TY - GEN
T1 - Estimation of a normal process variance from measurements with large round-off errors
AU - Diamanta, Benson Karhi
AU - Ellite, Dvir
AU - Itai, Regev
AU - Edna, Schechtman
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - Measurements are sometimes affected by excessively large round-off errors. Small rounding-off may safely be ignored for purposes of statistical inference however large rounding-off may have an effect. The importance of the round-off is determined by the ratio between the standard deviation σ and the instrument's scale step h, δ =σ /h. In this paper we estimate σ when δ is small (δ < 0.5) using a variant of the Method of Moments (MoM). The MoM estimators are compared with the Maximum Likelihood Estimators (MLE), using simulation. We find that the MoM can improve the estimation in terms of MSE and bias, especially under circumstances where the MLE method is not accurate or cannot provide a solution.
AB - Measurements are sometimes affected by excessively large round-off errors. Small rounding-off may safely be ignored for purposes of statistical inference however large rounding-off may have an effect. The importance of the round-off is determined by the ratio between the standard deviation σ and the instrument's scale step h, δ =σ /h. In this paper we estimate σ when δ is small (δ < 0.5) using a variant of the Method of Moments (MoM). The MoM estimators are compared with the Maximum Likelihood Estimators (MLE), using simulation. We find that the MoM can improve the estimation in terms of MSE and bias, especially under circumstances where the MLE method is not accurate or cannot provide a solution.
KW - Control chart
KW - Curve fitting
KW - Level of quantization
KW - Measurement error
KW - Method of moments
KW - Roundoff error
KW - Statistical process control
UR - http://www.scopus.com/inward/record.url?scp=82155188589&partnerID=8YFLogxK
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AN - SCOPUS:82155188589
SN - 9781618040312
T3 - International Conference on Manufacturing Engineering, Quality and Production Systems, MEQAPS - Proceedings
SP - 297
EP - 302
BT - Recent Advances in Manufacturing Engineering - Proceedings of the 4th International Conference on Manufacturing Engineering, Quality and Production Systems, MEQAPS'11
T2 - 4th International Conference on Manufacturing Engineering, Quality and Production Systems, MEQAPS'11
Y2 - 15 September 2011 through 17 September 2011
ER -