this paper, we discuss the statistical properties of the estimator of (Formula presented.) for autocorrelated data and in the presence of random measurement errors. Here, we show that under the combined effect of autocorrelation and measurement errors, the estimator of (Formula presented.) behaves differently depending upon the variability of the measurement errors.

DOI

https://10.1080/03610918.2023.2278025

Publication Date

1-1-2023

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