COMPARISON OF ESTIMATORS OF STANDARD DEVIATION, MEAN MOVING RANGE AND MEDIAN MOVING RANGE TO ESTIMATE PROCESS STANDARD DEVIATION USING AUTOCORRELATED DATA (TECHNICAL NOTE)

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KALANTARI M.; FATEMI GHOMI S.M.T.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Advances in Industrial Engineering Year:2010 | Volume:44 | Issue:1 Page(s): 89-95

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Title

COMPARISON OF ESTIMATORS OF STANDARD DEVIATION, MEAN MOVING RANGE AND MEDIAN MOVING RANGE TO ESTIMATE PROCESS STANDARD DEVIATION USING AUTOCORRELATED DATA (TECHNICAL NOTE)

Author(s)

KALANTARI M. | FATEMI GHOMI S.M.T. | Issue Writer Certificate

Keywords

X CHARTQ2

INDEPENDENT DATAQ2

AUTOCORRELATIONQ2

AR (1) PROCESSQ2

MULTIVARIATE NORMALQ2

UNIFORM MINIMUM VARIANCE UNBIASED ESTIMATOR (UMVUE)Q2

COMPLETE MINIMAL SUFFICIENT STATISTICQ2

Abstract

Independence of observations is a fundamental assumption in designing an X CHART for individual observations. But unfortunately, the assumption of existence of INDEPENDENT DATA is not even approximately satisfied. In fact, there is one kind of AUTOCORRELATION in the data. This paper demonstrates, through simulating an AR (1) process, that the AUTOCORRELATION in the data has deep effect on X CHART. Moreover, estimators of standard deviation, mean moving range and median moving range to estimate process standard deviation are introduced. Among the cited estimators, the best of them is considered to estimate process standard deviation using autocorrelated data. Finally, two new estimators are presented to estimate process standard deviation using autocorrelated data.

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APA: Copy

KALANTARI, M., & FATEMI GHOMI, S.M.T.. (2010). COMPARISON OF ESTIMATORS OF STANDARD DEVIATION, MEAN MOVING RANGE AND MEDIAN MOVING RANGE TO ESTIMATE PROCESS STANDARD DEVIATION USING AUTOCORRELATED DATA (TECHNICAL NOTE). ADVANCES IN INDUSTRIAL ENGINEERING (JOURNAL OF INDUSTRIAL ENGINEERING), 44(1), 89-95. SID. https://sid.ir/paper/166404/en

Vancouver: Copy

KALANTARI M., FATEMI GHOMI S.M.T.. COMPARISON OF ESTIMATORS OF STANDARD DEVIATION, MEAN MOVING RANGE AND MEDIAN MOVING RANGE TO ESTIMATE PROCESS STANDARD DEVIATION USING AUTOCORRELATED DATA (TECHNICAL NOTE). ADVANCES IN INDUSTRIAL ENGINEERING (JOURNAL OF INDUSTRIAL ENGINEERING)[Internet]. 2010;44(1):89-95. Available from: https://sid.ir/paper/166404/en

IEEE: Copy

M. KALANTARI, and S.M.T. FATEMI GHOMI, “COMPARISON OF ESTIMATORS OF STANDARD DEVIATION, MEAN MOVING RANGE AND MEDIAN MOVING RANGE TO ESTIMATE PROCESS STANDARD DEVIATION USING AUTOCORRELATED DATA (TECHNICAL NOTE),” ADVANCES IN INDUSTRIAL ENGINEERING (JOURNAL OF INDUSTRIAL ENGINEERING), vol. 44, no. 1, pp. 89–95, 2010, [Online]. Available: https://sid.ir/paper/166404/en

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